Symmetric informationally complete quantum measurements
METADATA ONLY
Loading...
Author / Producer
Date
2004-06
Publication Type
Journal Article
ETH Bibliography
no
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We consider the existence in arbitrary finite dimensions d of a positive operator valued measure (POVM) comprised of d2 rank-one operators all of whose operator inner products are equal. Such a set is called a “symmetric, informationally complete” POVM (SIC–POVM) and is equivalent to a set of d2 equiangular lines in ℂd. SIC–POVMs are relevant for quantum state tomography, quantum cryptography, and foundational issues in quantum mechanics. We construct SIC–POVMs in dimensions two, three, and four. We further conjecture that a particular kind of group-covariant SIC–POVM exists in arbitrary dimensions, providing numerical results up to dimension 45 to bolster this claim.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
45 (6)
Pages / Article No.
2171 - 2180
Publisher
American Institute of Physics
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Organisational unit
03781 - Renner, Renato / Renner, Renato