| import jax |
| import jax.numpy as jnp |
|
|
| from varipeps.peps import PEPS_Tensor_Triangular, PEPS_Unit_Cell |
| from varipeps.contractions import apply_contraction_jitted |
| from varipeps.utils.svd import gauge_fixed_svd |
| from varipeps.utils.projector_dict import Projector_Dict_Triangular |
| from varipeps.config import VariPEPS_Config |
| from varipeps.global_state import VariPEPS_Global_State |
|
|
| from .absorption import _tensor_list_from_indices, _post_process_CTM_tensors |
| from .triangular_projectors import ( |
| calc_corner_projectors, |
| calc_T_30_150_270_projectors, |
| calc_T_90_210_330_projectors, |
| calc_split_projectors_phase_1, |
| calc_split_projectors_phase_2, |
| ) |
|
|
| from typing import Sequence, Tuple, List |
|
|
|
|
| def _get_triangular_ctmrg_2x2_structure( |
| peps_tensors: Sequence[jnp.ndarray], |
| view: PEPS_Unit_Cell, |
| ) -> Tuple[List[List[jnp.ndarray]], List[List[PEPS_Tensor_Triangular]]]: |
| x_slice = slice(0, 2, None) |
| y_slice = slice(0, 2, None) |
|
|
| indices = view.get_indices((x_slice, y_slice)) |
| view_tensors = _tensor_list_from_indices(peps_tensors, indices) |
|
|
| view_tensor_objs = view[x_slice, y_slice] |
|
|
| return view_tensors, view_tensor_objs |
|
|
|
|
| def decompose_new_T(new_T, chi, truncation_eps, config): |
| new_T /= jnp.linalg.norm(new_T) |
|
|
| new_T_matrix = new_T.reshape( |
| new_T.shape[0] * new_T.shape[1] * new_T.shape[2], |
| new_T.shape[3] * new_T.shape[4] * new_T.shape[5], |
| ) |
| new_T_U, new_T_S, new_T_Vh = gauge_fixed_svd(new_T_matrix) |
| new_T_S = jnp.where( |
| new_T_S / new_T_S[0] >= truncation_eps, |
| jnp.sqrt(jnp.where(new_T_S / new_T_S[0] >= truncation_eps, new_T_S, 1)), |
| 0, |
| ) |
|
|
| new_Ta = new_T_S[:, jnp.newaxis] * new_T_Vh |
| new_Ta = new_Ta.reshape( |
| new_Ta.shape[0], new_T.shape[3], new_T.shape[4], new_T.shape[5] |
| ) |
| new_Tb = new_T_U * new_T_S[jnp.newaxis, :] |
| new_Tb = new_Tb.reshape( |
| new_T.shape[0], new_T.shape[1], new_T.shape[2], new_Tb.shape[-1] |
| ) |
|
|
| new_Ta_trunc = new_T_S[:chi, jnp.newaxis] * new_T_Vh[:chi, :] |
| new_Ta_trunc = new_Ta_trunc.reshape( |
| new_Ta_trunc.shape[0], new_T.shape[3], new_T.shape[4], new_T.shape[5] |
| ) |
| new_Tb_trunc = new_T_U[:, :chi] * new_T_S[jnp.newaxis, :chi] |
| new_Tb_trunc = new_Tb_trunc.reshape( |
| new_T.shape[0], new_T.shape[1], new_T.shape[2], new_Tb_trunc.shape[-1] |
| ) |
|
|
| return ( |
| _post_process_CTM_tensors(new_Ta, config), |
| _post_process_CTM_tensors(new_Tb, config), |
| _post_process_CTM_tensors(new_Ta_trunc, config), |
| _post_process_CTM_tensors(new_Tb_trunc, config), |
| ) |
|
|
|
|
| def do_absorption_step_triangular( |
| peps_tensors: Sequence[jnp.ndarray], |
| unitcell: PEPS_Unit_Cell, |
| config: VariPEPS_Config, |
| state: VariPEPS_Global_State, |
| ) -> PEPS_Unit_Cell: |
| if config.triangular_ctmrg_use_split: |
| return do_absorption_step_triangular_split( |
| peps_tensors, unitcell, config, state |
| ) |
|
|
| max_x, max_y = unitcell.get_size() |
|
|
| truncation_eps = ( |
| config.ctmrg_truncation_eps |
| if state.ctmrg_effective_truncation_eps is None |
| else state.ctmrg_effective_truncation_eps |
| ) |
|
|
| corner_30_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_90_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_150_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_210_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_270_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_330_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
|
|
| T_30_projectors = Projector_Dict_Triangular(view=unitcell, max_x=max_x, max_y=max_y) |
| T_90_projectors = Projector_Dict_Triangular(view=unitcell, max_x=max_x, max_y=max_y) |
| T_150_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| T_210_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| T_270_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| T_330_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
|
|
| smallest_S_list = [] |
|
|
| working_unitcell = unitcell.copy() |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| ( |
| proj_30, |
| proj_90, |
| proj_150, |
| proj_210, |
| proj_270, |
| proj_330, |
| smallest_S_corner, |
