Minimal Informationally Complete Measurements for Pure States

Details Minimal Informationally Complete Measurements for Pure States Minimal Informationally Complete Measurements for Pure States

2004-04-23

arxiv.org/abs/quant-ph/0404137v1

Foundations of Physics, Volume 35, Issue 12, Dec 2005, pp. 1985 - 2006

Physics

Quantum Physics

2 figures, submitted for the Asher Peres festschrift

Scientific paper

10.1007/s10701-005-8658-z

We consider measurements, described by a positive-operator-valued measure (POVM), whose outcome probabilities determine an arbitrary pure state of a D-dimensional quantum system. We call such a measurement a pure-state informationally complete (PSI-complete) POVM. We show that a measurement with 2D-1 outcomes cannot be PSI-complete, and then we construct a POVM with 2D outcomes that suffices, thus showing that a minimal PSI-complete POVM has 2D outcomes. We also consider PSI-complete POVMs that have only rank-one POVM elements and construct an example with 3D-2 outcomes, which is a generalization of the tetrahedral measurement for a qubit. The question of the minimal number of elements in a rank-one PSI-complete POVM is left open.

Affiliated with

Also associated with

No associations

Rating

Minimal Informationally Complete Measurements for Pure States does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minimal Informationally Complete Measurements for Pure States, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal Informationally Complete Measurements for Pure States will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-2069