Skip to main content

Limits of optimal control yields achievable with quantum controllers

Author(s): Wu, Re-Bing; Brif, Constantin; James, Matthew R.; Rabitz, Herschel

Download
To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1t801
Full metadata record
DC FieldValueLanguage
dc.contributor.authorWu, Re-Bing-
dc.contributor.authorBrif, Constantin-
dc.contributor.authorJames, Matthew R.-
dc.contributor.authorRabitz, Herschel-
dc.date.accessioned2020-10-30T18:35:36Z-
dc.date.available2020-10-30T18:35:36Z-
dc.date.issued2015-04-23en_US
dc.identifier.citationWu, Re-Bing, Brif, Constantin, James, Matthew R., Rabitz, Herschel. (2015). Limits of optimal control yields achievable with quantum controllers. PHYSICAL REVIEW A, 91 (10.1103/PhysRevA.91.042327en_US
dc.identifier.issn2469-9926-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1t801-
dc.description.abstractIn quantum optimal control theory, kinematic bounds are the minimum and maximum values of the control objective achievable for any physically realizable system dynamics. For a given initial state of the system, these bounds depend on the nature and state of the controller. We consider a general situation where the controlled quantum system is coupled to both an external classical field (referred to as a classical controller) and an auxiliary quantum system (referred to as a quantum controller). In this general situation, the kinematic bound is between the classical kinematic bound (CKB), corresponding to the case where only the classical controller is available, and the quantum kinematic bound (QKB), corresponding to the ultimate physical limit of the objective’s value. Specifically, when the control objective is the expectation value of a quantum observable (a Hermitian operator on the system’s Hilbert space), the QKBs are the minimum and maximum eigenvalues of this operator. We present, both qualitatively and quantitatively, the necessary and sufficient conditions for surpassing the CKB and reaching the QKB, through the use of a quantum controller. The general conditions are illustrated by examples in which the system and controller are initially in thermal states. The obtained results provide a basis for the design of quantum controllers capable of maximizing the control yield and reaching the ultimate physical limit.en_US
dc.format.extent042327-1 -042327-10en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW Aen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleLimits of optimal control yields achievable with quantum controllersen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevA.91.042327-
dc.identifier.eissn2469-9934-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

Files in This Item:
File Description SizeFormat 
PhysRevA.91.042327.pdf436.35 kBAdobe PDFView/Download


Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.