| ) = calc_corner_projectors( |
| *_get_triangular_ctmrg_2x2_structure(peps_tensors, view), config, state |
| ) |
|
|
| corner_30_projectors[(x, y)] = proj_30 |
| corner_90_projectors[(x, y)] = proj_90 |
| corner_150_projectors[(x, y)] = proj_150 |
| corner_210_projectors[(x, y)] = proj_210 |
| corner_270_projectors[(x + 1, y)] = proj_270 |
| corner_330_projectors[(x, y + 1)] = proj_330 |
|
|
| smallest_S_list.append(smallest_S_corner) |
|
|
| new_C1_list = [] |
| new_C2_list = [] |
| new_C3_list = [] |
| new_C4_list = [] |
| new_C5_list = [] |
| new_C6_list = [] |
| new_T1a_list = [] |
| new_T1b_list = [] |
| new_T2a_list = [] |
| new_T2b_list = [] |
| new_T3a_list = [] |
| new_T3b_list = [] |
| new_T4a_list = [] |
| new_T4b_list = [] |
| new_T5a_list = [] |
| new_T5b_list = [] |
| new_T6a_list = [] |
| new_T6b_list = [] |
| new_T1a_trunc_list = [] |
| new_T1b_trunc_list = [] |
| new_T2a_trunc_list = [] |
| new_T2b_trunc_list = [] |
| new_T3a_trunc_list = [] |
| new_T3b_trunc_list = [] |
| new_T4a_trunc_list = [] |
| new_T4b_trunc_list = [] |
| new_T5a_trunc_list = [] |
| new_T5b_trunc_list = [] |
| new_T6a_trunc_list = [] |
| new_T6b_trunc_list = [] |
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| working_tensor = peps_tensors[view.get_indices((0, 0))[0][0]] |
| working_tensor_obj = view[0, 0][0][0] |
|
|
| C1_proj_left = corner_150_projectors.get_projector(x, y, 0, 0)[0] |
| C1_proj_right = corner_90_projectors.get_projector(x, y, 0, 0)[1] |
| new_C1 = apply_contraction_jitted( |
| "triangular_ctmrg_C1_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [C1_proj_left, C1_proj_right], |
| ) |
| new_C1_list.append(_post_process_CTM_tensors(new_C1, config)) |
|
|
| C2_proj_left = corner_90_projectors.get_projector(x, y, 0, -1)[0] |
| C2_proj_right = corner_30_projectors.get_projector(x, y, 0, 0)[1] |
| new_C2 = apply_contraction_jitted( |
| "triangular_ctmrg_C2_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [C2_proj_left, C2_proj_right], |
| ) |
| new_C2_list.append(_post_process_CTM_tensors(new_C2, config)) |
|
|
| C3_proj_left = corner_30_projectors.get_projector(x, y, -1, -1)[0] |
| C3_proj_right = corner_330_projectors.get_projector(x, y, 0, 0)[1] |
| new_C3 = apply_contraction_jitted( |
| "triangular_ctmrg_C3_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [C3_proj_left, C3_proj_right], |
| ) |
| new_C3_list.append(_post_process_CTM_tensors(new_C3, config)) |
|
|
| C4_proj_left = corner_330_projectors.get_projector(x, y, -1, 0)[0] |
| C4_proj_right = corner_270_projectors.get_projector(x, y, 0, -1)[1] |
| new_C4 = apply_contraction_jitted( |
| "triangular_ctmrg_C4_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [C4_proj_left, C4_proj_right], |
| ) |
| new_C4_list.append(_post_process_CTM_tensors(new_C4, config)) |
|
|
| C5_proj_left = corner_270_projectors.get_projector(x, y, 0, 0)[0] |
| C5_proj_right = corner_210_projectors.get_projector(x, y, -1, -1)[1] |
| new_C5 = apply_contraction_jitted( |
| "triangular_ctmrg_C5_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [C5_proj_left, C5_proj_right], |
| ) |
| new_C5_list.append(_post_process_CTM_tensors(new_C5, config)) |
|
|
| C6_proj_left = corner_210_projectors.get_projector(x, y, 0, 0)[0] |
| C6_proj_right = corner_150_projectors.get_projector(x, y, -1, 0)[1] |
| new_C6 = apply_contraction_jitted( |
| "triangular_ctmrg_C6_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [C6_proj_left, C6_proj_right], |
| ) |
| new_C6_list.append(_post_process_CTM_tensors(new_C6, config)) |
|
|
| T1_proj_left = corner_90_projectors.get_projector(x, y, 0, -1)[0] |
| T1_proj_right = corner_90_projectors.get_projector(x, y, 0, 0)[1] |
| new_T1 = apply_contraction_jitted( |
| "triangular_ctmrg_T1_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [T1_proj_left, T1_proj_right], |
| ) |
| new_T1a, new_T1b, new_T1a_trunc, new_T1b_trunc = decompose_new_T( |
| new_T1, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T1a_list.append(new_T1a) |
| new_T1b_list.append(new_T1b) |
| new_T1a_trunc_list.append(new_T1a_trunc) |
| new_T1b_trunc_list.append(new_T1b_trunc) |
|
|
| T2_proj_left = corner_30_projectors.get_projector(x, y, -1, -1)[0] |
