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Entanglement in non-Hermitian quantum theory

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Abstract

Entanglement is one of the key features of quantum world that has no classical counterpart. This arises due to the linear superposition principle and the tensor product structure of the Hilbert space when we deal with multiparticle systems. In this paper, we will introduce the notion of entanglement for quantum systems that are governed by non-Hermitian yet PT-symmetric Hamiltonians. We will show that maximally entangled states in usual quantum theory behave like non-maximally entangled states in PT-symmetric quantum theory. Furthermore, we will show how to create entanglement between two PT qubits using non-Hermitian Hamiltonians and discuss the entangling capability of such interaction Hamiltonians that are non-Hermitian in nature.

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Authors and Affiliations

  1. Institute of Physics, Sachivalaya Marg, Bhubaneswar, 751 005, India

    Arun K. Pati

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  1. Arun K. Pati
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Correspondence to Arun K. Pati.

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Pati, A.K. Entanglement in non-Hermitian quantum theory. Pramana - J Phys 73, 485–498 (2009). https://doi.org/10.1007/s12043-009-0101-0

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  • DOI: https://doi.org/10.1007/s12043-009-0101-0

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