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crates/accelerate/src/synthesis/linear_phase/cz_depth_lnn.rs
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// This code is part of Qiskit. | ||
// | ||
// (C) Copyright IBM 2024 | ||
// | ||
// This code is licensed under the Apache License, Version 2.0. You may | ||
// obtain a copy of this license in the LICENSE.txt file in the root directory | ||
// of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. | ||
// | ||
// Any modifications or derivative works of this code must retain this | ||
// copyright notice, and modified files need to carry a notice indicating | ||
// that they have been altered from the originals. | ||
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use std::iter::once; | ||
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use hashbrown::HashMap; | ||
use itertools::Itertools; | ||
use ndarray::{Array1, ArrayView2}; | ||
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use qiskit_circuit::{ | ||
operations::{Param, StandardGate}, | ||
Qubit, | ||
}; | ||
use smallvec::{smallvec, SmallVec}; | ||
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use crate::synthesis::permutation::{_append_cx_stage1, _append_cx_stage2}; | ||
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// A sequence of Lnn gates | ||
// Represents the return type for Lnn Synthesis algorithms | ||
pub(crate) type LnnGatesVec = Vec<(StandardGate, SmallVec<[Param; 3]>, SmallVec<[Qubit; 2]>)>; | ||
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/// A pattern denoted by Pj in [1] for odd number of qubits: | ||
/// [n-2, n-4, n-4, ..., 3, 3, 1, 1, 0, 0, 2, 2, ..., n-3, n-3] | ||
fn _odd_pattern1(n: usize) -> Vec<usize> { | ||
once(n - 2) | ||
.chain((0..((n - 3) / 2)).flat_map(|i| [(n - 2 * i - 4); 2])) | ||
.chain((0..((n - 1) / 2)).flat_map(|i| [2 * i; 2])) | ||
.collect() | ||
} | ||
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/// A pattern denoted by Pk in [1] for odd number of qubits: | ||
/// [2, 2, 4, 4, ..., n-1, n-1, n-2, n-2, n-4, n-4, ..., 5, 5, 3, 3, 1] | ||
fn _odd_pattern2(n: usize) -> Vec<usize> { | ||
(0..((n - 1) / 2)) | ||
.flat_map(|i| [(2 * i + 2); 2]) | ||
.chain((0..((n - 3) / 2)).flat_map(|i| [n - 2 * i - 2; 2])) | ||
.chain(once(1)) | ||
.collect() | ||
} | ||
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/// A pattern denoted by Pj in [1] for even number of qubits: | ||
/// [n-1, n-3, n-3, n-5, n-5, ..., 1, 1, 0, 0, 2, 2, ..., n-4, n-4, n-2] | ||
fn _even_pattern1(n: usize) -> Vec<usize> { | ||
once(n - 1) | ||
.chain((0..((n - 2) / 2)).flat_map(|i| [n - 2 * i - 3; 2])) | ||
.chain((0..((n - 2) / 2)).flat_map(|i| [2 * i; 2])) | ||
.chain(once(n - 2)) | ||
.collect() | ||
} | ||
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/// A pattern denoted by Pk in [1] for even number of qubits: | ||
/// [2, 2, 4, 4, ..., n-2, n-2, n-1, n-1, ..., 3, 3, 1, 1] | ||
fn _even_pattern2(n: usize) -> Vec<usize> { | ||
(0..((n - 2) / 2)) | ||
.flat_map(|i| [2 * (i + 1); 2]) | ||
.chain((0..(n / 2)).flat_map(|i| [(n - 2 * i - 1); 2])) | ||
.collect() | ||
} | ||
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/// Creating the patterns for the phase layers. | ||
fn _create_patterns(n: usize) -> HashMap<(usize, usize), (usize, usize)> { | ||
let (pat1, pat2) = if n % 2 == 0 { | ||
(_even_pattern1(n), _even_pattern2(n)) | ||
} else { | ||
(_odd_pattern1(n), _odd_pattern2(n)) | ||
}; | ||
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let ind = if n % 2 == 0 { | ||
(2 * n - 4) / 2 | ||
} else { | ||
(2 * n - 4) / 2 - 1 | ||
}; | ||
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HashMap::from_iter((0..n).map(|i| ((0, i), (i, i))).chain( | ||
(0..(n / 2)).cartesian_product(0..n).map(|(layer, i)| { | ||
( | ||
(layer + 1, i), | ||
(pat1[ind - (2 * layer) + i], pat2[(2 * layer) + i]), | ||
) | ||
}), | ||
)) | ||
} | ||
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/// Appends correct phase gate during CZ synthesis | ||
fn _append_phase_gate(pat_val: usize, gates: &mut LnnGatesVec, qubit: usize) { | ||
// Add phase gates: s, sdg or z | ||
let gate_id = pat_val % 4; | ||
if gate_id != 0 { | ||
let gate = match gate_id { | ||
1 => StandardGate::SdgGate, | ||
2 => StandardGate::ZGate, | ||
3 => StandardGate::SGate, | ||
_ => unreachable!(), // unreachable as we have modulo 4 | ||
}; | ||
gates.push((gate, smallvec![], smallvec![Qubit(qubit as u32)])); | ||
} | ||
} | ||
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/// Synthesis of a CZ circuit for linear nearest neighbor (LNN) connectivity, | ||
/// based on Maslov and Roetteler. | ||
pub(super) fn synth_cz_depth_line_mr_inner(matrix: ArrayView2<bool>) -> (usize, LnnGatesVec) { | ||
