On PSI-complete and PSIR-complete measurements

Preprint

23 July 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0407078

Abstract

I construct a POVM which has 2d rank-one elements and which is informationally complete for generic pure states in d dimensions, thus confirming a conjecture made by Flammia, Silberfarb, and Caves (quant-ph/0404137). I show that if a rank-one POVM is required to be informationally complete for all pure states in d dimensions, it must have at least 3d-2 elements. I also show that, in a POVM which is informationally complete for all pure states in d dimensions, for any vector there must be at least 2d-1 POVM elements which do not annihilate that vector.

Keywords

INFORMATIONALLY COMPLETE
PSIR COMPLETE
PSI COMPLETE
PURE STATES
2D RANK
CAVES
POVM

All Related Versions

Version 1, 2004-07-11, ArXiv
Version 2, 2004-07-23, ArXiv
Published version: Physical Review A, 70 (5), 052107.

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