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Linear optical CNOT gate with orbital angular momentum and polarization

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Abstract

It is well established in the theory of quantum computation that the controlled-NOT (CNOT) gate is a fundamental element in the construction of a quantum computer. Here, we propose and experimentally demonstrate within a classical light framework that a Mach–Zehnder interferometer composed of polarized beam splitters and a pentaprism in the place of one of the mirrors works as a linear optical quantum CNOT gate. To perform the information processing, the polarization and orbital angular momentum of light act as the control and target qubits, respectively. The readout process is simple, requiring only a linear polarizer and a triangular diffractive aperture prior to detection. The viability and stability of our experiment suggest that the present proposal is a valuable candidate for future implementations in optical quantum computation protocols.

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Acknowledgements

AC thanks UFAL for a paid license for scientific cooperation at UFRN, MEC/UFRN for a fellowship and the Brazilian funding agency CNPQ Universal Grant No. 423713/2016-7. BLB received financial support CNPq, Grant No. 309292/2016-6. WCS acknowledges the Brazilian funding agencies CAPES, FAPEAL and INCT-IQ.

Author information

Author notes

  1. W. C. Soares

    Present address: Grupo de Física da Matéria Condensada, Núcleo de Ciências Exatas - NCEx, Campus Arapiraca, Universidade Federal de Alagoas, Arapiraca, AL, 57309-005, Brazil

  2. Bertúlio de Lima Bernardo

    Present address: Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, PB, 58051-900, Brazil

  3. Askery Canabarro

    Present address: International Institute of Physics, Federal University of Rio Grande do Norte, Natal, 59070-405, Brazil

Authors and Affiliations

  1. Grupo de Física da Matéria Condensada, Núcleo de Ciências Exatas - NCEx, Campus Arapiraca, Universidade Federal de Alagoas, Arapiraca, AL, 57309-005, Brazil

    J. H. Lopes & Askery Canabarro

  2. Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis, SC, 88040-900, Brazil

    W. C. Soares

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

    Bertúlio de Lima Bernardo

  4. Escola de Engenharia Industrial Metalúrgica de Volta Redonda, Universidade Federal Fluminense, Avenida dos Trabalhadores, 420 Vila Santa Cecília, Volta Redonda, RJ, 27255125, Brazil

    D. P. Caetano

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  1. J. H. Lopes
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Lopes, J.H., Soares, W.C., de Lima Bernardo, B. et al. Linear optical CNOT gate with orbital angular momentum and polarization. Quantum Inf Process 18, 256 (2019). https://doi.org/10.1007/s11128-019-2369-4

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