Markov property and strong additivity of von Neumann entropy for graded quantum systems

Details Markov property and strong additivity of von Neumann entropy for graded quantum systems Markov property and strong additivity of von Neumann entropy for graded quantum systems

2005-10-26

arxiv.org/abs/quant-ph/0510197v3

Physics

Quantum Physics

14 pages, to appear J. Math. Phys

Scientific paper

10.1063/1.2176911

It is easy to verify the equivalence of the quantum Markov property and the strong additivity of entropy for graded quantum systems as well. However, the structure of Markov states for graded systems is different from that for tensor product systems. For three-composed graded systems there are U(1)-gauge invariant Markov states whose restriction to the pair of marginal subsystems is non-separable.

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