Unitary Holonomies by Direct Degenerate Projections
Quantum Physics
2014-05-08 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1402.1104,
title = {Unitary Holonomies by Direct Degenerate Projections},
author = {Daniel Kuan Li Oi},
journal= {arXiv preprint arXiv:1402.1104},
year = {2014}
}
Comments
4 pages, 2 figures. Author post-print version with rewritten qubit gate example, modified figure, and updated conclusion