| T2_proj_right = corner_30_projectors.get_projector(x, y, 0, 0)[1] |
| new_T2 = apply_contraction_jitted( |
| "triangular_ctmrg_T2_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [T2_proj_left, T2_proj_right], |
| ) |
| new_T2a, new_T2b, new_T2a_trunc, new_T2b_trunc = decompose_new_T( |
| new_T2, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T2a_list.append(new_T2a) |
| new_T2b_list.append(new_T2b) |
| new_T2a_trunc_list.append(new_T2a_trunc) |
| new_T2b_trunc_list.append(new_T2b_trunc) |
|
|
| T3_proj_left = corner_330_projectors.get_projector(x, y, -1, 0)[0] |
| T3_proj_right = corner_330_projectors.get_projector(x, y, 0, 0)[1] |
| new_T3 = apply_contraction_jitted( |
| "triangular_ctmrg_T3_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [T3_proj_left, T3_proj_right], |
| ) |
| new_T3a, new_T3b, new_T3a_trunc, new_T3b_trunc = decompose_new_T( |
| new_T3, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T3a_list.append(new_T3a) |
| new_T3b_list.append(new_T3b) |
| new_T3a_trunc_list.append(new_T3a_trunc) |
| new_T3b_trunc_list.append(new_T3b_trunc) |
|
|
| T4_proj_left = corner_270_projectors.get_projector(x, y, 0, 0)[0] |
| T4_proj_right = corner_270_projectors.get_projector(x, y, 0, -1)[1] |
| new_T4 = apply_contraction_jitted( |
| "triangular_ctmrg_T4_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [T4_proj_left, T4_proj_right], |
| ) |
| new_T4a, new_T4b, new_T4a_trunc, new_T4b_trunc = decompose_new_T( |
| new_T4, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T4a_list.append(new_T4a) |
| new_T4b_list.append(new_T4b) |
| new_T4a_trunc_list.append(new_T4a_trunc) |
| new_T4b_trunc_list.append(new_T4b_trunc) |
|
|
| T5_proj_left = corner_210_projectors.get_projector(x, y, 0, 0)[0] |
| T5_proj_right = corner_210_projectors.get_projector(x, y, -1, -1)[1] |
| new_T5 = apply_contraction_jitted( |
| "triangular_ctmrg_T5_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [T5_proj_left, T5_proj_right], |
| ) |
| new_T5a, new_T5b, new_T5a_trunc, new_T5b_trunc = decompose_new_T( |
| new_T5, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T5a_list.append(new_T5a) |
| new_T5b_list.append(new_T5b) |
| new_T5a_trunc_list.append(new_T5a_trunc) |
| new_T5b_trunc_list.append(new_T5b_trunc) |
|
|
| T6_proj_left = corner_150_projectors.get_projector(x, y, 0, 0)[0] |
| T6_proj_right = corner_150_projectors.get_projector(x, y, -1, 0)[1] |
| new_T6 = apply_contraction_jitted( |
| "triangular_ctmrg_T6_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [T6_proj_left, T6_proj_right], |
| ) |
| new_T6a, new_T6b, new_T6a_trunc, new_T6b_trunc = decompose_new_T( |
| new_T6, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T6a_list.append(new_T6a) |
| new_T6b_list.append(new_T6b) |
| new_T6a_trunc_list.append(new_T6a_trunc) |
| new_T6b_trunc_list.append(new_T6b_trunc) |
|
|
| i = 0 |
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| new_t = view[1, 1][0][0].copy_including_trunc() |
| new_t.C1 = new_C1_list[i] |
| new_t.T1a = new_T1a_list[i] |
| new_t.T6b = new_T6b_list[i] |
| new_t.T1a_trunc = new_T1a_trunc_list[i] |
| new_t.T6b_trunc = new_T6b_trunc_list[i] |
| view[1, 1] = new_t |
|
|
| new_t = view[1, 0][0][0].copy_including_trunc() |
| new_t.C2 = new_C2_list[i] |
| new_t.T1b = new_T1b_list[i] |
| new_t.T2a = new_T2a_list[i] |
| new_t.T1b_trunc = new_T1b_trunc_list[i] |
| new_t.T2a_trunc = new_T2a_trunc_list[i] |
| view[1, 0] = new_t |
|
|
| new_t = view[0, -1][0][0].copy_including_trunc() |
| new_t.C3 = new_C3_list[i] |
| new_t.T2b = new_T2b_list[i] |
| new_t.T3a = new_T3a_list[i] |
| new_t.T2b_trunc = new_T2b_trunc_list[i] |
| new_t.T3a_trunc = new_T3a_trunc_list[i] |
| view[0, -1] = new_t |
|
|
| new_t = view[-1, -1][0][0].copy_including_trunc() |
| new_t.C4 = new_C4_list[i] |
| new_t.T3b = new_T3b_list[i] |
| new_t.T4a = new_T4a_list[i] |
| new_t.T3b_trunc = new_T3b_trunc_list[i] |
| new_t.T4a_trunc = new_T4a_trunc_list[i] |
| view[-1, -1] = new_t |
|
|
| new_t = view[-1, 0][0][0].copy_including_trunc() |
| new_t.C5 = new_C5_list[i] |
| new_t.T4b = new_T4b_list[i] |
| new_t.T5a = new_T5a_list[i] |
| new_t.T4b_trunc = new_T4b_trunc_list[i] |
| new_t.T5a_trunc = new_T5a_trunc_list[i] |
| view[-1, 0] = new_t |
|
|
