Unitary holonomies by direct degenerate projections

Research output: Contribution to journalArticle

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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.
LanguageEnglish
Article number050102(R)
Number of pages4
JournalPhysical Review A
Volume89
DOIs
Publication statusPublished - 15 May 2014

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Hilbert space
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Keywords

  • unitary holonomies
  • direct degenerate projections
  • non-abelian holonomy
  • isometries
  • Hilbert dimension

Cite this

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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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Unitary holonomies by direct degenerate projections. / Oi, Daniel K.L.

In: Physical Review A, Vol. 89, 050102(R), 15.05.2014.

Research output: Contribution to journalArticle

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KW - isometries

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