Extending SDL and LMC complexity measures to quantum states

José Roberto C. Piqueira and Yuri Cássio Campbell-Borges

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 20, 5255-5259

Abstract: An extension of SDL (Shiner, Davison, Landsberg) and LMC (López-Ruiz, Mancini, Calbet) complexity measures is proposed for the quantum information context, considering that Von Neumann entropy is a natural disorder quantifier for quantum states. As a first example of application, the simple qubit was studied, presenting results similar to that obtained by applying SDL and LMC measures to a classical probability distribution. Then, for the Werner state, a mixture of Bell states, SDL and LMC measures were calculated, depending on the mixing factor γ, providing some conjectures concerning quantum systems.

Keywords: Disorder; Qubit; Von Neumann entropy; Werner state (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:20:p:5255-5259

DOI: 10.1016/j.physa.2013.06.043

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