cirq.ops.Pauli

Represents the Pauli gates.

Inherits From: Gate

View aliases

Main aliases

`cirq.Pauli`, `cirq.ops.pauli_gates.Pauli`

cirq.ops.Pauli(
    index: int,
    name: str
) -> None

This is an abstract class with no public subclasses. The only instances of private subclasses are the X, Y, or Z Pauli gates defined below.

Methods

`by_index`

View source

@staticmethod
by_index(
    index: int
) -> "Pauli"

`by_relative_index`

View source

@staticmethod
by_relative_index(
    p: "Pauli",
    relative_index: int
) -> "Pauli"

`controlled`

View source

controlled(
    num_controls: int = None,
    control_values: Optional[Sequence[Union[int, Collection[int]]]] = None,
    control_qid_shape: Optional[Tuple[int, ...]] = None
) -> "Gate"

Returns a controlled version of this gate. If no arguments are specified, defaults to a single qubit control.

num_controls: Total number of control qubits. control_values: For which control qubit values to apply the sub gate. A sequence of length num_controls where each entry is an integer (or set of integers) corresponding to the qubit value (or set of possible values) where that control is enabled. When all controls are enabled, the sub gate is applied. If unspecified, control values default to 1. control_qid_shape: The qid shape of the controls. A tuple of the expected dimension of each control qid. Defaults to (2,) * num_controls. Specify this argument when using qudits.

`num_qubits`

View source

num_qubits()

The number of qubits this gate acts on.

`on`

View source

on(
    *qubits
) -> "SingleQubitPauliStringGateOperation"

Returns an application of this gate to the given qubits.

Args
`*qubits`	The collection of qubits to potentially apply the gate to.

`phased_pauli_product`

View source

phased_pauli_product(
    other: Union['cirq.Pauli', 'identity.IdentityGate']
) -> Tuple[complex, Union['cirq.Pauli', 'identity.IdentityGate']]

`relative_index`

View source

relative_index(
    second: "Pauli"
) -> int

Relative index of self w.r.t. second in the (X, Y, Z) cycle.

`third`

View source

third(
    second: "Pauli"
) -> "Pauli"

`validate_args`

View source

validate_args(
    qubits: Sequence['cirq.Qid']
) -> None

Checks if this gate can be applied to the given qubits.

By default checks that:

inputs are of type Qid
len(qubits) == num_qubits()
qubit_i.dimension == qid_shape[i] for all qubits

Child classes can override. The child implementation should call super().validate_args(qubits) then do custom checks.

Args
`qubits`	The sequence of qubits to potentially apply the gate to.

Throws:

ValueError: The gate can't be applied to the qubits.

`with_probability`

View source

with_probability(
    probability: "cirq.TParamVal"
) -> "cirq.Gate"

`wrap_in_linear_combination`

View source

wrap_in_linear_combination(
    coefficient: Union[complex, float, int] = 1
) -> "cirq.LinearCombinationOfGates"

`add`

View source

__add__(
    other: Union['Gate', 'cirq.LinearCombinationOfGates']
) -> "cirq.LinearCombinationOfGates"

`call`

View source

__call__(
    *args, **kwargs
)

Call self as a function.

`gt`

View source

__gt__(
    other
)

Return self>value.

`lt`

View source

__lt__(
    other
)

Return self<value.

`mul`

View source

__mul__(
    other: Union[complex, float, int]
) -> "cirq.LinearCombinationOfGates"

`neg`

View source

__neg__() -> "cirq.LinearCombinationOfGates"

`pow`

View source

__pow__(
    power
)

`rmul`

View source

__rmul__(
    other: Union[complex, float, int]
) -> "cirq.LinearCombinationOfGates"

`sub`

View source

__sub__(
    other: Union['Gate', 'cirq.LinearCombinationOfGates']
) -> "cirq.LinearCombinationOfGates"

`truediv`

View source

__truediv__(
    other: Union[complex, float, int]
) -> "cirq.LinearCombinationOfGates"