Arbitrary qudit gates by adiabatic passage

Arbitrary qudit gates by adiabatic passage We derive an adiabatic technique that implements the most general SU( d ) transformation in a quantum system of d degenerate states, featuring a qudit. This technique is based on the factorization of the SU( d ) transformation into d generalized quantum Householder reflections, each of which is implemented by a two-shot stimulated Raman adiabatic passage with appropriate static phases. The energy of the lasers needed to synthesize a single Householder reflection is shown to be remarkably constant as a function of d . This technique is directly applicable to a linear trapped ion system with d + 1 ions. We implement the quantum Fourier transform numerically in a qudit with d = 4 (defined as a quartit) as an example. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Arbitrary qudit gates by adiabatic passage

Physical Review A, Volume 87 (3) – Mar 25, 2013
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Publisher
American Physical Society (APS)
Copyright
©2013 American Physical Society
ISSN
1050-2947
DOI
10.1103/PhysRevA.87.032328
Publisher site
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Abstract

We derive an adiabatic technique that implements the most general SU( d ) transformation in a quantum system of d degenerate states, featuring a qudit. This technique is based on the factorization of the SU( d ) transformation into d generalized quantum Householder reflections, each of which is implemented by a two-shot stimulated Raman adiabatic passage with appropriate static phases. The energy of the lasers needed to synthesize a single Householder reflection is shown to be remarkably constant as a function of d . This technique is directly applicable to a linear trapped ion system with d + 1 ions. We implement the quantum Fourier transform numerically in a qudit with d = 4 (defined as a quartit) as an example.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Mar 25, 2013

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