Efficient simulation of unitary operators by combining two numerical algorithms: An NMR simulation of the mirror-inversion propagator of an XY spin chain

K. Rama Koteswara Rao, T. S. Mahesh, and Anil Kumar
Phys. Rev. A 90, 012306 – Published 8 July 2014

Abstract

Precise experimental implementation of unitary operators is one of the most important tasks for quantum information processing. Numerical optimization techniques are widely used to find optimized control fields to realize a desired unitary operator. However, finding high-fidelity control pulses to realize an arbitrary unitary operator in larger spin systems is still a difficult task. In this work, we demonstrate that a combination of the grape algorithm, which is a numerical pulse optimization technique, and a unitary operator decomposition algorithm [Ajoy et al., Phys. Rev. A 85, 030303 (2012)] can realize unitary operators with high experimental fidelity. This is illustrated by simulating the mirror-inversion propagator of an XY spin chain in a five-spin dipolar coupled nuclear spin system. Further, this simulation has been used to demonstrate the transfer of entangled states from one end of the spin chain to the other end.

    • Received 24 July 2013
    • Revised 27 February 2014

    DOI:https://doi.org/10.1103/PhysRevA.90.012306

    ©2014 American Physical Society

    Authors & Affiliations

    K. Rama Koteswara Rao1, T. S. Mahesh2, and Anil Kumar1

    • 1Centre for Quantum Information and Quantum Computation, Department of Physics and NMR Research Centre, Indian Institute of Science, Bangalore 560012, India
    • 2Department of Physics and NMR Research Center, Indian Institute of Science Education and Research, Pune 411008, India

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    Issue

    Vol. 90, Iss. 1 — July 2014

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