| new_t = view[0, 1][0][0].copy_including_trunc() |
| new_t.C6 = new_C6_list[i] |
| new_t.T5b = new_T5b_list[i] |
| new_t.T6a = new_T6a_list[i] |
| new_t.T5b_trunc = new_T5b_trunc_list[i] |
| new_t.T6a_trunc = new_T6a_trunc_list[i] |
| view[0, 1] = new_t |
|
|
| i += 1 |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| proj_90, proj_210, proj_330, smallest_S_T = calc_T_90_210_330_projectors( |
| *_get_triangular_ctmrg_2x2_structure(peps_tensors, view), config, state |
| ) |
|
|
| T_90_projectors[(x, y)] = proj_90 |
| T_210_projectors[(x, y)] = proj_210 |
| T_330_projectors[(x, y)] = proj_330 |
|
|
| smallest_S_list.append(smallest_S_T) |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| new_t = view[0, 0][0][0].copy() |
|
|
| new_t.T1a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_90_projectors.get_projector(x, y, 0, -1)[0], |
| new_t.T1a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T1b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T1b, |
| T_90_projectors.get_projector(x, y, 0, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T3a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_330_projectors.get_projector(x, y, -1, 0)[0], |
| new_t.T3a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T3b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T3b, |
| T_330_projectors.get_projector(x, y, 0, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T5a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_210_projectors.get_projector(x, y, 0, 0)[0], |
| new_t.T5a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T5b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T5b, |
| T_210_projectors.get_projector(x, y, -1, -1)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| view[0, 0] = new_t |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| proj_30, proj_150, proj_270, smallest_S_T = calc_T_30_150_270_projectors( |
| *_get_triangular_ctmrg_2x2_structure(peps_tensors, view), config, state |
| ) |
|
|
| T_30_projectors[(x, y)] = proj_30 |
| T_150_projectors[(x, y)] = proj_150 |
| T_270_projectors[(x, y)] = proj_270 |
|
|
| smallest_S_list.append(smallest_S_T) |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| new_t = view[0, 0][0][0].copy() |
|
|
| new_t.T2a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_30_projectors.get_projector(x, y, -1, -1)[0], |
| new_t.T2a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T2b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T2b, |
| T_30_projectors.get_projector(x, y, 0, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T4a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_270_projectors.get_projector(x, y, 0, 0)[0], |
| new_t.T4a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T4b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T4b, |
| T_270_projectors.get_projector(x, y, 0, -1)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T6a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_150_projectors.get_projector(x, y, 0, 0)[0], |
| new_t.T6a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T6b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T6b, |
| T_150_projectors.get_projector(x, y, -1, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| view[0, 0] = new_t |
|
|
| smallest_S = jnp.linalg.norm( |
| jnp.asarray([j for i in smallest_S_list for j in i]), ord=jnp.inf |
| ) |
|
|
| return working_unitcell, smallest_S |
|
|
|
|
| def do_absorption_step_triangular_split( |
| peps_tensors: Sequence[jnp.ndarray], |
| unitcell: PEPS_Unit_Cell, |
| config: VariPEPS_Config, |
| state: VariPEPS_Global_State, |
| ) -> PEPS_Unit_Cell: |
| max_x, max_y = unitcell.get_size() |
|
|
| truncation_eps = ( |
| config.ctmrg_truncation_eps |
| if state.ctmrg_effective_truncation_eps is None |
| else state.ctmrg_effective_truncation_eps |
| ) |
|
|
| corner_30_ket_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_30_bra_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_90_ket_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_90_bra_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_150_ket_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_150_bra_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_210_ket_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_210_bra_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_270_ket_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_270_bra_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_330_ket_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| corner_330_bra_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
