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  • Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain

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    Author(s)
    Tischler, N
    Rockstuhl, C
    Slowik, K
    Griffith University Author(s)
    Tischler, Nora
    Year published
    2018
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    Abstract
    Unitary transformations are routinely modeled and implemented in the field of quantum optics. In contrast, nonunitary transformations, which can involve loss and gain, require a different approach. In this work, we present a universal method to deal with nonunitary networks. An input to the method is an arbitrary linear transformation matrix of optical modes that does not need to adhere to bosonic commutation relations. The method constructs a transformation that includes the network of interest and accounts for full quantum optical effects related to loss and gain. Furthermore, through a decomposition in terms of simple ...
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    Unitary transformations are routinely modeled and implemented in the field of quantum optics. In contrast, nonunitary transformations, which can involve loss and gain, require a different approach. In this work, we present a universal method to deal with nonunitary networks. An input to the method is an arbitrary linear transformation matrix of optical modes that does not need to adhere to bosonic commutation relations. The method constructs a transformation that includes the network of interest and accounts for full quantum optical effects related to loss and gain. Furthermore, through a decomposition in terms of simple building blocks, it provides a step-by-step implementation recipe, in a manner similar to the decomposition by Reck et al. [Experimental Realization of Any Discrete Unitary Operator, Phys. Rev. Lett. 73, 58 (1994)] but applicable to nonunitary transformations. Applications of the method include the implementation of positive-operator-valued measures and the design of probabilistic optical quantum information protocols.
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    Journal Title
    Physical Review X
    Volume
    8
    DOI
    https://doi.org/10.1103/PhysRevX.8.021017
    Copyright Statement
    © The Author(s) 2018. For information about this journal please refer to the publisher’s website or contact the author(s). Articles are licensed under the terms of the Creative Commons Attribution 3.0 Unported License which permits unrestricted, non-commercial use, distribution and reproduction in any medium, providing that the work is properly cited.
    Subject
    Astronomical sciences
    Condensed matter physics
    Quantum physics
    Quantum physics not elsewhere classified
    Publication URI
    http://hdl.handle.net/10072/381225
    Collection
    • Journal articles

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