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Enhancing qubit information with quantum thermal noise

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  • Gillard, Nicolas
  • Belin, Etienne
  • Chapeau-Blondeau, François

Abstract

Informational quantities characterizing the qubit are analyzed in the presence of quantum thermal noise modeling the decoherence process due to interaction with the environment represented as a heat bath at arbitrary temperature. Nontrivial regimes of variation are reported for the informational quantities, which do not necessarily degrade monotonically as the temperature of the thermal noise increases, but on the contrary can experience nonmonotonic variations where higher noise temperatures can prove more favorable. Such effects show that increased quantum decoherence does not necessarily entail poorer informational performance, and they are related to stochastic resonance or noise-enhanced efficiency in information processing.

Suggested Citation

  • Gillard, Nicolas & Belin, Etienne & Chapeau-Blondeau, François, 2018. "Enhancing qubit information with quantum thermal noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 219-230.
  • Handle: RePEc:eee:phsmap:v:507:y:2018:i:c:p:219-230
    DOI: 10.1016/j.physa.2018.05.099
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    References listed on IDEAS

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    1. Abe, Sumiyoshi, 2002. "Nonadditive entropies and quantum entanglement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 306(C), pages 316-322.
    2. Majtey, A.P. & Plastino, A.R. & Plastino, A., 2012. "New features of quantum discord uncovered by q-entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2491-2499.
    3. Menon, V.J. & Chanana, N. & Singh, Y., 2000. "Single-particle treatment of quantum stochastic resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(3), pages 505-530.
    4. Wadop Ngouongo, Y.J. & Djuidjé Kenmoé, G. & Kofané, T.C., 2017. "Effect of coupling on stochastic resonance and stochastic antiresonance processes in a unidirectionally N-coupled systems in periodic sinusoidal potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 25-31.
    5. Rossignoli, R. & Canosa, N., 2004. "Generalized disorder measures and the detection of quantum entanglement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 637-643.
    6. Chapeau-Blondeau, François, 2014. "Tsallis entropy for assessing quantum correlation with Bell-type inequalities in EPR experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 204-215.
    7. Duan, Fabing & Abbott, Derek, 2007. "Binary modulated signal detection in a bistable receiver with stochastic resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 173-190.
    8. Julian Juhi-Lian Ting, 2000. "Noise effects on one-Pauli channels," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 13(3), pages 527-530, February.
    9. Fuentes, M.A. & Toral, Raúl & Wio, Horacio S., 2001. "Enhancement of stochastic resonance: the role of non Gaussian noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 114-122.
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