InterJournal Complex Systems, 29
Status: Accepted
Manuscript Number: [29]
Submission Date: 963011
Quantum information theory of entanglement
Author(s): Nicholas Cerf ,Chris Adami

Subject(s): CX.09

Category: Brief Article

Abstract:

We present a quantum information theory that allows for the consistent description of quantum entanglement. It parallels classical (Shannon) information theory but is based entirely on matrices, rather than probability distributions, for the description of quantum ensembles. We find that quantum conditional entropies can be negative for quantum entangled systems, which leads to a violation of well-known bounds in classical information theory. Such a unified information-theoretic description of classical correlation and quantum entanglement clarifies the link between them: the latter can be viewed as "super-correlation" which can induce classical correlation when considering a ternary or larger system. Furthermore, negative entropy and the associated clarification of entanglement paves the way to a natural, unitary, and causal model of the measurement process, while implying all the well-known results of conventional probabilistic quantum mechanics.

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