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Linear Optical Logical Bell State Measurements with Optimal Loss-Tolerance Threshold

PRX Quantum, vol. 4

Abstract

Quantum threshold theorems impose hard limits on the hardware capabilities to process quantum information.We derive tight and fundamental upper bounds to loss-tolerance thresholds in different linearoptical quantum information processing settings through an adversarial framework, taking into account the intrinsically probabilistic nature of linear optical Bell measurements.For logical Bell state measurements-ubiquitous operations in photonic quantum information-we demonstrate analytically that linear optics can achieve the fundamental loss threshold imposed by the no-cloning theorem even though, following the work of Lee et al. [Phys.Rev. A 100, 052303 (2019)] the constraint was widely assumed to be stricter.We spotlight the assumptions of the latter publication and find their bound holds for a logical Bell measurement built from adaptive physical linear-optical Bell measurements.We also give an explicit even stricter bound for nonadaptive Bell measurements.

Authors 5

  1. Leiden University · Quandela (France)

    Affiliation as printed

    Huygens-Kamerlingh Onnes Laboratory, Leiden University, P.O. Box 9504, Leiden, RA 2300, Netherlands

    Quandela, 7 Rue Léonard de Vinci, Massy 91300, France

  2. Centre National de la Recherche Scientifique · Sorbonne Université · LIP6

    Affiliation as printed

    Sorbonne Université, CNRS, LIP6, Paris F-75005, France

  3. Virginia Tech

    Affiliation as printed

    Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA

    Virginia Tech Center for Quantum Information Information Science and Engineering, Blacksburg, Virginia 24601, USA

  4. Virginia Tech

    Affiliation as printed

    Department of Physics, Virginia Tech, Blacksburg, Virginia 24061, USA

    Virginia Tech Center for Quantum Information Information Science and Engineering, Blacksburg, Virginia 24601, USA

  5. Centre National de la Recherche Scientifique · Sorbonne Université · LIP6

    Affiliation as printed

    Sorbonne Université, CNRS, LIP6, Paris F-75005, France

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References 68