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Interaction of light and semiconductor can generate quantum states required for solid-state quantum computing: entangled, steered and other nonclassical states

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Abstract

Proposals for solid-state quantum computing are extremely promising as they can be used to build room temperature quantum computers. If such a quantum computer is ever built, it would require built-in sources of nonclassical states required for various quantum information processing tasks. Possibilities of generation of such nonclassical states are investigated here for a physical system composed of a monochromatic light coupled to a two-band semiconductor with direct band gap. The model Hamiltonian includes both photon–exciton and exciton–exciton interactions. Time evolution of the relevant bosonic operators is obtained analytically by using a perturbative technique that provides operator solution for the coupled Heisenberg’s equations of motion corresponding to the system Hamiltonian. The bosonic operators are subsequently used to study the possibilities of observing single- and two-mode squeezing and antibunching after interaction in the relevant modes of light and semiconductor. Further, entanglement between the exciton and photon modes is reported. Finally, the nonclassical effects have been studied numerically for the open quantum system scenario. In this situation, the nonlocal correlations between two modes are shown to violate EPR steering inequality. The observed nonclassical features, induced due to exciton–exciton pair interaction, can be controlled by the phase of input field, and the correlations between two modes are shown to enhance due to nonclassicality in the input field.

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Acknowledgements

AP thanks Department of Science and Technology (DST), India, for the support provided through the project number EMR/2015/000393. KT thanks the project LO1305 of the Ministry of Education, Youth and Sports of the Czech Republic for support.

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Authors and Affiliations

  1. Department of Physics, Visva-Bharati, Santiniketan, 731 235, India

    Arjun Mukhopadhyay & Swapan Mandal

  2. Department of Physics, Vidysagar Teachers’ Training College, Midnapore, 721 101, India

    Biswajit Sen

  3. Jaypee Institute of Information Technology, A-10, Sector-62, Noida, UP, 201309, India

    Kishore Thapliyal & Anirban Pathak

  4. RCPTM, Joint Laboratory of Optics of Palacky University and Institute of Physics of Academy of Science of the Czech Republic, Faculty of Science, Palacky University, 17. listopadu 12, 771 46, Olomouc, Czech Republic

    Kishore Thapliyal

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  1. Arjun Mukhopadhyay
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Mukhopadhyay, A., Sen, B., Thapliyal, K. et al. Interaction of light and semiconductor can generate quantum states required for solid-state quantum computing: entangled, steered and other nonclassical states. Quantum Inf Process 18, 234 (2019). https://doi.org/10.1007/s11128-019-2344-0

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