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Two constructions of approximately symmetric informationally complete positive operator-valued measures
- Source :
- Journal of Mathematical Physics. 58:062201
- Publication Year :
- 2017
- Publisher :
- AIP Publishing, 2017.
-
Abstract
- Symmetric informationally complete positive operator-valued measures (SIC-POVMs) have many applications in quantum information. However, it is not easy to construct SIC-POVMs and there are only a few known classes of them, and we do not even know whether there exists an infinite class of them, thus constructing approximately symmetric informationally complete positive operator-valued measures (ASIC-POVMs) has its own meaning. In this paper, we use character sums over finite fields to present two constructions of ASIC-POVMs. We show that there are some classes of infinite families of ASIC-POVMs by using some special functions over finite fields.
- Subjects :
- Discrete mathematics
Class (set theory)
Existential quantification
010102 general mathematics
Statistical and Nonlinear Physics
Quantum Physics
Computer Science::Computational Complexity
01 natural sciences
Finite field
Character (mathematics)
Operator (computer programming)
Special functions
0103 physical sciences
Meaning (existential)
0101 mathematics
Quantum information
010306 general physics
Mathematical Physics
Mathematics
Subjects
Details
- ISSN :
- 10897658 and 00222488
- Volume :
- 58
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Physics
- Accession number :
- edsair.doi...........27cfb37497a32afd2111734be13198bd