|
|
| T_30_projectors = Projector_Dict_Triangular(view=unitcell, max_x=max_x, max_y=max_y) |
| T_90_projectors = Projector_Dict_Triangular(view=unitcell, max_x=max_x, max_y=max_y) |
| T_150_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| T_210_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| T_270_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
| T_330_projectors = Projector_Dict_Triangular( |
| view=unitcell, max_x=max_x, max_y=max_y |
| ) |
|
|
| smallest_S_list = [] |
|
|
| working_unitcell = unitcell.copy() |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| ( |
| proj_30_ket, |
| proj_90_ket, |
| proj_150_ket, |
| proj_210_bra, |
| proj_270_bra, |
| proj_330_bra, |
| smallest_S_corner, |
| ) = calc_split_projectors_phase_1( |
| *_get_triangular_ctmrg_2x2_structure(peps_tensors, view), config, state |
| ) |
|
|
| corner_30_ket_projectors[(x, y)] = proj_30_ket |
| corner_90_ket_projectors[(x, y)] = proj_90_ket |
| corner_150_ket_projectors[(x, y)] = proj_150_ket |
| corner_210_bra_projectors[(x, y)] = proj_210_bra |
| corner_270_bra_projectors[(x, y)] = proj_270_bra |
| corner_330_bra_projectors[(x, y)] = proj_330_bra |
|
|
| smallest_S_list.append(smallest_S_corner) |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| ( |
| proj_30_bra, |
| proj_90_bra, |
| proj_150_bra, |
| proj_210_ket, |
| proj_270_ket, |
| proj_330_ket, |
| smallest_S_corner, |
| ) = calc_split_projectors_phase_2( |
| *_get_triangular_ctmrg_2x2_structure(peps_tensors, view), |
| *corner_30_ket_projectors.get_projector(x, y, 0, 0), |
| *corner_90_ket_projectors.get_projector(x, y, 0, 0), |
| *corner_150_ket_projectors.get_projector(x, y, 0, 0), |
| *corner_210_bra_projectors.get_projector(x, y, 0, 0), |
| *corner_270_bra_projectors.get_projector(x, y, 1, 0), |
| *corner_330_bra_projectors.get_projector(x, y, 0, 1), |
| config, |
| state, |
| ) |
|
|
| corner_30_bra_projectors[(x, y)] = proj_30_bra |
| corner_90_bra_projectors[(x, y)] = proj_90_bra |
| corner_150_bra_projectors[(x, y)] = proj_150_bra |
| corner_210_ket_projectors[(x, y)] = proj_210_ket |
| corner_270_ket_projectors[(x + 1, y)] = proj_270_ket |
| corner_330_ket_projectors[(x, y + 1)] = proj_330_ket |
|
|
| smallest_S_list.append(smallest_S_corner) |
|
|
| new_C1_list = [] |
| new_C2_list = [] |
| new_C3_list = [] |
| new_C4_list = [] |
| new_C5_list = [] |
| new_C6_list = [] |
| new_T1a_list = [] |
| new_T1b_list = [] |
| new_T2a_list = [] |
| new_T2b_list = [] |
| new_T3a_list = [] |
| new_T3b_list = [] |
| new_T4a_list = [] |
| new_T4b_list = [] |
| new_T5a_list = [] |
| new_T5b_list = [] |
| new_T6a_list = [] |
| new_T6b_list = [] |
| new_T1a_trunc_list = [] |
| new_T1b_trunc_list = [] |
| new_T2a_trunc_list = [] |
| new_T2b_trunc_list = [] |
| new_T3a_trunc_list = [] |
| new_T3b_trunc_list = [] |
| new_T4a_trunc_list = [] |
| new_T4b_trunc_list = [] |
| new_T5a_trunc_list = [] |
| new_T5b_trunc_list = [] |
| new_T6a_trunc_list = [] |
| new_T6b_trunc_list = [] |
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| working_tensor = peps_tensors[view.get_indices((0, 0))[0][0]] |
| working_tensor_obj = view[0, 0][0][0] |
|
|
| C1_proj_left_bra = corner_150_bra_projectors.get_projector(x, y, 0, 0)[0] |
| C1_proj_left_ket = corner_150_ket_projectors.get_projector(x, y, 0, 0)[0] |
| C1_proj_right_ket = corner_90_ket_projectors.get_projector(x, y, 0, 0)[1] |
| C1_proj_right_bra = corner_90_bra_projectors.get_projector(x, y, 0, 0)[1] |
| new_C1 = apply_contraction_jitted( |
| "triangular_ctmrg_split_C1_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| C1_proj_left_bra, |
| C1_proj_left_ket, |
| C1_proj_right_ket, |
| C1_proj_right_bra, |
| ], |
| ) |
| new_C1_list.append(_post_process_CTM_tensors(new_C1, config)) |
|
|
| C2_proj_left_bra = corner_90_bra_projectors.get_projector(x, y, 0, -1)[0] |
