publication . Preprint . Article . 2018

Maximum Quantum Entropy Method

Jae-Hoon Sim; Myung Joon Han;
Open Access English
  • Published: 01 Nov 2018
Maximum entropy method for analytic continuation is extended by introducing quantum relative entropy. This new method is formulated in terms of matrix-valued functions and therefore invariant under arbitrary unitary transformation of input matrix. As a result, the continuation of off-diagonal elements becomes straightforward. Without introducing any further ambiguity, the Bayesian probabilistic interpretation is maintained just as in the conventional maximum entropy method. The applications of our generalized formalism to a model spectrum and a real material demonstrate its usefulness and superiority.
free text keywords: Condensed Matter - Strongly Correlated Electrons, Physics, Von Neumann entropy, Matrix (mathematics), Probabilistic logic, Quantum relative entropy, Applied mathematics, Analytic continuation, Invariant (mathematics), Continuation, Condensed matter physics, Unitary transformation
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