Generalized state spaces and nonlocality in fault-tolerant quantum-computing schemes

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Ratanje, N. and Virmani, Shashank (2011) Generalized state spaces and nonlocality in fault-tolerant quantum-computing schemes. Physical Review A, 83 (3). 032309. ISSN 1050-2947 (https://doi.org/10.1103/PhysRevA.83.032309)

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Abstract

We develop connections between generalized notions of entanglement and quantum computational devices where the measurements available are restricted, either because they are noisy and/or because by design they are only along Pauli directions. By considering restricted measurements one can (by considering the dual positive operators) construct single-particle-state spaces that are different to the usual quantum-state space. This leads to a modified notion of entanglement that can be very different to the quantum version (for example, Bell states can become separable). We use this approach to develop alternative methods of classical simulation that have strong connections to the study of nonlocal correlations: we construct noisy quantum computers that admit operations outside the Clifford set and can generate some forms of multiparty quantum entanglement, but are otherwise classical in that they can be efficiently simulated classically and cannot generate nonlocal statistics. Although the approach provides new regimes of noisy quantum evolution that can be efficiently simulated classically, it does not appear to lead to significant reductions of existing upper bounds to fault tolerance thresholds for common noise models.

  • Item type:Article
    ID code:34993
    Dates:
    Date
    Event
    14 March 2011
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:21 Oct 2011 13:57
    Last modified:11 Nov 2024 09:55
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/34993
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