| C2_proj_left_ket = corner_90_ket_projectors.get_projector(x, y, 0, -1)[0] |
| C2_proj_right_ket = corner_30_ket_projectors.get_projector(x, y, 0, 0)[1] |
| C2_proj_right_bra = corner_30_bra_projectors.get_projector(x, y, 0, 0)[1] |
| new_C2 = apply_contraction_jitted( |
| "triangular_ctmrg_split_C2_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| C2_proj_left_bra, |
| C2_proj_left_ket, |
| C2_proj_right_ket, |
| C2_proj_right_bra, |
| ], |
| ) |
| new_C2_list.append(_post_process_CTM_tensors(new_C2, config)) |
|
|
| C3_proj_left_bra = corner_30_bra_projectors.get_projector(x, y, -1, -1)[0] |
| C3_proj_left_ket = corner_30_ket_projectors.get_projector(x, y, -1, -1)[0] |
| C3_proj_right_bra = corner_330_bra_projectors.get_projector(x, y, 0, 0)[1] |
| C3_proj_right_ket = corner_330_ket_projectors.get_projector(x, y, 0, 0)[1] |
| new_C3 = apply_contraction_jitted( |
| "triangular_ctmrg_split_C3_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| C3_proj_left_bra, |
| C3_proj_left_ket, |
| C3_proj_right_bra, |
| C3_proj_right_ket, |
| ], |
| ) |
| new_C3_list.append(_post_process_CTM_tensors(new_C3, config)) |
|
|
| C4_proj_left_ket = corner_330_ket_projectors.get_projector(x, y, -1, 0)[0] |
| C4_proj_left_bra = corner_330_bra_projectors.get_projector(x, y, -1, 0)[0] |
| C4_proj_right_bra = corner_270_bra_projectors.get_projector(x, y, 0, -1)[1] |
| C4_proj_right_ket = corner_270_ket_projectors.get_projector(x, y, 0, -1)[1] |
| new_C4 = apply_contraction_jitted( |
| "triangular_ctmrg_split_C4_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| C4_proj_left_ket, |
| C4_proj_left_bra, |
| C4_proj_right_bra, |
| C4_proj_right_ket, |
| ], |
| ) |
| new_C4_list.append(_post_process_CTM_tensors(new_C4, config)) |
|
|
| C5_proj_left_ket = corner_270_ket_projectors.get_projector(x, y, 0, 0)[0] |
| C5_proj_left_bra = corner_270_bra_projectors.get_projector(x, y, 0, 0)[0] |
| C5_proj_right_bra = corner_210_bra_projectors.get_projector(x, y, -1, -1)[1] |
| C5_proj_right_ket = corner_210_ket_projectors.get_projector(x, y, -1, -1)[1] |
| new_C5 = apply_contraction_jitted( |
| "triangular_ctmrg_split_C5_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| C5_proj_left_ket, |
| C5_proj_left_bra, |
| C5_proj_right_bra, |
| C5_proj_right_ket, |
| ], |
| ) |
| new_C5_list.append(_post_process_CTM_tensors(new_C5, config)) |
|
|
| C6_proj_left_ket = corner_210_ket_projectors.get_projector(x, y, 0, 0)[0] |
| C6_proj_left_bra = corner_210_bra_projectors.get_projector(x, y, 0, 0)[0] |
| C6_proj_right_ket = corner_150_ket_projectors.get_projector(x, y, -1, 0)[1] |
| C6_proj_right_bra = corner_150_bra_projectors.get_projector(x, y, -1, 0)[1] |
| new_C6 = apply_contraction_jitted( |
| "triangular_ctmrg_split_C6_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| C6_proj_left_ket, |
| C6_proj_left_bra, |
| C6_proj_right_ket, |
| C6_proj_right_bra, |
| ], |
| ) |
| new_C6_list.append(_post_process_CTM_tensors(new_C6, config)) |
|
|
| T1_proj_left_bra = corner_90_bra_projectors.get_projector(x, y, 0, -1)[0] |
| T1_proj_left_ket = corner_90_ket_projectors.get_projector(x, y, 0, -1)[0] |
| T1_proj_right_ket = corner_90_ket_projectors.get_projector(x, y, 0, 0)[1] |
| T1_proj_right_bra = corner_90_bra_projectors.get_projector(x, y, 0, 0)[1] |
| new_T1 = apply_contraction_jitted( |
| "triangular_ctmrg_split_T1_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| T1_proj_left_bra, |
| T1_proj_left_ket, |
| T1_proj_right_ket, |
| T1_proj_right_bra, |
| ], |
| ) |
| new_T1a, new_T1b, new_T1a_trunc, new_T1b_trunc = decompose_new_T( |
| new_T1, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T1a_list.append(new_T1a) |
| new_T1b_list.append(new_T1b) |
| new_T1a_trunc_list.append(new_T1a_trunc) |
| new_T1b_trunc_list.append(new_T1b_trunc) |
|
|
| T2_proj_left_bra = corner_30_bra_projectors.get_projector(x, y, -1, -1)[0] |
| T2_proj_left_ket = corner_30_ket_projectors.get_projector(x, y, -1, -1)[0] |
| T2_proj_right_ket = corner_30_ket_projectors.get_projector(x, y, 0, 0)[1] |
| T2_proj_right_bra = corner_30_bra_projectors.get_projector(x, y, 0, 0)[1] |
| new_T2 = apply_contraction_jitted( |
| "triangular_ctmrg_split_T2_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| T2_proj_left_bra, |
