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Quantifying the Quantumness of an Ensemble of Quantum States

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Abstract

To quantify the quantumness of an ensemble of quantum states, in this article, we generalize the definition of fidelity and affinity between the states to the ensemble of states. Exploiting the notion of fidelity and affinity-based coherence quantifiers of a quantum state, we propose a quantumness quantifier for the ensemble of quantum states. It is shown that the proposed quantifier satisfies the necessary axioms of a bonafide measure of quantumness. Finally, we compute the quantumness of a few well-known ensembles.

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Authors and Affiliations

  1. Centre for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA Deemed University, Thanjavur, Tamil Nadu, 613 401, India

    R. Muthuganesan & V. K. Chandrasekar

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  1. R. Muthuganesan
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  2. V. K. Chandrasekar
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Correspondence to R. Muthuganesan.

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Muthuganesan, R., Chandrasekar, V.K. Quantifying the Quantumness of an Ensemble of Quantum States. Int J Theor Phys 61, 32 (2022). https://doi.org/10.1007/s10773-022-05042-9

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