Samabe1109's picture
download
raw
6.14 kB
"""Neural decoder for quantum syndrome extraction."""
import torch
import torch.nn as nn
import torch.nn.functional as F
class ResidualBlock3D(nn.Module):
"""3D Residual block for syndrome processing."""
def __init__(self, channels, kernel_size=3):
super().__init__()
padding = kernel_size // 2
self.conv1 = nn.Conv3d(channels, channels, kernel_size, padding=padding)
self.norm1 = nn.GroupNorm(8, channels)
self.conv2 = nn.Conv3d(channels, channels, kernel_size, padding=padding)
self.norm2 = nn.GroupNorm(8, channels)
self.activation = nn.GELU()
def forward(self, x):
residual = x
out = self.activation(self.norm1(self.conv1(x)))
out = self.norm2(self.conv2(out))
return self.activation(out + residual)
class QuantumSyndromeDecoder(nn.Module):
"""
3D CNN decoder for surface code syndrome extraction.
Input: (batch, 2, D, D, T) syndrome tensor
- Channel 0: X syndrome events
- Channel 1: Z syndrome events
Output: (batch, 4, D, D, T) error predictions
- Channel 0-1: X error spatial/temporal predictions
- Channel 2-3: Z error spatial/temporal predictions
"""
def __init__(self, distance=5, time_steps=3, channels=128, num_layers=4,
use_residual=True):
super().__init__()
self.distance = distance
self.time_steps = time_steps
# Initial projection
self.input_conv = nn.Conv3d(2, channels, kernel_size=3, padding=1)
self.input_norm = nn.GroupNorm(8, channels)
# Main processing blocks
self.blocks = nn.ModuleList()
for _ in range(num_layers):
if use_residual:
self.blocks.append(ResidualBlock3D(channels))
else:
self.blocks.append(nn.Sequential(
nn.Conv3d(channels, channels, 3, padding=1),
nn.GroupNorm(8, channels),
nn.GELU(),
))
# Output layers
self.output_conv = nn.Conv3d(channels, 4, kernel_size=1)
self.activation = nn.GELU()
def forward(self, x):
"""
Args:
x: (batch, 2, D, D, T) syndrome tensor
Returns:
(batch, 4, D, D, T) error probability logits
"""
x = self.activation(self.input_norm(self.input_conv(x)))
for block in self.blocks:
x = block(x)
x = self.output_conv(x)
return torch.sigmoid(x)
def predict_errors(self, syndrome):
"""Predict error locations from syndrome."""
with torch.no_grad():
probs = self.forward(syndrome)
# Threshold at 0.5
return (probs > 0.5).float()
class RLPolicyNetwork(nn.Module):
"""Policy network for RL-based syndrome decoding."""
def __init__(self, distance=5, time_steps=3, channels=128):
super().__init__()
self.distance = distance
self.time_steps = time_steps
# Shared encoder
self.encoder = QuantumSyndromeDecoder(
distance, time_steps, channels, num_layers=4
)
# Policy head: action probabilities for each qubit
self.policy_head = nn.Sequential(
nn.Conv3d(4, channels, 3, padding=1),
nn.GroupNorm(8, channels),
nn.GELU(),
nn.Conv3d(channels, 3, 1), # 3 actions: no-op, X, Z
)
# Value head: state value estimation
self.value_head = nn.Sequential(
nn.Conv3d(4, channels, 3, padding=1),
nn.GroupNorm(8, channels),
nn.GELU(),
nn.AdaptiveAvgPool3d(1),
nn.Flatten(),
nn.Linear(channels, 1),
)
def forward(self, syndrome):
features = self.encoder(syndrome)
policy_logits = self.policy_head(features)
value = self.value_head(features)
return policy_logits, value
def get_action(self, syndrome, deterministic=False):
"""Sample action from policy."""
policy_logits, value = self.forward(syndrome)
if deterministic:
action = policy_logits.argmax(dim=1)
else:
probs = F.softmax(policy_logits, dim=1)
action = torch.multinomial(
probs.view(-1, 3), 1
).view(probs.shape[0], self.distance, self.distance, self.time_steps)
return action, value
class SynergyExtractor(nn.Module):
"""
Noise-aware syndrome extractor that learns to correct
measurement errors in syndrome extraction.
"""
def __init__(self, distance=5, time_steps=3, channels=64):
super().__init__()
self.distance = distance
# Temporal convolution for syndrome history
self.temporal_conv = nn.Sequential(
nn.Conv3d(2, channels, (1, 1, 3), padding=(0, 0, 1)),
nn.GroupNorm(8, channels),
nn.GELU(),
)
# Spatial processing
self.spatial_conv = nn.Sequential(
nn.Conv3d(channels, channels, 3, padding=1),
nn.GroupNorm(8, channels),
nn.GELU(),
nn.Conv3d(channels, channels, 3, padding=1),
nn.GroupNorm(8, channels),
nn.GELU(),
)
# Denoising output
self.denoise = nn.Conv3d(channels, 2, 1)
# Confidence estimation
self.confidence = nn.Sequential(
nn.Conv3d(channels, 32, 1),
nn.GELU(),
nn.Conv3d(32, 1, 1),
nn.Sigmoid(),
)
def forward(self, syndrome_history):
"""
Args:
syndrome_history: (batch, 2, D, D, T)
Returns:
denoised_syndrome: (batch, 2, D, D, T)
confidence: (batch, 1, D, D, T)
"""
x = self.temporal_conv(syndrome_history)
x = self.spatial_conv(x)
denoised = torch.sigmoid(self.denoise(x))
conf = self.confidence(x)
return denoised, conf

Xet Storage Details

Size:
6.14 kB
·
Xet hash:
da80bdbbeb5d42e828510b88404c3a6e802614f35078519e0114a3ce5469e3ff

Xet efficiently stores files, intelligently splitting them into unique chunks and accelerating uploads and downloads. More info.