qat.ir.gates.gates_2q module

class CNOT(**data)

Bases: ControlGate2Q

Implements a CNOT with the control gate on :param:`qubit1` and target gate on :param:`qubit2`.

Matrix representation:

\[\begin{split}{\rm CNOT}_{c, t} = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 0 & 1 & 0 \end{bmatrix}\end{split}\]

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

inst: Literal['CNOT']
property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

class CPhase(**data)

Bases: ControlGate2Q

Implements the controlled-\(Phase\) gate.

Unlike the non-controlled gate, note that this is not equivalent to the \(CR_{z}(\theta)\) gate.

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

inst: Literal['CPhase']
property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

theta: Annotated[float]
class CRx(**data)

Bases: ControlGate2Q

Implements the controlled-\(R_{x}(\theta)\) gate.

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

inst: Literal['CRx']
property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

theta: Annotated[float]
class CRy(**data)

Bases: ControlGate2Q

Implements the controlled-\(R_{y}(\theta)\) gate.

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

inst: Literal['CRy']
property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

theta: Annotated[float]
class CRz(**data)

Bases: ControlGate2Q

Implements the controlled-\(R_{z}(\theta)\) gate.

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

inst: Literal['CRz']
property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

theta: Annotated[float]
CX

alias of CNOT

class ControlGate2Q(**data)

Bases: Gate2Q, ABC

Base class for controlled two-qubit gates. The convention is qubit1 is the control qubit and qubit is the target qubit. For some single qubit gate \(G\), the controlled gate is

\[CG = \ket{1}\bra{1} \otimes G + \ket{0}\bra{0} \otimes I\]

Will eventually be replaced by a mechanism for creating control gates from standard gates. Used now to mark gates as control gates (which will be considered in future optimisation passes).

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

property control
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

property target
class ECR(**data)

Bases: Gate2Q

Implements the ECR gate.

Matrix representation:

\[\begin{split}{\rm ECR} = \begin{bmatrix} 0 & 0 & 1 & i \\ 0 & 0 & i & 1 \\ 1 & -i & 0 & 0 \\ -i & 1 & 0 & 0 \end{bmatrix}\end{split}\]

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

inst: Literal['ECR']
property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

class Gate2Q(**data)

Bases: GateBase, ABC

Base gate for two qubit operations.

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

abstract property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].

qubit1: Annotated[int]
qubit2: Annotated[int]
property qubits
class SWAP(**data)

Bases: Gate2Q

Implements the SWAP gate.

Matrix representation:

\[\begin{split}{\rm SWAP} = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix}\end{split}\]

Create a new model by parsing and validating input data from keyword arguments.

Raises [ValidationError][pydantic_core.ValidationError] if the input data cannot be validated to form a valid model.

self is explicitly positional-only to allow self as a field name.

inst: Literal['SWAP']
property matrix
model_config: ClassVar[ConfigDict] = {'extra': 'forbid', 'ser_json_inf_nan': 'constants', 'use_enum_values': False, 'validate_assignment': True}

Configuration for the model, should be a dictionary conforming to [ConfigDict][pydantic.config.ConfigDict].