bloqade.analog.emulate.ir.state_vector.RydbergHamiltonian

← Module overview

classRydbergHamiltonian¶source

bloqade.analog.emulate.ir.state_vector.RydbergHamiltonian

Hamiltonian for a given task. With the `RydbergHamiltonian` you can convert the Hamiltonian to CSR matrix form as well as obtaining the average energy/variance of a register.

Signature

class RydbergHamiltonian(emulator_ir: EmulatorProgram, space: Space, rydberg: NDArray, detuning_ops: List[DetuningOperator] = list(), rabi_ops: List[RabiOperator] = list())

Public import paths

• from bloqade.analog.ir.routine.bloqade import RydbergHamiltonian

Parameters

Name	Type	Default	Description
emulator_ir	EmulatorProgram	required
space	Space	required
rydberg	NDArray	required
detuning_ops	List[DetuningOperator]	list()
rabi_ops	List[RabiOperator]	list()

Attributes

Name	Type	Description
emulator_ir	EmulatorProgram	A copy of the original program used to generate the RydbergHamiltonian
space	Space	The Hilbert space of the Hamiltonian, should align with the register the Hamiltonian is being applied on for average energy/variance
rydberg	NDArray	Rydberg interaction operator
detuning_ops	List[DetuningOperator]	Detuning Operators of the Hamiltonian
rabi_ops	List[RabiOperator]	Rabi Operators of the Hamiltonian

methodaverage¶source

bloqade.analog.emulate.ir.state_vector.RydbergHamiltonian.average

Signature

def average(register: StateVector, time: Optional[float] = None) -> float

Get energy average from RydbergHamiltonian object at time time with register register

Parameters

Name	Type	Default	Description
register	StateVector	required	The state vector to take average with
time	Optional[float]	None	Time value to evaluate average at.

Returns

floatfloat: average energy at time `time`

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methodaverage_and_variance¶source

bloqade.analog.emulate.ir.state_vector.RydbergHamiltonian.average_and_variance

Signature

def average_and_variance(register: StateVector, time: Optional[float] = None) -> Tuple[float, float]

Get energy average and variance from RydbergHamiltonian object at time time with register register

Parameters

Name	Type	Default	Description
register	StateVector	required	The state vector to take average and variance with
time	Optional[float]	None	Time value to evaluate average at.

Returns

(float, float)Tuple[float, float]: average and variance of energy at time `time` respectively.

source

methodvariance¶source

bloqade.analog.emulate.ir.state_vector.RydbergHamiltonian.variance

Signature

def variance(register: StateVector, time: Optional[float] = None) -> float

Get the energy variance from RydbergHamiltonian object at time time with register register

Parameters

Name	Type	Default	Description
register	StateVector	required	The state vector to take variance with
time	Optional[float]	None	Time value to evaluate average at.

Returns

floatcomplex: variance of energy at time `time` respectively.

source

methodtocsr¶source

bloqade.analog.emulate.ir.state_vector.RydbergHamiltonian.tocsr

def tocsr(time: float) -> csr_matrix

Return the Hamiltonian as a csr matrix at time time.

Parameters

Name	Type	Description
time	float	time to evaluate the Hamiltonian at.

Returns

csr_matrixcsr_matrix: The Hamiltonian as a csr matrix.

source