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tensorflow_quantum/core/ops/noise/noisy_sampled_expectation_op.py
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# Copyright 2020 The TensorFlow Quantum Authors. All Rights Reserved. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
# ============================================================================== | ||
"""Module for high performance noisy circuit sampled epxectation ops.""" | ||
import os | ||
import tensorflow as tf | ||
from tensorflow_quantum.core.ops.load_module import load_module | ||
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NOISY_OP_MODULE = load_module(os.path.join("noise", "_tfq_noise_ops.so")) | ||
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def sampled_expectation(programs, symbol_names, symbol_values, pauli_sums, | ||
num_samples): | ||
"""Estimates (via sampling) expectation values using monte-carlo simulation. | ||
Simulate the final state of `programs` given `symbol_values` are placed | ||
inside of the symbols with the name in `symbol_names` in each circuit. | ||
Channels in this simulation will be "tossed" to a certain realization | ||
during simulation. This simulation is repeated `num_samples` times and | ||
bitstring based expectation calculations with the given `pauli_sums` are | ||
calculated after each run. Once all the runs are finished, these quantities | ||
are averaged together. | ||
>>> # Prepare some inputs. | ||
>>> qubit = cirq.GridQubit(0, 0) | ||
>>> my_symbol = sympy.Symbol('alpha') | ||
>>> my_circuit_tensor = tfq.convert_to_tensor([ | ||
... cirq.Circuit( | ||
... cirq.H(qubit) ** my_symbol, | ||
... cirq.depolarize(0.01)(qubit) | ||
... ) | ||
... ]) | ||
>>> my_values = np.array([[0.123]]) | ||
>>> my_paulis = tfq.convert_to_tensor([[ | ||
... 3.5 * cirq.X(qubit) - 2.2 * cirq.Y(qubit) | ||
... ]]) | ||
>>> my_num_samples = np.array([[100]]) | ||
>>> # This op can now be run with: | ||
>>> output = tfq.noise.sampled_expectation( | ||
... my_circuit_tensor, ['alpha'], my_values, my_paulis, my_num_samples) | ||
>>> output | ||
tf.Tensor([[0.71530885]], shape=(1, 1), dtype=float32) | ||
In order to make the op differentiable, a `tfq.differentiator` object is | ||
needed. see `tfq.differentiators` for more details. Below is a simple | ||
example of how to make the from the above code block differentiable: | ||
>>> diff = tfq.differentiators.ForwardDifference() | ||
>>> my_differentiable_op = diff.generate_differentiable_op( | ||
... sampled_op=tfq.noise.sampled_expectation | ||
... ) | ||
Args: | ||
programs: `tf.Tensor` of strings with shape [batch_size] containing | ||
the string representations of the circuits to be executed. | ||
symbol_names: `tf.Tensor` of strings with shape [n_params], which | ||
is used to specify the order in which the values in | ||
`symbol_values` should be placed inside of the circuits in | ||
`programs`. | ||
symbol_values: `tf.Tensor` of real numbers with shape | ||
[batch_size, n_params] specifying parameter values to resolve | ||
into the circuits specificed by programs, following the ordering | ||
dictated by `symbol_names`. | ||
pauli_sums: `tf.Tensor` of strings with shape [batch_size, n_ops] | ||
containing the string representation of the operators that will | ||
be used on all of the circuits in the expectation calculations. | ||
num_samples: `tf.Tensor` with `num_samples[i][j]` is equal to the | ||
number of times `programs[i]` will be simulated to estimate | ||
`pauli_sums[i][j]`. Therefore, `num_samples` must have the same | ||
shape as `pauli_sums`. Note: internally this quantity can get | ||
rounded up to the nearest multiple of the number of available | ||
threads to TensorFlow. For best performance ensure that the | ||
quantities in `num_samples` are a multiple of the number of | ||
available threads. | ||
Returns: | ||
`tf.Tensor` with shape [batch_size, n_ops] that holds the | ||
expectation value for each circuit with each op applied to it | ||
(after resolving the corresponding parameters in). | ||
""" | ||
return NOISY_OP_MODULE.tfq_noisy_sampled_expectation( | ||
programs, symbol_names, tf.cast(symbol_values, tf.float32), pauli_sums, | ||
tf.cast(num_samples, dtype=tf.int32)) |
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