Quantum reference frames associated with non-compact groups : the case of translations and boosts, and the role of mass

Smith, Alexander R. H. and Piani, Marco and Mann, Robert B. (2016) Quantum reference frames associated with non-compact groups : the case of translations and boosts, and the role of mass. Physical Review A - Atomic, Molecular, and Optical Physics, 94 (1). 012333. ISSN 1050-2947 (https://doi.org/10.1103/PhysRevA.94.012333)

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Abstract

Quantum communication without a shared reference frame or the construction of a relational quantum theory requires the notion of a quantum reference frame. We analyze aspects of quantum reference frames associated with non-compact groups, specifically the group of spatial translations and Galilean boosts. We begin by demonstrating how the usually employed group average, used to dispense of the notion of an external reference frame, leads to unphysical states when applied to reference frames associated with non-compact groups. However, we show that this average does lead naturally to a reduced state on the relative degrees of freedom of a system, which was previously considered by Angelo et al. [1]. We then study in detail the informational properties of this reduced state for systems of two and three particles in Gaussian states.

  • Item type:Article
    ID code:57035
    Dates:
    Date
    Event
    18 July 2016
    Published
    17 June 2016
    Accepted
    22 March 2016
    Submitted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:21 Jul 2016 13:58
    Last modified:17 Apr 2024 00:24
    URI:https://strathprints.strath.ac.uk/id/eprint/57035
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