qiskit.synthesis.synth_clifford_layers¶
- synth_clifford_layers(cliff, cx_synth_func=<function _default_cx_synth_func>, cz_synth_func=<function _default_cz_synth_func>, cx_cz_synth_func=None, cz_func_reverse_qubits=False, validate=False)[소스]¶
Synthesis of a Clifford into layers, it provides a similar decomposition to the synthesis described in Lemma 8 of Bravyi and Maslov.
For example, a 5-qubit Clifford circuit is decomposed into the following layers:
┌─────┐┌─────┐┌────────┐┌─────┐┌─────┐┌─────┐┌─────┐┌────────┐ q_0: ┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├┤0 ├ │ ││ ││ ││ ││ ││ ││ ││ │ q_1: ┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├┤1 ├ │ ││ ││ ││ ││ ││ ││ ││ │ q_2: ┤2 S2 ├┤2 CZ ├┤2 CX_dg ├┤2 H2 ├┤2 S1 ├┤2 CZ ├┤2 H1 ├┤2 Pauli ├ │ ││ ││ ││ ││ ││ ││ ││ │ q_3: ┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├┤3 ├ │ ││ ││ ││ ││ ││ ││ ││ │ q_4: ┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├┤4 ├ └─────┘└─────┘└────────┘└─────┘└─────┘└─────┘└─────┘└────────┘This decomposition is for the default cz_synth_func and cx_synth_func functions, with other functions one may see slightly different decomposition.
- 매개변수
cliff (Clifford) – a clifford operator.
cx_synth_func (Callable) – a function to decompose the CX sub-circuit. It gets as input a boolean invertible matrix, and outputs a QuantumCircuit.
cz_synth_func (Callable) – a function to decompose the CZ sub-circuit. It gets as input a boolean symmetric matrix, and outputs a QuantumCircuit.
cx_cz_synth_func (Callable) – optional, a function to decompose both sub-circuits CZ and CX.
validate (Boolean) – if True, validates the synthesis process.
cz_func_reverse_qubits (Boolean) – True only if cz_synth_func is synth_cz_depth_line_mr, since this function returns a circuit that reverts the order of qubits.
- 반환
a circuit implementation of the Clifford.
- 반환 형식
- Reference:
S. Bravyi, D. Maslov, Hadamard-free circuits expose the structure of the Clifford group, arXiv:2003.09412 [quant-ph]