TwoQubitWeylDecomposition
class qiskit.synthesis.TwoQubitWeylDecomposition(unitary_matrix, fidelity=0.999999999, *, _specialization=None)
Bases: object(opens in a new tab)
Two-qubit Weyl decomposition.
Decompose two-qubit unitary
where
and we stay in the “Weyl Chamber”
This class avoids some problems of numerical instability near high-symmetry loci within the Weyl chamber. If there is a high-symmetry gate “nearby” (in terms of the requested average gate fidelity), then it return a canonicalized decomposition of that high-symmetry gate.
References
- Cross, A. W., Bishop, L. S., Sheldon, S., Nation, P. D. & Gambetta, J. M., Validating quantum computers using randomized model circuits, arXiv:1811.12926 [quant-ph](opens in a new tab)
- B. Kraus, J. I. Cirac, Optimal Creation of Entanglement Using a Two-Qubit Gate, arXiv:0011050 [quant-ph](opens in a new tab)
- B. Drury, P. J. Love, Constructive Quantum Shannon Decomposition from Cartan Involutions, arXiv:0806.4015 [quant-ph](opens in a new tab)
Attributes
a
Type: float
b
Type: float
c
Type: float
global_phase
Type: float
K1l
Type: ndarray
K2l
Type: ndarray
K1r
Type: ndarray
K2r
Type: ndarray
unitary_matrix
Type: ndarray
requested_fidelity
Type: float | None
calculated_fidelity
Type: float
Methods
actual_fidelity
actual_fidelity(**kwargs)
Calculates the actual fidelity of the decomposed circuit to the input unitary.
Return type
circuit
circuit(*, euler_basis=None, simplify=False, atol=1e-12)
Returns Weyl decomposition in circuit form.
Return type
from_bytes
classmethod from_bytes(bytes_in, *, requested_fidelity, _specialization=None, **kwargs)
Decode bytes into TwoQubitWeylDecomposition.
Return type
specialize
specialize()
Make changes to the decomposition to comply with any specializations.
This method will always raise a NotImplementedError because there are no specializations to comply with in the current implementation.
The method qiskit.synthesis.two_qubit.two_qubit_decompose.TwoQubitWeylDecomposition.specialize() is deprecated as of qiskit 1.1.0. It will be removed in the 2.0.0 release.