qiskit.synthesis.synth_permutation_depth_lnn_kms

synth_permutation_depth_lnn_kms(pattern)

Synthesize a permutation circuit for a linear nearest-neighbor architecture using the Kutin, Moulton, Smithline method.

This is the permutation synthesis algorithm from https://arxiv.org/abs/quant-ph/0701194, Chapter 6. It synthesizes any permutation of n qubits over linear nearest-neighbor architecture using SWAP gates with depth at most n and size at most n(n-1)/2 (where both depth and size are measured with respect to SWAPs).

Parameters

pattern (Union[list[int], np.ndarray]) – permutation pattern, describing which qubits occupy the positions 0, 1, 2, etc. after applying the permutation. That is, pattern[k] = m when the permutation maps qubit m to position k. As an example, the pattern [2, 4, 3, 0, 1] means that qubit 2 goes to position 0, qubit 4 goes to position 1, etc.

Returns

the synthesized quantum circuit.

Return type

QuantumCircuit