Binary search trees for generalized measurements

Andersson, E. and Oi, Daniel K.L. (2008) Binary search trees for generalized measurements. Physical Review A, 77 (5). 052104. ISSN 1050-2947 (http://dx.doi.org/10.1103/PhysRevA.77.052104)

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Abstract

Generalized quantum measurements (positive operator valued measures or probability operator measures) are important for optimally extracting information for quantum communication and computation. The standard realization via the Neumark extension requires extensive resources in the form of operations in an extended Hilbert space. For an arbitrary measurement, we show how to construct a binary search tree with a depth logarithmic in the number of possible outcomes. This could be implemented experimentally by coupling the measured quantum system to a probe qubit which is measured, and then iterating.

  • Item type:Article
    ID code:19629
    Dates:
    Date
    Event
    May 2008
    Published
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Strathprints Administrator
    Date deposited:27 May 2010 15:21
    Last modified:17 Apr 2024 16:26
    URI:https://strathprints.strath.ac.uk/id/eprint/19629
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