From 49a52184f27b6b4b47fd6c5814354d5b9f507d9b Mon Sep 17 00:00:00 2001 From: Pieter Eendebak Date: Tue, 26 Sep 2023 02:04:13 +0200 Subject: [PATCH] Improve performance of multiplication of cliffords (#1275) MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit ### Summary The circuit generation for 2-qubit RB experiments is slow due to the Clifford multiplication. Internally Clifford numbers are converted to Qiskit circuits, decomposed and then multiplied. We can avoid the conversion to circuits and indexing in a sparse table by creating a dense version of `_CLIFFORD_COMPOSE_2Q`. ### Details and comments Bechmark: ``` import time import qiskit from qiskit_experiments.library import InterleavedRB gate=qiskit.circuit.library.CXGate() rb=InterleavedRB(gate, physical_qubits= (0,1),lengths= [1,10,50,100,200, 1000], num_samples= 100) t0=time.time() c=rb.circuits() dt=time.time()-t0 print(dt) ``` improved from 21.2 to 7.9 seconds. Micro benchmark ``` from qiskit_experiments.library.randomized_benchmarking.clifford_utils import compose_2q %timeit compose_2q(15, 10412) #main: 56.2 µs ± 11.4 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each) #PR: 3.58 µs ± 362 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each) ``` ### PR checklist (delete when all criteria are met) - [x] I have read the contributing guide `CONTRIBUTING.md`. - [x] I have added the tests to cover my changes. (no changes to public methods) - [x] I have updated the documentation accordingly. (no changes to public methods) - [x] I have added a release note file using `reno` if this change needs to be documented in the release notes. (no release note required) --- .../randomized_benchmarking/clifford_utils.py | 46 ++++++++++-------- .../data/clifford_compose_1q.npz | Bin 896 -> 809 bytes .../clifford_compose_2q_dense_selected.npz | Bin 0 -> 341802 bytes .../data/clifford_compose_2q_sparse.npz | Bin 434028 -> 0 bytes .../data/clifford_inverse_1q.npz | Bin 268 -> 262 bytes .../data/clifford_inverse_2q.npz | Bin 19116 -> 17677 bytes .../data/generate_clifford_data.py | 33 ++++++++++++- .../test_clifford_utils.py | 26 ++++++++++ 8 files changed, 84 insertions(+), 21 deletions(-) create mode 100644 qiskit_experiments/library/randomized_benchmarking/data/clifford_compose_2q_dense_selected.npz delete mode 100644 qiskit_experiments/library/randomized_benchmarking/data/clifford_compose_2q_sparse.npz diff --git a/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py b/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py index d7584be28b..f6ab757b5a 100644 --- a/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py +++ b/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py @@ -17,10 +17,9 @@ import os from functools import lru_cache from numbers import Integral -from typing import Optional, Union, Tuple, Sequence +from typing import Optional, Union, Tuple, Sequence, Iterable import numpy as np -import scipy.sparse from numpy.random import Generator, default_rng from qiskit.circuit import CircuitInstruction, Qubit @@ -36,11 +35,13 @@ _CLIFFORD_COMPOSE_1Q = np.load(f"{_DATA_FOLDER}/clifford_compose_1q.npz")["table"] _CLIFFORD_INVERSE_1Q = np.load(f"{_DATA_FOLDER}/clifford_inverse_1q.npz")["table"] -_CLIFFORD_COMPOSE_2Q = scipy.sparse.lil_matrix( - scipy.sparse.load_npz(f"{_DATA_FOLDER}/clifford_compose_2q_sparse.npz") -) _CLIFFORD_INVERSE_2Q = np.load(f"{_DATA_FOLDER}/clifford_inverse_2q.npz")["table"] - +_clifford_compose_2q_data = np.load(f"{_DATA_FOLDER}/clifford_compose_2q_dense_selected.npz") +_CLIFFORD_COMPOSE_2Q_DENSE = _clifford_compose_2q_data["table"] +# valid indices for the columns of the _CLIFFORD_COMPOSE_2Q_DENSE table +_valid_sparse_indices = _clifford_compose_2q_data["valid_sparse_indices"] +# map a clifford number to the index of _CLIFFORD_COMPOSE_2Q_DENSE +_clifford_num_to_dense_index = {idx: ii for ii, idx in enumerate(_valid_sparse_indices)} # Transpilation utilities def _transpile_clifford_circuit( @@ -422,8 +423,9 @@ def compose_2q(lhs: Integral, rhs: Integral) -> Integral: """Return the composition of 2-qubit clifford integers.""" num = lhs for layer, idx in enumerate(_layer_indices_from_num(rhs)): - circ = _CLIFFORD_LAYER[layer][idx] - num = _compose_num_with_circuit_2q(num, circ) + gate_numbers = _CLIFFORD_LAYER_NUMS[layer][idx] + for n in gate_numbers: + num = _CLIFFORD_COMPOSE_2Q_DENSE[num, _clifford_num_to_dense_index[n]] return num @@ -434,17 +436,9 @@ def inverse_2q(num: Integral) -> Integral: def num_from_2q_circuit(qc: QuantumCircuit) -> Integral: """Convert a given 2-qubit Clifford circuit to the corresponding