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Mediation of entanglement and nonlocality of a single fermion

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Abstract

Entanglement is one of the most distinctive features of quantum mechanics and is now considered a fundamental resource in quantum information processing, such as in the protocols of quantum teleportation and quantum key distribution. In general, to extract its power in a useful form, it is necessary to generate entanglement between two or more quantum systems separated by long distances, which is not an easy task due to its fragility under environmental disturbance. Here, we propose a method to create entanglement between two distant fermionic particles, which never interact directly by using a third fermion to mediate the correlation. The protocol initiates with three indistinguishable fermions in a separable state, which are allowed to interact in pairs according to the Hong–Ou–Mandel effect. As a result, it is demonstrated that bipartite maximally entangled states can be generated with an efficiency of about 56%, which makes the method a potential candidate for practical quantum information applications. Furthermore, we use the same protocol to show how the mediator fermion exhibits nonlocal properties, giving a new insight on the long-standing discussion about nonlocality of a single particle.

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Acknowledgements

The author acknowledges financial support from the Brazilian Funding Agency CNPq, Grant Number 309292/2016-6.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-900, Brazil

    Bertúlio de Lima Bernardo

  2. Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, Campina Grande, PB, 58109-970, Brazil

    Bertúlio de Lima Bernardo

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  1. Bertúlio de Lima Bernardo
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Correspondence to Bertúlio de Lima Bernardo.

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Bernardo, B.d.L. Mediation of entanglement and nonlocality of a single fermion. Quantum Inf Process 17, 7 (2018). https://doi.org/10.1007/s11128-017-1771-z

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  • DOI: https://doi.org/10.1007/s11128-017-1771-z

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