| """ |
| Helpers to apply contractions. |
| """ |
|
|
| from functools import partial |
|
|
| import jax |
| import jax.numpy as jnp |
|
|
| from varipeps.peps import PEPS_Tensor |
|
|
| from .definitions import Definitions, Definition |
|
|
| from typing import Sequence, List, Tuple, Dict, Union, Optional |
|
|
|
|
| @partial(jax.jit, static_argnames=("name", "disable_identity_check")) |
| def apply_contraction( |
| name: str, |
| peps_tensors: Sequence[jnp.ndarray], |
| peps_tensor_objs: Sequence[PEPS_Tensor], |
| additional_tensors: Sequence[jnp.ndarray], |
| *, |
| disable_identity_check: bool = True, |
| ) -> jnp.ndarray: |
| """ |
| Apply a contraction to a list of tensors. |
| |
| For details on the contractions and their definition see |
| :class:`varipeps.contractions.Definitions`. |
| |
| Args: |
| name (:obj:`str`): |
| Name of the contraction. Must be a class attribute of the class |
| :class:`varipeps.contractions.Definitions`. |
| peps_tensors (:term:`sequence` of :obj:`jax.numpy.ndarray`): |
| The PEPS tensor arrays that should be contracted. |
| peps_tensor_objs (:term:`sequence` of :obj:`~varipeps.peps.PEPS_Tensor`): |
| The PEPS tensor objects corresponding the the arrays. These arguments are |
| split up due to limitation of the jax library. |
| additional_tensors (:term:`sequence` of :obj:`jax.numpy.ndarray`): |
| Additional non-PEPS tensors which should be contracted (e.g. gates). |
| Keyword args: |
| disable_identity_check (:obj:`bool`): |
| Disable the check if the tensor is identical to the one of the |
| corresponding object. |
| Returns: |
| jax.numpy.ndarray: |
| The contracted tensor. |
| """ |
| if len(peps_tensors) != len(peps_tensor_objs): |
| raise ValueError( |
| "Number of PEPS tensors have to match number of PEPS tensor objects." |
| ) |
|
|
| if ( |
| not disable_identity_check |
| and not all(isinstance(t, jax.core.Tracer) for t in peps_tensors) |
| and not all(isinstance(to.tensor, jax.core.Tracer) for to in peps_tensor_objs) |
| and not all( |
| jnp.allclose(peps_tensors[i], peps_tensor_objs[i].tensor) |
| for i in range(len(peps_tensors)) |
| ) |
| ): |
| raise ValueError( |
| "Sequence of PEPS tensors mismatch the objects sequence. Please check your code!" |
| ) |
|
|
| contraction = getattr(Definitions, name) |
|
|
| if len(contraction["filter_peps_tensors"]) != len(peps_tensors): |
| raise ValueError( |
| f"Number of PEPS tensor ({len(peps_tensors)}) objects does not fit the expected number ({len(contraction['filter_peps_tensors'])})." |
| ) |
|
|
| if len(contraction["filter_additional_tensors"]) != len(additional_tensors): |
| raise ValueError( |
| f"Number of additional tensor ({len(additional_tensors)}) objects does not fit the expected number ({len(contraction['filter_additional_tensors'])})." |
| ) |
|
|
| if not isinstance(additional_tensors, list): |
| additional_tensors = list(additional_tensors) |
|
|
| tensors = [] |
|
|
| for ti, t_filter in enumerate(contraction["filter_peps_tensors"]): |
| for f in t_filter: |
| if f == "tensor": |
| tensors.append(peps_tensors[ti]) |
| elif f == "tensor_conj": |
| if ( |
| hasattr(peps_tensor_objs[ti], "tensor_conj") |
| and peps_tensor_objs[ti].tensor_conj is not None |
| ): |
| tensors.append(peps_tensor_objs[ti].tensor_conj) |
| else: |
| tensors.append(peps_tensors[ti].conj()) |
| else: |
| tensors.append(getattr(peps_tensor_objs[ti], f)) |
|
|
| tensors += additional_tensors |
|
|
| tensor_shapes = tuple(tuple(e.shape) for e in tensors) |
|
|
| return jnp.einsum( |
| contraction["einsum_network"], |
| *tensors, |
| optimize="optimal" if len(tensors) < 10 else "dp", |
| ) |
|
|
|
|
| apply_contraction_jitted = apply_contraction |
|
|