Holonomic Quantum Control with Continuous Variable Systems

Victor V. Albert, Chi Shu, Stefan Krastanov, Chao Shen, Ren-Bao Liu, Zhen-Biao Yang, Robert J. Schoelkopf, Mazyar Mirrahimi, Michel H. Devoret, and Liang Jiang
Phys. Rev. Lett. 116, 140502 – Published 7 April 2016
PDFHTMLExport Citation

Abstract

Universal computation of a quantum system consisting of superpositions of well-separated coherent states of multiple harmonic oscillators can be achieved by three families of adiabatic holonomic gates. The first gate consists of moving a coherent state around a closed path in phase space, resulting in a relative Berry phase between that state and the other states. The second gate consists of “colliding” two coherent states of the same oscillator, resulting in coherent population transfer between them. The third gate is an effective controlled-phase gate on coherent states of two different oscillators. Such gates should be realizable via reservoir engineering of systems that support tunable nonlinearities, such as trapped ions and circuit QED.

  • Figure
  • Figure
  • Figure
  • Received 10 April 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.140502

© 2016 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsQuantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Victor V. Albert1,*, Chi Shu1,2, Stefan Krastanov1, Chao Shen1, Ren-Bao Liu3, Zhen-Biao Yang1,4, Robert J. Schoelkopf1, Mazyar Mirrahimi1,5, Michel H. Devoret1, and Liang Jiang1,†

  • 1Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA
  • 2Department of Physics, The Hong Kong University of Science and Technology, Hong Kong, China
  • 3Department of Physics and Centre for Quantum Coherence, The Chinese University of Hong Kong, Hong Kong, China
  • 4Department of Physics, Fuzhou University, Fuzhou, China
  • 5INRIA Paris-Rocquencourt, Domaine de Voluceau, Le Chesnay Cedex, France

  • *valbert4@gmail.com
  • liang.jiang@yale.edu

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 116, Iss. 14 — 8 April 2016

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×