Reconstruction of bipartite states via unambiguous state discrimination and mutually unbiased measurement

Reconstruction of bipartite states via unambiguous state discrimination and mutually unbiased... We propose a scheme for reconstructing an unknown two-particle mixed state by means of unambiguous state discrimination. In this protocol, an ancillary particle is introduced for distinguishing four nonorthogonal states. The discrimination process is performed by a bipartite unitary operation on the two-particle system and the ancilla followed by a von Neumann measurement on the ancilla. Then the original two-particle system is measured in mutually unbiased bases. Consequently, the two-particle mixed state can be reconstructed. Furthermore, the total number of measurements in this protocol is less than that of the standard quantum tomography, thus the quantum resources is saved. Additionally, the nonorthogonal states discrimination and mutually unbiased measurement can be experimentally achieved, therefore our protocol may be realized with the current technology. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Reconstruction of bipartite states via unambiguous state discrimination and mutually unbiased measurement

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-014-0857-0
Publisher site
See Article on Publisher Site

Abstract

We propose a scheme for reconstructing an unknown two-particle mixed state by means of unambiguous state discrimination. In this protocol, an ancillary particle is introduced for distinguishing four nonorthogonal states. The discrimination process is performed by a bipartite unitary operation on the two-particle system and the ancilla followed by a von Neumann measurement on the ancilla. Then the original two-particle system is measured in mutually unbiased bases. Consequently, the two-particle mixed state can be reconstructed. Furthermore, the total number of measurements in this protocol is less than that of the standard quantum tomography, thus the quantum resources is saved. Additionally, the nonorthogonal states discrimination and mutually unbiased measurement can be experimentally achieved, therefore our protocol may be realized with the current technology.

Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 26, 2014

References

  • Density operators and quasiprobability distributions
    Cahill, KE; Glauber, RJ
  • Measurement of qubits
    James, DFV
  • Optimal quantum tomography of permutationally invariant qubits
    Klimov, AB; Björk, G; Sánchez-Soto, LL
  • Characterization of high-dimensional entangled systems via mutually unbiased measurements
    Giovannini, D
  • Self-protected quantum algorithms based on quantum state tomography
    Wu, LA; Byrd, MS
  • Unambiguous discrimination between linearly independent quantum states
    Chefles, A
  • Unambiguous discrimination between two unknown qudit states
    Zhou, T
  • Optimal unambiguous discrimination of pure qudits
    Zhang, WH

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