cirq.StabilizerStateChForm

A representation of stabilizer states using the CH form,

Inherits From: StabilizerState

\$$|\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

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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

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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

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Apply a global phase to the state.

Args
coefficient The global phase to apply.

apply_h

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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

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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

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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

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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.

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inner_product_of_state_and_x

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

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project_Z

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Applies a Z projector on the q'th qubit.

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

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update_sum

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Implements the transformation (Proposition 4 in Bravyi et al)

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

__eq__

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