Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System

B. E. Anderson, H. Sosa-Martinez, C. A. Riofrío, Ivan H. Deutsch, Poul S Jessen

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

Unitary transformations are the most general input-output maps available in closed quantum systems. Good control protocols have been developed for qubits, but questions remain about the use of optimal control theory to design unitary maps in high-dimensional Hilbert spaces, and about the feasibility of their robust implementation in the laboratory. Here we design and implement unitary maps in a 16-dimensional Hilbert space associated with the 6S<inf>1/2</inf> ground state of <sup>133</sup>Cs, achieving fidelities >0.98 with built-in robustness to static and dynamic perturbations. Our work has relevance for quantum information processing and provides a template for similar advances on other physical platforms.

Original languageEnglish (US)
Article number240401
JournalPhysical Review Letters
Volume114
Issue number24
DOIs
StatePublished - Jun 16 2015

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Hilbert space
control theory
optimal control
templates
platforms
perturbation
ground state
output

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System. / Anderson, B. E.; Sosa-Martinez, H.; Riofrío, C. A.; Deutsch, Ivan H.; Jessen, Poul S.

In: Physical Review Letters, Vol. 114, No. 24, 240401, 16.06.2015.

Research output: Contribution to journalArticle

Anderson, B. E. ; Sosa-Martinez, H. ; Riofrío, C. A. ; Deutsch, Ivan H. ; Jessen, Poul S. / Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System. In: Physical Review Letters. 2015 ; Vol. 114, No. 24.
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