cirq.StabilizerStateChForm

A representation of stabilizer states using the CH form,

Inherits From: StabilizerState

cirq.StabilizerStateChForm(
    num_qubits: int, initial_state: int = 0
) -> None

\\(|\psi> = \omega U_C U_H |s>\\)

This representation keeps track of overall phase.

Reference: https://arxiv.org/abs/1808.00128

num_qubits The number of qubits in the system.
initial_state The computational basis representation of the state as a big endian int.

Methods

apply_cx

View source

apply_cx(
    control_axis: int,
    target_axis: int,
    exponent: float = 1,
    global_shift: float = 0
)

Apply a CX operation to the state.

Args
control_axis The control axis of the operation.
target_axis The axis to which the operation should be applied.
exponent The exponent of the CX operation, must be an integer.
global_shift The global phase shift of the raw operation, prior to exponentiation. Typically the value in gate.global_shift.

Raises
ValueError If the exponent is not an integer.

apply_cz

View source

apply_cz(
    control_axis: int,
    target_axis: int,
    exponent: float = 1,
    global_shift: float = 0
)

Apply a CZ operation to the state.

Args
control_axis The control axis of the operation.
target_axis The axis to which the operation should be applied.
exponent The exponent of the CZ operation, must be an integer.
global_shift The global phase shift of the raw operation, prior to exponentiation. Typically the value in gate.global_shift.

Raises
ValueError If the exponent is not an integer.

apply_global_phase

View source

apply_global_phase(
    coefficient: value.Scalar
)

Apply a global phase to the state.

Args
coefficient The global phase to apply.

apply_h

View source

apply_h(
    axis: int, exponent: float = 1, global_shift: float = 0
)

Apply an H operation to the state.

Args
axis The axis to which the operation should be applied.
exponent The exponent of the H operation, must be an integer.
global_shift The global phase shift of the raw operation, prior to exponentiation. Typically the value in gate.global_shift.

Raises
ValueError If the exponent is not an integer.

apply_x

View source

apply_x(
    axis: int, exponent: float = 1, global_shift: float = 0
)

Apply an X operation to the state.

Args
axis The axis to which the operation should be applied.
exponent The exponent of the X operation, must be a half-integer.
global_shift The global phase shift of the raw operation, prior to exponentiation. Typically the value in gate.global_shift.

Raises
ValueError If the exponent is not half-integer.

apply_y

View source

apply_y(
    axis: int, exponent: float = 1, global_shift: float = 0
)

Apply an Y operation to the state.

Args
axis The axis to which the operation should be applied.
exponent The exponent of the Y operation, must be a half-integer.
global_shift The global phase shift of the raw operation, prior to exponentiation. Typically the value in gate.global_shift.

Raises
ValueError If the exponent is not half-integer.

apply_z

View source

apply_z(
    axis: int, exponent: float = 1, global_shift: float = 0
)

Apply a Z operation to the state.

Args
axis The axis to which the operation should be applied.
exponent The exponent of the Z operation, must be a half-integer.
global_shift The global phase shift of the raw operation, prior to exponentiation. Typically the value in gate.global_shift.

Raises
ValueError If the exponent is not half-integer.

copy

View source

copy() -> 'cirq.StabilizerStateChForm'

inner_product_of_state_and_x

View source

inner_product_of_state_and_x(
    x: int
) -> Union[float, complex]

Returns the amplitude of x'th element of the state vector, i.e.

kron

View source

kron(
    other: 'cirq.StabilizerStateChForm'
) -> 'cirq.StabilizerStateChForm'

project_Z

View source

project_Z(
    q, z
)

Applies a Z projector on the q'th qubit.

Returns: a normalized state with Z_q |psi> = z |psi>

reindex

View source

reindex(
    axes: Sequence[int]
) -> 'cirq.StabilizerStateChForm'

state_vector

View source

state_vector() -> np.ndarray

to_state_vector

View source

to_state_vector() -> np.ndarray

update_sum

View source

update_sum(
    t, u, delta=0, alpha=0
)

Implements the transformation (Proposition 4 in Bravyi et al)

i^alpha U_H (|t> + i^delta |u>) = omega W_C W_H |s'>

__eq__

View source

__eq__(
    other: _SupportsValueEquality
) -> bool