let num_qubits = matrix.raw_dim()[0]; | ||
let pats = _create_patterns(num_qubits); | ||
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// s_gates[i] = 0, 1, 2 or 3 for a gate id, sdg, z or s on qubit i respectively | ||
let mut s_gates = Array1::<usize>::zeros(num_qubits); | ||
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let mut patlist: Vec<(usize, usize)> = Vec::new(); | ||
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let mut gates = LnnGatesVec::new(); | ||
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for i in 0..num_qubits { | ||
for j in (i + 1)..num_qubits { | ||
if matrix[[i, j]] { | ||
// CZ(i,j) gate | ||
s_gates[[i]] += 2; // qc.z[i] | ||
s_gates[[j]] += 2; // qc.z[j] | ||
patlist.push((i, j - 1)); | ||
patlist.push((i, j)); | ||
patlist.push((i + 1, j - 1)); | ||
patlist.push((i + 1, j)); | ||
} | ||
} | ||
} | ||
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for i in 0..((num_qubits + 1) / 2) { | ||
for j in 0..num_qubits { | ||
let pat_val = pats[&(i, j)]; | ||
if patlist.contains(&pat_val) { | ||
// patcnt should be 0 or 1, which checks if a Sdg gate should be added | ||
let patcnt = patlist.iter().filter(|val| **val == pat_val).count(); | ||
s_gates[[j]] += patcnt; // qc.sdg[j] | ||
} | ||
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_append_phase_gate(s_gates[[j]], &mut gates, j) | ||
} | ||
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_append_cx_stage1(&mut gates, num_qubits); | ||
_append_cx_stage2(&mut gates, num_qubits); | ||
s_gates = Array1::<usize>::zeros(num_qubits); | ||
} | ||
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if num_qubits % 2 == 0 { | ||
let i = num_qubits / 2; | ||
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for j in 0..num_qubits { | ||
let pat_val = pats[&(i, j)]; | ||
if patlist.contains(&pat_val) && pat_val.0 != pat_val.1 { | ||
// patcnt should be 0 or 1, which checks if a Sdg gate should be added | ||
let patcnt = patlist.iter().filter(|val| **val == pat_val).count(); | ||
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s_gates[[j]] += patcnt; // qc.sdg[j] | ||
} | ||
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_append_phase_gate(s_gates[[j]], &mut gates, j) | ||
} | ||
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_append_cx_stage1(&mut gates, num_qubits); | ||
} | ||
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(num_qubits, gates) | ||
} |
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// This code is part of Qiskit. | ||
// | ||
// (C) Copyright IBM 2024 | ||
// | ||
// This code is licensed under the Apache License, Version 2.0. You may | ||
// obtain a copy of this license in the LICENSE.txt file in the root directory | ||
// of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. | ||
// | ||
// Any modifications or derivative works of this code must retain this | ||
// copyright notice, and modified files need to carry a notice indicating | ||
// that they have been altered from the originals. | ||
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use numpy::PyReadonlyArray2; | ||
use pyo3::{ | ||
prelude::*, | ||
pyfunction, | ||
types::{PyModule, PyModuleMethods}, | ||
wrap_pyfunction, Bound, PyResult, | ||
}; | ||
use qiskit_circuit::{circuit_data::CircuitData, operations::Param}; | ||
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pub(crate) mod cz_depth_lnn; | ||
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/// Synthesis of a CZ circuit for linear nearest neighbor (LNN) connectivity, | ||
/// based on Maslov and Roetteler. | ||
/// | ||
/// Note that this method *reverts* the order of qubits in the circuit, | ||
/// and returns a circuit containing :class:`.CXGate`\s and phase gates | ||
/// (:class:`.SGate`, :class:`.SdgGate` or :class:`.ZGate`). | ||
/// | ||
/// References: | ||
/// 1. Dmitri Maslov, Martin Roetteler, | ||
/// *Shorter stabilizer circuits via Bruhat decomposition and quantum circuit transformations*, | ||
/// `arXiv:1705.09176 <https://arxiv.org/abs/1705.09176>`_. | ||
#[pyfunction] | ||
#[pyo3(signature = (mat))] | ||
fn synth_cz_depth_line_mr(py: Python, mat: PyReadonlyArray2<bool>) -> PyResult<CircuitData> { | ||
let view = mat.as_array(); | ||
let (num_qubits, lnn_gates) = cz_depth_lnn::synth_cz_depth_line_mr_inner(view); | ||
CircuitData::from_standard_gates(py, num_qubits as u32, lnn_gates, Param::Float(0.0)) | ||
} | ||
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pub fn linear_phase(m: &Bound<PyModule>) -> PyResult<()> { | ||
m.add_wrapped(wrap_pyfunction!(synth_cz_depth_line_mr))?; | ||
Ok(()) | ||
} |
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