LinearFunction¶

class LinearFunction(linear, validate_input=False)[소스]¶

기반 클래스: Gate

A linear reversible circuit on n qubits.

Internally, a linear function acting on n qubits is represented as a n x n matrix of 0s and 1s in numpy array format.

A linear function can be synthesized into CX and SWAP gates using the Patel–Markov–Hayes algorithm, as implemented in cnot_synth() based on reference [1].

For efficiency, the internal n x n matrix is stored in the format expected by cnot_synth, which is the big-endian (and not the little-endian) bit-ordering convention.

Example: the circuit

q_0: ──■──
     ┌─┴─┐
q_1: ┤ X ├
     └───┘
q_2: ─────

is represented by a 3x3 linear matrix

\[\begin{split}\begin{pmatrix} 1 & 0 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix}\end{split}\]

References:

[1] Ketan N. Patel, Igor L. Markov, and John P. Hayes, Optimal synthesis of linear reversible circuits, Quantum Inf. Comput. 8(3) (2008). Online at umich.edu.

Create a new linear function.

매개변수

linear (list[list] or ndarray[bool] or QuantumCircuit) – either an n x n matrix, describing the linear function, or a quantum circuit composed of linear gates only (currently supported gates are CX and SWAP).
validate_input (bool | None) – if True, performs more expensive input validation checks, such as checking that a given n x n matrix is invertible.

예외 발생

CircuitError – if the input is invalid: either a matrix is non {square, invertible}, or a quantum circuit contains non-linear gates.

Methods Defined Here

`is_permutation`	Returns whether this linear function is a permutation, that is whether every row and every column of the n x n matrix has exactly one 1.
`permutation_pattern`	This method first checks if a linear function is a permutation and raises a qiskit.circuit.exceptions.CircuitError if not.
`synthesize`	Synthesizes the linear function into a quantum circuit.
`validate_parameter`	Parameter validation

Attributes

condition_bits¶: Get Clbits in condition.

decompositions¶: Get the decompositions of the instruction from the SessionEquivalenceLibrary.

definition¶: Return definition in terms of other basic gates.

duration¶: Get the duration.

label¶: Return instruction label

linear¶: Returns the n x n matrix representing this linear function

name¶: Return the name.

num_clbits¶: Return the number of clbits.

num_qubits¶: Return the number of qubits.

original_circuit¶: Returns the original circuit used to construct this linear function (including None, when the linear function is not constructed from a circuit).

params¶: return instruction params.

unit¶: Get the time unit of duration.