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Extending SDL and LMC complexity measures to quantum states

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  • Piqueira, José Roberto C.
  • Campbell-Borges, Yuri Cássio

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.

Suggested Citation

  • Piqueira, José Roberto C. & Campbell-Borges, Yuri Cássio, 2013. "Extending SDL and LMC complexity measures to quantum states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5255-5259.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:20:p:5255-5259
    DOI: 10.1016/j.physa.2013.06.043
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    References listed on IDEAS

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    1. Piqueira, José Roberto C. & de Mattos, Sérgio Henrique V.L., 2011. "Note on LMC complexity measure," Ecological Modelling, Elsevier, vol. 222(19), pages 3603-3604.
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