| T2_proj_left_ket, |
| T2_proj_right_ket, |
| T2_proj_right_bra, |
| ], |
| ) |
| new_T2a, new_T2b, new_T2a_trunc, new_T2b_trunc = decompose_new_T( |
| new_T2, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T2a_list.append(new_T2a) |
| new_T2b_list.append(new_T2b) |
| new_T2a_trunc_list.append(new_T2a_trunc) |
| new_T2b_trunc_list.append(new_T2b_trunc) |
|
|
| T3_proj_left_ket = corner_330_ket_projectors.get_projector(x, y, -1, 0)[0] |
| T3_proj_left_bra = corner_330_bra_projectors.get_projector(x, y, -1, 0)[0] |
| T3_proj_right_bra = corner_330_bra_projectors.get_projector(x, y, 0, 0)[1] |
| T3_proj_right_ket = corner_330_ket_projectors.get_projector(x, y, 0, 0)[1] |
| new_T3 = apply_contraction_jitted( |
| "triangular_ctmrg_split_T3_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| T3_proj_left_ket, |
| T3_proj_left_bra, |
| T3_proj_right_bra, |
| T3_proj_right_ket, |
| ], |
| ) |
| new_T3a, new_T3b, new_T3a_trunc, new_T3b_trunc = decompose_new_T( |
| new_T3, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T3a_list.append(new_T3a) |
| new_T3b_list.append(new_T3b) |
| new_T3a_trunc_list.append(new_T3a_trunc) |
| new_T3b_trunc_list.append(new_T3b_trunc) |
|
|
| T4_proj_left_ket = corner_270_ket_projectors.get_projector(x, y, 0, 0)[0] |
| T4_proj_left_bra = corner_270_bra_projectors.get_projector(x, y, 0, 0)[0] |
| T4_proj_right_bra = corner_270_bra_projectors.get_projector(x, y, 0, -1)[1] |
| T4_proj_right_ket = corner_270_ket_projectors.get_projector(x, y, 0, -1)[1] |
| new_T4 = apply_contraction_jitted( |
| "triangular_ctmrg_split_T4_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| T4_proj_left_ket, |
| T4_proj_left_bra, |
| T4_proj_right_bra, |
| T4_proj_right_ket, |
| ], |
| ) |
| new_T4a, new_T4b, new_T4a_trunc, new_T4b_trunc = decompose_new_T( |
| new_T4, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T4a_list.append(new_T4a) |
| new_T4b_list.append(new_T4b) |
| new_T4a_trunc_list.append(new_T4a_trunc) |
| new_T4b_trunc_list.append(new_T4b_trunc) |
|
|
| T5_proj_left_ket = corner_210_ket_projectors.get_projector(x, y, 0, 0)[0] |
| T5_proj_left_bra = corner_210_bra_projectors.get_projector(x, y, 0, 0)[0] |
| T5_proj_right_bra = corner_210_bra_projectors.get_projector(x, y, -1, -1)[1] |
| T5_proj_right_ket = corner_210_ket_projectors.get_projector(x, y, -1, -1)[1] |
| new_T5 = apply_contraction_jitted( |
| "triangular_ctmrg_split_T5_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| T5_proj_left_ket, |
| T5_proj_left_bra, |
| T5_proj_right_bra, |
| T5_proj_right_ket, |
| ], |
| ) |
| new_T5a, new_T5b, new_T5a_trunc, new_T5b_trunc = decompose_new_T( |
| new_T5, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T5a_list.append(new_T5a) |
| new_T5b_list.append(new_T5b) |
| new_T5a_trunc_list.append(new_T5a_trunc) |
| new_T5b_trunc_list.append(new_T5b_trunc) |
|
|
| T6_proj_left_bra = corner_150_bra_projectors.get_projector(x, y, 0, 0)[0] |
| T6_proj_left_ket = corner_150_ket_projectors.get_projector(x, y, 0, 0)[0] |
| T6_proj_right_ket = corner_150_ket_projectors.get_projector(x, y, -1, 0)[1] |
| T6_proj_right_bra = corner_150_bra_projectors.get_projector(x, y, -1, 0)[1] |
| new_T6 = apply_contraction_jitted( |
| "triangular_ctmrg_split_T6_absorption", |
| [working_tensor], |
| [working_tensor_obj], |
| [ |
| T6_proj_left_bra, |
| T6_proj_left_ket, |
| T6_proj_right_ket, |
| T6_proj_right_bra, |
| ], |
| ) |
| new_T6a, new_T6b, new_T6a_trunc, new_T6b_trunc = decompose_new_T( |
| new_T6, working_tensor_obj.chi, truncation_eps, config |
| ) |
| new_T6a_list.append(new_T6a) |
| new_T6b_list.append(new_T6b) |
| new_T6a_trunc_list.append(new_T6a_trunc) |
| new_T6b_trunc_list.append(new_T6b_trunc) |
|
|
| i = 0 |
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| new_t = view[1, 1][0][0].copy_including_trunc() |
| new_t.C1 = new_C1_list[i] |
| new_t.T1a = new_T1a_list[i] |
| new_t.T6b = new_T6b_list[i] |
| new_t.T1a_trunc = new_T1a_trunc_list[i] |
| new_t.T6b_trunc = new_T6b_trunc_list[i] |
| view[1, 1] = new_t |
|
|
| new_t = view[1, 0][0][0].copy_including_trunc() |
| new_t.C2 = new_C2_list[i] |
| new_t.T1b = new_T1b_list[i] |
| new_t.T2a = new_T2a_list[i] |
