Observable Measure of Bipartite Quantum Correlations

Davide Girolami and Gerardo Adesso
Phys. Rev. Lett. 108, 150403 – Published 13 April 2012

Abstract

We introduce a measure Q of bipartite quantum correlations for arbitrary two-qubit states, expressed as a state-independent function of the density matrix elements. The amount of quantum correlations can be quantified experimentally by measuring the expectation value of a small set of observables on up to four copies of the state, without the need for a full tomography. We extend the measure to 2×d systems, providing its explicit form in terms of observables and applying it to the relevant class of multiqubit states employed in the deterministic quantum computation with one quantum bit model. The number of required measurements to determine Q in our scheme does not increase with d. Our results provide an experimentally friendly framework to estimate quantitatively the degree of general quantum correlations in composite systems.

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  • Received 23 October 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.150403

© 2012 American Physical Society

Authors & Affiliations

Davide Girolami* and Gerardo Adesso

  • School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

  • *pmxdg1@nottingham.ac.uk
  • gerardo.adesso@nottingham.ac.uk

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Issue

Vol. 108, Iss. 15 — 13 April 2012

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