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)

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.

ORCID iDs

Oi, Daniel K.L. ORCID: https://orcid.org/0000-0003-0965-9509

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• Item metadata

  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:	30 Nov 2024 01:03
  URI:	https://strathprints.strath.ac.uk/id/eprint/19629