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mindquantum.core.gates.PauliChannel

class mindquantum.core.gates.PauliChannel(px: float, py: float, pz: float, **kwargs)

A pauli channel.

Pauli channel express error that randomly applies an additional $X$, $Y$ or $Z$ gate on qubits with different probabilities $P_x$, $P_y$ and $P_z$, or do noting (applies $I$ gate) with probability $1-P_x-P_y-P_z$.

Pauli channel applies noise as:

$$ϵ(\rho )=(1-P_x-P_y-P_z)\rho +P_{x}X\rho X+P_{y}Y\rho Y+P_{z}Z\rho Z$$

where $\rho$ is quantum state as density matrix type; $P_x$, $P_y$ and $P_z$ is the probability of applying an additional $X$, $Y$ and $Z$ gate.

Parameters

• px (int, float) – probability of applying X gate.

• py (int, float) – probability of applying Y gate.

• pz (int, float) – probability of applying Z gate.

Examples

>>> from mindquantum.core.gates import PauliChannel
>>> from mindquantum.core.circuit import Circuit
>>> circ = Circuit()
>>> circ += PauliChannel(0.8, 0.1, 0.1).on(0)
>>> circ.measure_all()
>>> print(circ)
      ╔══════════════════════════════╗ ┍━━━━━━┑
q0: ──╢ PC(px=4/5, py=1/10, pz=1/10) ╟─┤ M q0 ├───
      ╚══════════════════════════════╝ ┕━━━━━━┙
>>> from mindquantum.simulator import Simulator
>>> sim = Simulator('mqvector', 1)
>>> sim.sampling(circ, shots=1000, seed=42)
shots: 1000
Keys: q0│0.00     0.2         0.4         0.6         0.8         1.0
────────┼───────────┴───────────┴───────────┴───────────┴───────────┴
       0│▒▒▒▒▒▒▒
        │
       1│▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
        │
{'0': 101, '1': 899}

define_projectq_gate()

Define the corresponded projectq gate.

get_cpp_obj()

Get underlying C++ object.

matrix()

Kraus operator of the quantum channel.

Returns

list, contains all Kraus operators of this quantum channel.