Quantum simulation of quantum channels in nuclear magnetic resonance

Tao Xin, Shi-Jie Wei, Julen S. Pedernales, Enrique Solano, and Gui-Lu Long
Phys. Rev. A 96, 062303 – Published 1 December 2017

Abstract

We propose and experimentally demonstrate an efficient framework for the quantum simulation of quantum channels in nuclear magnetic resonance (NMR). Our approach relies on the suitable decomposition of nonunitary operators in a linear combination of d unitary ones, which can be then experimentally implemented with the assistance of a number of ancillary qubits that grows logarithmically in d. As a proof-of-principle demonstration, we realize the quantum simulation of three quantum channels for a single-qubit: phase damping, amplitude damping, and depolarizing channels. For these paradigmatic cases, we measure key features, such as the fidelity of the initial state and the associated von Neumann entropy for a qubit evolving through these channels. Our experiments are carried out using nuclear spins in a liquid sample and NMR control techniques.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 22 April 2017
  • Revised 19 September 2017

DOI:https://doi.org/10.1103/PhysRevA.96.062303

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Tao Xin1,2, Shi-Jie Wei1, Julen S. Pedernales3,4, Enrique Solano3,5, and Gui-Lu Long1,2,6,*

  • 1State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
  • 2Tsinghua National Laboratory of Information Science and Technology, Beijing 100084, China
  • 3Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain
  • 4Institut für Theoretische Physik and IQST, Albert-Einstein-Allee 11, Universität Ulm, D-89069 Ulm, Germany
  • 5IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao, Spain
  • 6The Innovative Center of Quantum Matter, Beijing 100084, China

  • *Correspondence and requests for materials should be addressed to: gllong@tsinghua.edu.cn

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 6 — December 2017

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×