Quantum logical entropy: fundamentals and general properties
- URL: http://arxiv.org/abs/2108.02726v1
- Date: Thu, 5 Aug 2021 16:47:22 GMT
- Title: Quantum logical entropy: fundamentals and general properties
- Authors: Boaz Tamir, Ismael L. Paiva, Zohar Schwartzman-Nowik, Eliahu Cohen
- Abstract summary: We introduce the quantum logical entropy to study quantum systems.
We prove several properties of this entropy for generic density matrices.
We extend the notion of quantum logical entropy to post-selected systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Logical entropy gives a measure, in the sense of measure theory, of the
distinctions of a given partition of a set, an idea that can be naturally
generalized to classical probability distributions. Here, we analyze how
fundamental concepts of this entropy and other related definitions can be
applied to the study of quantum systems, leading to the introduction of the
quantum logical entropy. Moreover, we prove several properties of this entropy
for generic density matrices that may be relevant to various areas of quantum
mechanics and quantum information. Furthermore, we extend the notion of quantum
logical entropy to post-selected systems.
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