In Bandelt and Dress AdΒ¨. in Math. 92 1992 , 47α105 the concept of a coherent decomposition of a finite metric is introduced and it is conjectured that every such metric can be decomposed into a coherent sum of prime metrics in a unique way. In this note we give a counterexample to this conjecture.
On the Decompositions of a Quantum State
β Scribed by G. Cassinelli; E. De Vito; A. Levrero
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 213 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
We classify all the decompositions of a quantum state as a weighted sum of one dimensional projectors. In particular we describe explicitly the set of irreducible decompositions. The physical interest in this problem rests on the possibility of interpreting the decomposition in terms of a classical mixture.
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