Experimental estimation of quantum discord for a polarization qubit and the use of fidelity to assess quantum correlations

Claudia Benedetti, Alexander P. Shurupov, Matteo G. A. Paris, Giorgio Brida, and Marco Genovese
Phys. Rev. A 87, 052136 – Published 28 May 2013

Abstract

We address the experimental determination of entropic quantum discord for systems made of a pair of polarization qubits. We compare results from full and partial tomography and found that the two determinations are statistically compatible, with partial tomography leading to a smaller value of discord for depolarized states. Despite the fact that our states are well described, in terms of fidelity, by families of depolarized or phase-damped states, their entropic discord may be largely different from that predicted for these classes of states, such that no reliable estimation procedure beyond tomography may be effectively implemented. Our results, together with the lack of an analytic formula for the entropic discord of a generic two-qubit state, demonstrate that the estimation of quantum discord is an intrinsically noisy procedure. Besides, we question the use of fidelity as a figure of merit to assess quantum correlations.

  • Received 9 April 2013

DOI:https://doi.org/10.1103/PhysRevA.87.052136

©2013 American Physical Society

Authors & Affiliations

Claudia Benedetti1, Alexander P. Shurupov2, Matteo G. A. Paris1, Giorgio Brida2, and Marco Genovese2

  • 1Dipartimento di Fisica, Università degli Studi di Milano, I-20133 Milano, Italy
  • 2INRIM, I-10135, Torino, Italy

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Issue

Vol. 87, Iss. 5 — May 2013

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