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Maximum Quantum Entropy Method

Strongly Correlated Electrons 2018-11-05 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1804.01683,
  title  = {Maximum Quantum Entropy Method},
  author = {Jae-Hoon Sim and Myung Joon Han},
  journal= {arXiv preprint arXiv:1804.01683},
  year   = {2018}
}