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mindquantum.core.gates.BitPhaseFlipChannel

class mindquantum.core.gates.BitPhaseFlipChannel(p: float, **kwargs)

A bit&phase flip channel.

Bit phase flip channel express error that randomly flip both the state and phase of qubit (applies $Y$ gate) with probability $P$, or do noting (applies $I$ gate) with probability $1-P$.

Bit phase flip channel applies noise as:

$$ϵ(\rho )=(1-P)\rho +PY\rho Y$$

where $\rho$ is quantum state as density matrix type; $P$ is the probability of applying an additional $Y$ gate.

Parameters

p (int, float) – probability of occurred error.

Examples

>>> from mindquantum.core.gates import BitPhaseFlipChannel
>>> from mindquantum.core.circuit import Circuit
>>> circ = Circuit()
>>> circ += BitPhaseFlipChannel(0.02).on(0)
>>> print(circ)
      ╔══════════════╗
q0: ──╢ BPFC(p=1/50) ╟───
      ╚══════════════╝

matrix()

Kraus operator of the quantum channel.

Returns

list, contains all Kraus operators of this quantum channel.