| new_t.T1b_trunc = new_T1b_trunc_list[i] |
| new_t.T2a_trunc = new_T2a_trunc_list[i] |
| view[1, 0] = new_t |
|
|
| new_t = view[0, -1][0][0].copy_including_trunc() |
| new_t.C3 = new_C3_list[i] |
| new_t.T2b = new_T2b_list[i] |
| new_t.T3a = new_T3a_list[i] |
| new_t.T2b_trunc = new_T2b_trunc_list[i] |
| new_t.T3a_trunc = new_T3a_trunc_list[i] |
| view[0, -1] = new_t |
|
|
| new_t = view[-1, -1][0][0].copy_including_trunc() |
| new_t.C4 = new_C4_list[i] |
| new_t.T3b = new_T3b_list[i] |
| new_t.T4a = new_T4a_list[i] |
| new_t.T3b_trunc = new_T3b_trunc_list[i] |
| new_t.T4a_trunc = new_T4a_trunc_list[i] |
| view[-1, -1] = new_t |
|
|
| new_t = view[-1, 0][0][0].copy_including_trunc() |
| new_t.C5 = new_C5_list[i] |
| new_t.T4b = new_T4b_list[i] |
| new_t.T5a = new_T5a_list[i] |
| new_t.T4b_trunc = new_T4b_trunc_list[i] |
| new_t.T5a_trunc = new_T5a_trunc_list[i] |
| view[-1, 0] = new_t |
|
|
| new_t = view[0, 1][0][0].copy_including_trunc() |
| new_t.C6 = new_C6_list[i] |
| new_t.T5b = new_T5b_list[i] |
| new_t.T6a = new_T6a_list[i] |
| new_t.T5b_trunc = new_T5b_trunc_list[i] |
| new_t.T6a_trunc = new_T6a_trunc_list[i] |
| view[0, 1] = new_t |
|
|
| i += 1 |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| proj_90, proj_210, proj_330, smallest_S_T = calc_T_90_210_330_projectors( |
| *_get_triangular_ctmrg_2x2_structure(peps_tensors, view), config, state |
| ) |
|
|
| T_90_projectors[(x, y)] = proj_90 |
| T_210_projectors[(x, y)] = proj_210 |
| T_330_projectors[(x, y)] = proj_330 |
|
|
| smallest_S_list.append(smallest_S_T) |
|
|
| proj_30, proj_150, proj_270, smallest_S_T = calc_T_30_150_270_projectors( |
| *_get_triangular_ctmrg_2x2_structure(peps_tensors, view), config, state |
| ) |
|
|
| T_30_projectors[(x, y)] = proj_30 |
| T_150_projectors[(x, y)] = proj_150 |
| T_270_projectors[(x, y)] = proj_270 |
|
|
| smallest_S_list.append(smallest_S_T) |
|
|
| for x, iter_rows in working_unitcell.iter_all_rows(only_unique=True): |
| for y, view in iter_rows: |
| new_t = view[0, 0][0][0].copy() |
|
|
| new_t.T1a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_90_projectors.get_projector(x, y, 0, -1)[0], |
| new_t.T1a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T1b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T1b, |
| T_90_projectors.get_projector(x, y, 0, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T2a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_30_projectors.get_projector(x, y, -1, -1)[0], |
| new_t.T2a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T2b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T2b, |
| T_30_projectors.get_projector(x, y, 0, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T3a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_330_projectors.get_projector(x, y, -1, 0)[0], |
| new_t.T3a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T3b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T3b, |
| T_330_projectors.get_projector(x, y, 0, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T4a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_270_projectors.get_projector(x, y, 0, 0)[0], |
| new_t.T4a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T4b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T4b, |
| T_270_projectors.get_projector(x, y, 0, -1)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T5a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_210_projectors.get_projector(x, y, 0, 0)[0], |
| new_t.T5a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T5b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T5b, |
| T_210_projectors.get_projector(x, y, -1, -1)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| new_t.T6a = _post_process_CTM_tensors( |
| jnp.tensordot( |
| T_150_projectors.get_projector(x, y, 0, 0)[0], |
| new_t.T6a, |
| ((1,), (0,)), |
| ), |
| config, |
| ) |
| new_t.T6b = _post_process_CTM_tensors( |
| jnp.tensordot( |
| new_t.T6b, |
| T_150_projectors.get_projector(x, y, -1, 0)[1], |
| ((3,), (0,)), |
| ), |
| config, |
| ) |
|
|
| view[0, 0] = new_t |
|
|
| smallest_S = jnp.linalg.norm( |
| jnp.asarray([j for i in smallest_S_list for j in i]), ord=jnp.inf |
| ) |
|
|
| return working_unitcell, smallest_S |
|
|
