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Enhanced entanglement criterion via symmetric informationally complete measurements

Jiangwei Shang, Ali Asadian, Huangjun Zhu, and Otfried Gühne
Phys. Rev. A 98, 022309 – Published 10 August 2018

Abstract

We show that a special type of measurements, called symmetric informationally complete positive operator-valued measures (SIC POVMs), provide a stronger entanglement detection criterion than the computable cross-norm or realignment criterion based on local orthogonal observables. As an illustration, we demonstrate the enhanced entanglement detection power in simple systems of qubit and qutrit pairs. This observation highlights the significance of SIC POVMs for entanglement detection.

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  • Received 18 May 2018

DOI:https://doi.org/10.1103/PhysRevA.98.022309

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Jiangwei Shang1,2,*, Ali Asadian2,3,4,†, Huangjun Zhu5,6,7,8,9,‡, and Otfried Gühne2,§

  • 1Beijing Key Laboratory of Nanophotonics and Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, Beijing 100081, China
  • 2Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany
  • 3Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan 45137-66731, Iran
  • 4Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1040 Vienna, Austria
  • 5Department of Physics and Center for Field Theory and Particle Physics, Fudan University, Shanghai 200433, China
  • 6State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China
  • 7Institute for Nanoelectronic Devices and Quantum Computing, Fudan University, Shanghai 200433, China
  • 8Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China
  • 9Institute for Theoretical Physics, University of Cologne, Cologne 50937, Germany

  • *jiangwei.shang@bit.edu.cn
  • ali.asadian668@gmail.com
  • zhuhuangjun@fudan.edu.cn
  • §otfried.guehne@uni-siegen.de

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Vol. 98, Iss. 2 — August 2018

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