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- Title
Some Connections between Frames, Mutually Unbiased Bases, and POVM’s in Quantum Information Theory.
- Authors
Ruskai, Mary Beth
- Abstract
This paper gives a very brief overview of some aspects of quantum information theory, then explains the relationship between a positive operator valued measure (POVM) and a frame. Some special types of POVM’s are defined and conjectures about them shown to be essentially conjectures about the existence of special types of frames. Finally, some connections with quantum channels and separable states are discussed.
- Subjects
QUANTUM theory; INFORMATION theory; POSITIVE operators; VECTOR algebra; MATHEMATICAL research; MATHEMATICAL analysis
- Publication
Acta Applicandae Mathematicae, 2009, Vol 108, Issue 3, p709
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-009-9508-3