Characteristics of universal embezzling families

Debbie Leung and Bingjie Wang
Phys. Rev. A 90, 042331 – Published 24 October 2014

Abstract

Quantum state embezzlement is the transformation |μ|μ|φ using only local operations, where |φ and |μ are multipartite quantum states. Exact embezzlement is an impossible task since it implies the increase of entanglement without communication. Surprisingly, van Dam and Hayden [Phys. Rev. A 67, 060302 (2003)] find a universal embezzling family of states |μ that enables embezzlement in the bipartite setting with arbitrary precision as the dimension of |μ increases. Furthermore, the family is independent of the state |φ to be embezzled. We study embezzlement in the bipartite setting. We present various requirements and consequences, and infinitely many universal embezzling families inequivalent to that proposed by van Dam and Hayden. We include numerical studies of up to 33-qubit large local systems.

  • Figure
  • Received 15 July 2014

DOI:https://doi.org/10.1103/PhysRevA.90.042331

©2014 American Physical Society

Authors & Affiliations

Debbie Leung

  • Institute for Quantum Computing and Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada

Bingjie Wang

  • University of Cambridge, Cambridge, Cambridgeshire, United Kingdom

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Issue

Vol. 90, Iss. 4 — October 2014

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