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.

ORCID iDs

Oi, Daniel K.L. ORCID logoORCID: https://orcid.org/0000-0003-0965-9509;
CORE (COnnecting REpositories)