Unitary holonomies by direct degenerate projections

Oi, Daniel K.L. (2014) Unitary holonomies by direct degenerate projections. Physical Review A, 89. 050102(R). ISSN 1050-2947 (https://doi.org/10.1103/PhysRevA.89.050102)

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Abstract

An incomplete quantum measurement can induce non-trivial dynamics between degenerate subspaces, a closed sequence of such projections produces a non-abelian holonomy. We show how to induce unitary evolution on an initial subspace from such finite discrete sequences and also construct a near deterministic repeat-until-success protocol. We also prove necessary and sufficient criteria on the auxiliary Hilbert space dimension required for inducing isometries between between subspaces.

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• Item metadata

  Item type:	Article
  ID code:	47925
  Dates:	Date Event 15 May 2014 Published 5 May 2014 Accepted
  Subjects:	Science > Physics
  Department:	Faculty of Science > Physics
  Depositing user:	Pure Administrator
  Date deposited:	08 May 2014 11:13
  Last modified:	14 Apr 2024 00:28
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/47925