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Title: Efficient simulation of unitary operators by combining two numerical algorithms: An NMR simulation of the mirror-inversion propagator of an XY spin chain
Authors: Rao, K. Rama Koteswara
Kumar, Anil
Dept. of Physics
Keywords: Efficient simulation
NMR simulation
Mirror-inversion propagator
mirror-inversion propagator
Spin chain
Issue Date: Jul-2014
Publisher: American Physical Society
Citation: Physical Review A, 90(1), 012306.
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.
ISSN: 1050-2947
Appears in Collections:JOURNAL ARTICLES

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