Quantum simulation using fidelity-profile optimization

Manu, V. S. ; Kumar, Anil (2014) Quantum simulation using fidelity-profile optimization Physical Review A, 89 (5). Article ID 052331. ISSN 1050-2947

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Official URL: http://journals.aps.org/pra/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevA.89.052331


Experimental quantum simulation of a Hamiltonian H requires unitary operator decomposition (UOD) of its evolution unitary U=exp(−iHt) in terms of native unitary operators of the experimental system. Here, using a genetic algorithm, we numerically evaluate the most generic UOD (valid over a continuous range of Hamiltonian parameters) of the unitary operator U, termed fidelity-profile optimization. The optimization is obtained by systematically evaluating the functional dependence of experimental unitary operators (such as single-qubit rotations and time-evolution unitaries of the system interactions) to the Hamiltonian (H) parameters. Using this technique, we have solved the experimental unitary decomposition of a controlled-phase gate (for any phase value), the evolution unitary of the Heisenberg XY interaction, and simulation of the Dzyaloshinskii-Moriya (DM) interaction in the presence of the Heisenberg XY interaction. Using these decompositions, we studied the entanglement dynamics of a Bell state in the DM interaction and experimentally verified the entanglement preservation procedure of Hou et al. [Ann. Phys. (N.Y.) 327, 292 (2012)] in a nuclear magnetic resonance quantum information processor.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:99368
Deposited On:12 Apr 2016 11:01
Last Modified:12 Apr 2016 11:01

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