Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control

The precise engineering of quantum states, a basic prerequisite for technologies such as quantum-enhanced sensing or quantum computing, becomes more challenging with increasing dimension of the system Hilbert space. Standard preparation techniques then require a large number of operations or slow ad...

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Autores principales:	Arthur Larrouy, Sabrina Patsch, Rémi Richaud, Jean-Michel Raimond, Michel Brune, Christiane P. Koch, Sébastien Gleyzes
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/c1e69370670a4287afb131f351873a83
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spelling	oai:doaj.org-article:c1e69370670a4287afb131f351873a832021-12-02T12:10:28ZFast Navigation in a Large Hilbert Space Using Quantum Optimal Control10.1103/PhysRevX.10.0210582160-3308https://doaj.org/article/c1e69370670a4287afb131f351873a832020-06-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.021058http://doi.org/10.1103/PhysRevX.10.021058https://doaj.org/toc/2160-3308The precise engineering of quantum states, a basic prerequisite for technologies such as quantum-enhanced sensing or quantum computing, becomes more challenging with increasing dimension of the system Hilbert space. Standard preparation techniques then require a large number of operations or slow adiabatic evolution and give access to only a limited set of states. Here, we use quantum optimal control theory to overcome this problem and derive shaped radio-frequency pulses to experimentally navigate the Stark manifold of a Rydberg atom. We demonstrate that optimal control, beyond improving the fidelity of an existing protocol, also enables us to accurately generate a nonclassical superposition state that cannot be prepared with reasonable fidelity using standard techniques. Optimal control thus substantially enlarges the range of accessible states. Our joint experimental and theoretical work establishes quantum optimal control as a key tool for quantum engineering in complex Hilbert spaces.Arthur LarrouySabrina PatschRémi RichaudJean-Michel RaimondMichel BruneChristiane P. KochSébastien GleyzesAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 2, p 021058 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Arthur Larrouy Sabrina Patsch Rémi Richaud Jean-Michel Raimond Michel Brune Christiane P. Koch Sébastien Gleyzes Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control
description	The precise engineering of quantum states, a basic prerequisite for technologies such as quantum-enhanced sensing or quantum computing, becomes more challenging with increasing dimension of the system Hilbert space. Standard preparation techniques then require a large number of operations or slow adiabatic evolution and give access to only a limited set of states. Here, we use quantum optimal control theory to overcome this problem and derive shaped radio-frequency pulses to experimentally navigate the Stark manifold of a Rydberg atom. We demonstrate that optimal control, beyond improving the fidelity of an existing protocol, also enables us to accurately generate a nonclassical superposition state that cannot be prepared with reasonable fidelity using standard techniques. Optimal control thus substantially enlarges the range of accessible states. Our joint experimental and theoretical work establishes quantum optimal control as a key tool for quantum engineering in complex Hilbert spaces.
format	article
author	Arthur Larrouy Sabrina Patsch Rémi Richaud Jean-Michel Raimond Michel Brune Christiane P. Koch Sébastien Gleyzes
author_facet	Arthur Larrouy Sabrina Patsch Rémi Richaud Jean-Michel Raimond Michel Brune Christiane P. Koch Sébastien Gleyzes
author_sort	Arthur Larrouy
title	Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control
title_short	Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control
title_full	Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control
title_fullStr	Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control
title_full_unstemmed	Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control
title_sort	fast navigation in a large hilbert space using quantum optimal control
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/c1e69370670a4287afb131f351873a83
work_keys_str_mv	AT arthurlarrouy fastnavigationinalargehilbertspaceusingquantumoptimalcontrol AT sabrinapatsch fastnavigationinalargehilbertspaceusingquantumoptimalcontrol AT remirichaud fastnavigationinalargehilbertspaceusingquantumoptimalcontrol AT jeanmichelraimond fastnavigationinalargehilbertspaceusingquantumoptimalcontrol AT michelbrune fastnavigationinalargehilbertspaceusingquantumoptimalcontrol AT christianepkoch fastnavigationinalargehilbertspaceusingquantumoptimalcontrol AT sebastiengleyzes fastnavigationinalargehilbertspaceusingquantumoptimalcontrol
_version_	1718394655821791232

Fast Navigation in a Large Hilbert Space Using Quantum Optimal Control

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