C1Register

class samplomatic.virtual_registers.C1Register(virtual_gates: ndarray)

Bases: FiniteGroupRegister

Virtual register of C1 gates.

Here, we use an integer representation constructed from flattening the six cosets of the Pauli subgroup and the subgroup itself. Concretely, a value $c$ corresponds to the unitary $G^i H^j P(k)$ where $k = c % 4, j = c // 4 % 2, i = c // 8 % 3$ and $G = HS$ .

Attributes Summary

Column 1	Column 2
`CONVERTABLE_TYPES`	Valid arguments for `convert_to()`.
`GATE_SHAPE`	The array shape of any single virtual gate.
`SUBSYSTEM_SIZE`	The number of qubits each virtual gate acts on.
`TYPE`	The group name in 1-1 correspondence with this virtual gate type.
`inverse_table`	The lookup table for the inverse.
`lookup_table`	The lookup table for the group operation.

Methods Summary

Column 1	Column 2
`convert_to`(register_type)	Convert this register type to some other type, if possible.
`from_tableau`(tableaus)	Return a new register from an array of tableaus.
`identity`(num_subsystems, num_samples)	Instantiate a new register of identity virtual gates.
`to_tableau`()	Return an array of tableaus with the same shape as this.

Attributes Documentation

CONVERTABLE_TYPES

Type: frozenset[VirtualType]

Default value: frozenset({VirtualType.C1, VirtualType.U2})

Valid arguments for convert_to().

GATE_SHAPE

Type: tuple[int, ...]

Default value: ()

The array shape of any single virtual gate.

SUBSYSTEM_SIZE

Type: int

Default value: 1

The number of qubits each virtual gate acts on.

TYPE

Type: VirtualType

Default value: 'c1'

The group name in 1-1 correspondence with this virtual gate type.

inverse_table

lookup_table

Methods Documentation

convert_to

convert_to(register_type)

GitHub

Convert this register type to some other type, if possible.

Parameters

register_type – The type of register to convert to.

Returns

A new register of the specified output type, or this instance if its type is register_type.

Raises

VirtualGateError – If this type cannot be converted to the specified type.

from_tableau

GitHub

Return a new register from an array of tableaus.

Parameters

tableaus – The tableaus corresponding the registers.

Returns

A virtual register in the enumerated representation.

identity

classmethod identity(num_subsystems, num_samples)

GitHub

Instantiate a new register of identity virtual gates.

to_tableau

to_tableau() → ndarray

GitHub

Return an array of tableaus with the same shape as this.

Returns

An array of tableaus.

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