RSU3Gate

class RSU3Gate

Bases: QutritGate, DifferentiableUnitary, CachedClass

Rotation by SU3 generator for a single qutrit gate.

where lambda_j is the j-th generator of the SU(3) Lie algebra. We use the physics notation, so each generator is Hermitian and not necessarily unitary. See See compute_su_generators() for more info on the generators. There are N^2-1 = 3^2-1 = 8 generators and N-1 = 3-1 = 2 mutually commute.

References

• “Lie algebras in particle physics : from isospin to unified theories”, Howard Georgi

__init__(index)

Construct a RSU3Gate.

Parameters:

index (int) – The index of the generator to use. See compute_su_generators() for more info on the generators.

Raises:

ValueError – If index is less than 0 or greater than 7

Attributes

dim	The matrix dimension for this unitary.
name	The name of this gate.
num_params	The number of real parameters this unitary-valued function takes.
num_qudits	The number of qudits this unitary can act on.
qasm_name	The qasm identifier for this gate.
radixes	The number of orthogonal states for each qudit.

Methods

check_parameters(params)	Check parameters are valid and match the unitary.
get_grad([params])	Return the gradient for this gate.
get_inverse()	Return the gate's inverse as a gate.
get_inverse_params([params])	Return the parameters that invert the gate.
get_qasm(params, location)	Returns the qasm string for this gate.
get_qasm_gate_def()	Returns a qasm gate definition block for this gate.
get_unitary([params])	Return the unitary for this gate, see Unitary for more.
get_unitary_and_grad([params])	Return a tuple combining the outputs of get_unitary and get_grad.
is_constant()	Return true if this unitary doesn't take parameters.
is_parameterized()	Return true if this unitary is parameterized.
is_qubit_only()	Return true if this unitary can only act on qubits.
is_qudit_only(radix)	Return true if this unitary can only act on radix-qudits.
is_qutrit_only()	Return true if this unitary can only act on qutrits.
is_self_inverse([params])	Checks whether the unitary is its own inverse.
with_all_frozen_params(params)	Freeze all of a gate's parameters so they don't change from optimization.
with_frozen_params(frozen_params)	Freeze some of a gate's parameters so they don't change from optimization.