cirq.ops.SingleQubitCliffordGate

Any single qubit Clifford rotation.

Inherits From: SingleQubitGate, Gate

Methods

H

Any single qubit Clifford rotation.

I

Any single qubit Clifford rotation.

X

Any single qubit Clifford rotation.

X_nsqrt

Any single qubit Clifford rotation.

X_sqrt

Any single qubit Clifford rotation.

Y

Any single qubit Clifford rotation.

Y_nsqrt

Any single qubit Clifford rotation.

Y_sqrt

Any single qubit Clifford rotation.

Z

Any single qubit Clifford rotation.

Z_nsqrt

Any single qubit Clifford rotation.

Z_sqrt

Any single qubit Clifford rotation.

commutes_with_pauli

View source

commutes_with_single_qubit_gate

View source

Tests if the two circuits would be equivalent up to global phase: --self--gate-- and --gate--self--

controlled

View source

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.

decompose_rotation

View source

Returns ((first_rotation_axis, first_rotation_quarter_turns), ...)

This is a sequence of zero, one, or two rotations.

equivalent_gate_before

View source

Returns a SingleQubitCliffordGate such that the circuits --output--self-- and --self--gate-- are equivalent up to global phase.

from_double_map

View source

Returns a SingleQubitCliffordGate for the specified transform with a 90 or 180 degree rotation.

Either pauli_map_to or two of (x_to, y_to, z_to) may be specified.

Args
pauli_map_to A dictionary with two key value pairs describing two transforms.
x_to The transform from cirq.X
y_to The transform from cirq.Y
z_to The transform from cirq.Z

from_pauli

View source

from_quarter_turns

View source

from_single_map

View source

Returns a SingleQubitCliffordGate for the specified transform with a 90 or 180 degree rotation.

The arguments are exclusive, only one may be specified.

Args
pauli_map_to A dictionary with a single key value pair describing the transform.
x_to The transform from cirq.X
y_to The transform from cirq.Y
z_to The transform from cirq.Z

from_unitary

View source

Creates Clifford gate with given unitary (up to global phase).

Args
u 2x2 unitary matrix of a Clifford gate.

Returns
SingleQubitCliffordGate, whose matrix is equal to given matrix (up to global phase), or None if u is not a matrix of a single-qubit Clifford gate.

from_xz_map

View source

Returns a SingleQubitCliffordGate for the specified transforms. The Y transform is derived from the X and Z.

Args
x_to Which Pauli to transform X to and if it should negate.
z_to Which Pauli to transform Z to and if it should negate.

merged_with

View source

Returns a SingleQubitCliffordGate such that the circuits --output-- and --self--second-- are equivalent up to global phase.

num_qubits

View source

The number of qubits this gate acts on.

on

View source

Returns an application of this gate to the given qubits.

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

on_each

View source

Returns a list of operations applying the gate to all targets.

Args
*targets The qubits to apply this gate to. For single-qubit gates this can be provided as varargs or a combination of nested iterables. For multi-qubit gates this must be provided as an Iterable[Sequence[Qid]], where each sequence has num_qubits qubits.

Returns
Operations applying this gate to the target qubits.

Raises
ValueError if targets are not instances of Qid or Iterable[Qid]. ValueError if the gate qubit number is incompatible.

to_phased_xz_gate

View source

Convert this gate to a PhasedXZGate instance.

The rotation can be categorized by {axis} * {degree}:

* Identity: I
* {x, y, z} * {90, 180, 270}  --- {X, Y, Z} + 6 Quarter turn gates
* {+/-xy, +/-yz, +/-zx} * 180  --- 6 Hadamard-like gates
* {middle point of xyz in 4 Quadrant} * {120, 240} --- swapping axis

note 1 + 9 + 6 + 8 = 24 in total.

To associate with Clifford Tableau, it can also be grouped by 4:

* {I,X,Y,Z} is [[1 0], [0, 1]]
* {+/- X_sqrt, 2 Hadamard-like gates acting on the YZ plane} is [[1, 0], [1, 1]]
* {+/- Z_sqrt, 2 Hadamard-like gates acting on the XY plane} is [[1, 1], [0, 1]]
* {+/- Y_sqrt, 2 Hadamard-like gates acting on the XZ plane} is [[0, 1], [1, 0]]
* {middle point of xyz in 4 Quadrant} * 120 is [[0, 1], [1, 1]]
* {middle point of xyz in 4 Quadrant} * 240 is [[1, 1], [1, 0]]

transform

View source

validate_args

View source

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

wrap_in_linear_combination

View source

__add__

View source

__call__

View source

Call self as a function.

__eq__

View source

__mul__

View source

__ne__

View source

__neg__

View source

__pow__

View source

__rmul__

View source

__sub__

View source

__truediv__

View source