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Quantifying quantum information resources: a numerical study

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Abstract

Quantum systems present correlations, which cannot be offered by classical objects. These distinctive correlations are not only considered as fundamental features of quantum mechanics, but more importantly, they are regarded as critical resources for different quantum information tasks. For example, quantum entanglement has been established as the key resource for quantum communication, and quantum discord has been suggested as the resource in deterministic quantum computation with one qubit (DQC1). However, quantification of these resources is very difficult, especially for many-body situations. Here, we introduce a unified numerical method to quantify these resources in general multiqubit states and use it to investigate the robustness of quantum discord in multiqubit permutation-invariant states. Our method paves the way to quantitatively investigate the relation between the potential of quantum technologies and quantum resources, particularly, that between quantum computation and quantum correlations.

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Acknowledgments

Lixin HE acknowledges the support from Chinese National Fundamental Research Program (Grant No. 2011CB921200), National Natural Science Funds for Distinguished Young Scholars, and the Fundamental Research Funds for the Central Universities (Grant No. WK2470000006).

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Correspondence to Lixin He.

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Wang, Z., He, L. Quantifying quantum information resources: a numerical study. Sci. China Inf. Sci. 60, 052501 (2017). https://doi.org/10.1007/s11432-016-9006-6

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Keywords

  • quantum
  • quantum information
  • quantum computation
  • entanglement
  • quantum discord
  • numerical algorithm
  • replica exchange Monte Carlo