integer.""" - return _compose_num_with_circuit_2q(0, qc) - - -def _compose_num_with_circuit_2q(num: Integral, qc: QuantumCircuit) -> Integral: - """Compose a number that represents a Clifford, with a Clifford circuit, and return the - number that represents the resulting Clifford.""" - lhs = num - for inst in qc: - qubits = tuple(qc.find_bit(q).index for q in inst.qubits) - rhs = _num_from_2q_gate(op=inst.operation, qubits=qubits) - lhs = _CLIFFORD_COMPOSE_2Q[lhs, rhs] + lhs = 0 + for rhs in _clifford_2q_nums_from_2q_circuit(qc): + lhs = _CLIFFORD_COMPOSE_2Q_DENSE[lhs, _clifford_num_to_dense_index[rhs]] return lhs @@ -570,6 +564,20 @@ def _create_cliff_2q_layer_2(): _NUM_LAYER_2 = 16 +def _clifford_2q_nums_from_2q_circuit(qc: QuantumCircuit) -> Iterable[Integral]: + """Yield Clifford numbers that represents the 2Q Clifford circuit.""" + for inst in qc: + qubits = tuple(qc.find_bit(q).index for q in inst.qubits) + yield 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b/qiskit_experiments/library/randomized_benchmarking/data/generate_clifford_data.py index 8da50467cb..5970e190b6 100644 --- a/qiskit_experiments/library/randomized_benchmarking/data/generate_clifford_data.py +++ b/qiskit_experiments/library/randomized_benchmarking/data/generate_clifford_data.py @@ -109,7 +109,29 @@ def gen_clifford_compose_2q_gate(): for rhs in _CLIFF_SINGLE_GATE_MAP_2Q.values(): composed = cliff_lhs.compose(_CLIFF_2Q[rhs]) products[lhs, rhs] = _TO_INT_2Q[_hash_cliff(composed)] - return products.tocsr() + return products.tocsc() + + +def gen_clifford_compose_2q_dense() -> tuple[np.typing.NDArray[int], list[int]]: + """Generate a dense multiplication table for 2-qubit Clifford numbers + + The multiplication table is generated from the sparse table generated by :meth:`gen_clifford_compose_2q_gate`. + Each column contains the full set of Clifford numbers . Each row contains a subset of Clifford multiplications + corresponding to the values of entries of `_CLIFF_SINGLE_GATE_MAP_2Q`. + + Returns: + Tuple with a dense multiplication table and the valid indices for the columns + """ + _CLIFFORD_COMPOSE_2Q = gen_clifford_compose_2q_gate() + number_of_cliffords = _CLIFFORD_COMPOSE_2Q.shape[0] + valid_sparse_indices = [ + num + for num in range(number_of_cliffords) + if _CLIFFORD_COMPOSE_2Q[:, num].nnz == number_of_cliffords - 1 + ] + _CLIFFORD_COMPOSE_2Q_DENSE = _CLIFFORD_COMPOSE_2Q[:, valid_sparse_indices].toarray() + + return _CLIFFORD_COMPOSE_2Q_DENSE, valid_sparse_indices _GATE_LIST_1Q = [ @@ -184,4 +206,11 @@ def gen_cliff_single_2q_gate_map(): "_CLIFF_SINGLE_GATE_MAP_2Q must be generated by gen_cliff_single_2q_gate_map()" ) np.savez_compressed("clifford_inverse_2q.npz", table=gen_clifford_inverse_2q()) - scipy.sparse.save_npz("clifford_compose_2q_sparse.npz", gen_clifford_compose_2q_gate()) + + _CLIFFORD_COMPOSE_2Q_DENSE, valid_sparse_indices = gen_clifford_compose_2q_dense() + + np.savez_compressed( + "clifford_compose_2q_dense_selected.npz", + table=_CLIFFORD_COMPOSE_2Q_DENSE, + valid_sparse_indices=valid_sparse_indices, + ) diff --git a/test/library/randomized_benchmarking/test_clifford_utils.py b/test/library/randomized_benchmarking/test_clifford_utils.py index 000ed3c36c..ddc11c9b94 100644 --- a/test/library/randomized_benchmarking/test_clifford_utils.py +++ b/test/library/randomized_benchmarking/test_clifford_utils.py @@ -20,6 +20,7 @@ from numpy.random import default_rng from qiskit import QuantumCircuit +from qiskit.exceptions import QiskitError from qiskit.circuit.library import ( IGate, XGate, @@ -43,6 +44,7 @@ _num_from_layer_indices, _layer_indices_from_num, _CLIFFORD_LAYER, + _CLIFFORD_INVERSE_2Q, ) @@ -195,3 +197,27 @@ def test_num_from_layer(self): circ.compose(_CLIFFORD_LAYER[layer][idx], inplace=True) layered = Clifford(circ) self.assertEqual(standard, layered) + + def test_num_from_2q_circuit(self): + """Check conversion of circuits to integers with num_from_2q_circuit""" + qc = QuantumCircuit(2) + qc.h(0) + num = num_from_2q_circuit(qc) + self.assertEqual(num, 5760) + qc = QuantumCircuit(2) + qc.u(0, 0, np.pi, 0) + with self.assertRaises(QiskitError): + # raising an error is ok, num_from_2q_circuit does not support all 2-qubit gates + num_from_2q_circuit(qc) + + # regression test for using the dense multiplication table + qc = QuantumCircuit(2) + qc.cz(1, 0) + num = num_from_2q_circuit(qc) + self.assertEqual(num, 368) + + def test_clifford_inverse_table(self): + """Check correctness of the Clifford inversion table""" + for lhs, rhs in enumerate(_CLIFFORD_INVERSE_2Q): + c = compose_2q(lhs, rhs) + self.assertEqual(c, 0)