Z2Register
class samplomatic.virtual_registers.Z2Register(virtual_gates)
Bases: GroupRegister
Virtual register of elements of Z2, the cyclic group of order 2.
Z2 is a group that contains two elements, which can be represented by and . We define the group product as the bit-wise XOR operation, such that the cyclic properties and are satisfied.
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. |
Methods Summary
Column 1 | Column 2 |
|---|---|
convert_to(register_type) | Convert this register type to some other type, if possible. |
identity(num_subsystems, num_samples) | Instantiate a new register of identity virtual gates. |
inplace_multiply(other[, subsystem_idxs]) | Inplace-multiply each virtual gate with the corresponding element of other. |
invert() | Return a new virtual register that inverts each virtual gate. |
multiply(other[, subsystem_idxs]) | Multiply each virtual gate with the corresponding element of other. |
Attributes Documentation
CONVERTABLE_TYPES
Type: frozenset[VirtualType]
Default value: frozenset({VirtualType.PAULI, VirtualType.Z2})
Valid arguments for convert_to().
GATE_SHAPE
SUBSYSTEM_SIZE
TYPE
Type: VirtualType
Default value: 'z2'
The group name in 1-1 correspondence with this virtual gate type.
Methods Documentation
convert_to
convert_to(register_type)
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.
identity
classmethod identity(num_subsystems, num_samples)
Instantiate a new register of identity virtual gates.
inplace_multiply
inplace_multiply(other, subsystem_idxs: list[int] | slice = slice(None, None, None))
Inplace-multiply each virtual gate with the corresponding element of other.
Parameters
- other – Another virtual register of the same type.
- subsystem_idxs – The indices of the subsystems to multiply, in self.
Raises
VirtualGateError – When the shapes do not match.
invert
multiply
multiply(other, subsystem_idxs: list[int] | slice = slice(None, None, None))
Multiply each virtual gate with the corresponding element of other.
Parameters
- other – Another virtual register of the same type.
- subsystem_idxs – The indices of the subsystems to multiply, in self.
Returns
A new virtual register of the same type.
Raises
VirtualGateError – When the shapes do not match.