Quantumness of correlations, quantumness of ensembles and quantum data hiding

Piani, Marco and Narasimhachar, Varun and Calsamiglia, John (2014) Quantumness of correlations, quantumness of ensembles and quantum data hiding. New Journal of Physics, 16 (11). 113001. ISSN 1367-2630 (https://doi.org/10.1088/1367-2630/16/11/113001)

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Abstract

We study the quantumness of correlations for ensembles of bi- and multi-partite systems and relate it to the task of quantum data hiding. Quantumness is here intended in the sense of minimum average disturbance under local measurements. We consider a very general framework, but focus on local complete von Neumann measurements as cause of the disturbance, and, later on, on the trace-distance as quantifier of the disturbance. We discuss connections with entanglement and previously defined notions of quantumness of correlations. We prove that a large class of quantifiers of the quantumness of correlations are entanglement monotones for pure bipartite states. In particular, we define an entanglement of disturbance for pure states, for which we give an analytical expression. Such a measure coincides with negativity and concurrence for the case of two qubits. We compute general bounds on disturbance for both single states and ensembles, and consider several examples, including the uniform Haar ensemble of pure states, and pairs of qubit states. Finally, we show that the notion of ensemble quantumness of correlations is most relevant in quantum data hiding. Indeed, while it is known that entanglement is not necessary for a good quantum data hiding scheme, we prove that ensemble quantumness of correlations is.

ORCID iDs

Piani, Marco ORCID: https://orcid.org/0000-0002-4698-9497

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• Item metadata

  Item type:	Article
  ID code:	50206
  Dates:	Date Event 31 October 2014 Published 16 September 2014 Accepted
  Subjects:	Science > Physics
  Department:	Faculty of Science > Physics
  Depositing user:	Pure Administrator
  Date deposited:	07 Nov 2014 14:41
  Last modified:	16 Dec 2024 01:32
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/50206