TY - UNPB
T1 - Quantum logical entropy: fundamentals and general properties
AU - Tamir, Boaz
AU - Paiva, Ismael L.
AU - Schwartzman-Nowik, Zohar
AU - Cohen, Eliahu
PY - 2022
Y1 - 2022
N2 - 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 this fundamental concept and other related definitions can be applied to the study of quantum systems with the use of 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.
AB - 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 this fundamental concept and other related definitions can be applied to the study of quantum systems with the use of 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.
KW - Quantum Physics (quant-ph)
UR - https://arxiv.org/abs/2108.02726
U2 - 10.1051/fopen/2021005
DO - 10.1051/fopen/2021005
M3 - פרסום מוקדם
VL - 5
T3 - 4open
SP - 2
BT - Quantum logical entropy: fundamentals and general properties
ER -