Maximum entropy, minimum norm and the inference of entangled states

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Entanglement And Quantum Nonlocality, Information Theory And Communication Theory, Quantum Statistical Mechanics

Scientific paper

We present an approximate inference approach based on the Information Theory and the Pseudoinverse Formalism that allows to obtain all the accessible micro-states of a quantum system compatible with a given information. We assume that the Hamiltonian of the system is unknown and the only available information is restricted to a set of expectation values of noncommuting operators. With this information the density matrix is inferred and, exploring the Null space of the input operators, one can define the physical regions for which the density matrix is positive definite. The method is applied for the inference of entangled quantum states. .

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