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- Viacheslav P Belavkin, Giacomo Mauro D 'ariano, Maxim Raginsky
- 2004

We define and study a fidelity criterion for quantum channels, which we term the minimax fidelity, through a noncommutative generalization of maximal Hellinger distance between two positive kernels in classical probability theory. Like other known fideli-ties for quantum channels, the minimax fidelity is well-defined for channels between finite-dimensional… (More)

In this paper we first introduce the Fock-Guichardet formalism for the quantum stochastic (QS) integration, then the four fundamental processes of the dynamics are introduced in the canonical basis as the operator-valued measures , on a space-time σ-field F X , of the QS integration. Then rigorous analysis of the QS integrals is carried out, and continuity… (More)

The pure quantum entanglement is generalized to the case of mixed compound states on an operator algebra to include the classical and quantum encodings as particular cases. The true quantum entanglements are characterized by quantum couplings which are described as transpose-CP, but not Completely Positive (CP), trace-normalized linear positive maps of the… (More)

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