workbench_algorithms.experimental.subroutines.mps_prep.holder_isometry_synthesis

Functions for MPS preparation via reflections.

HouseholderUnitarySynthesis

HouseholderUnitarySynthesis(
    inverse_state_prep=None,
    merge_qroms: bool = False,
    **kwargs,
)

Bases: Qubrick

Qubrick synthesizing an isometry using the Householder-based decomposition.

Parameters:

Name	Type	Description	Default
`inverse_state_prep`	`Qubrick`	state preperation protocol to utilise.	`None`
`merge_qroms`	`Bool`	choice to utilise QROM merging between two consecutive column loading on same physical site	`False`
`**kwargs`	`dict[str, Any]`	Other arguments to pass to the init.	`{}`

Note

Ref: see PRXQuantum.5.040339
Currently the QRE is inaccurate due to compute of the daggered LKS state prep acting oddly.
QROM merging will only be accurate for sufficient b_of_p in rotation angles.

compute(
    virtual_reg, physical_reg, data, ctrl: Qubits | int = 0
)

Compute function for the Householder-based synthesis of a given isometry matrix isometry.

Parameters:

Name	Type	Description	Default
`virtual_reg`	`Qubits`	Virtual reg used in synthesis. Must have dimension at least `isometry.shape[1]`.	required
`physical_reg`	`Qubits`	Physical reg used in synthesis.	required
`data`	`HouseHolderUnitarySynthesisData`	Dataclass containing unitary synthesis info, including: - isometry ([list, numpy]): The isometry matrix to be synthesized. - bits_of_precision (int): The bit-precision used in the state preparation subroutines. - physical_dimension (None, int): If `None`, the physical register dimension will be used. Must be specified if used in the context of an MPS with non-power of two physical dimension.	required
`ctrl`	`Qubits`	Control qubit.	`0`

HouseholderMPSLoading(unitary_synth_qbk=None, **kwargs)

Bases: Qubrick

Qubrick for loading the MPS on a quantum computer, based on HouseholderUnitarySynthesis.

compute(prep_reg, data, ctrl: Qubits | int = 0)

Compute circuit for loading an MPS.

Parameters:

Name	Type	Description	Default
`prep_reg`	`Qubits`	Register where we are to prepare the desired state.	required
`data`	`MPSPrepData`	Dataclass encoding the specification of the MPS.	required
`ctrl`	`Qubits`	Control qubit.	`0`

Note