scholarly journals Quantum relative entropy shows singlet-triplet coherence is a resource in the radical-pair mechanism of biological magnetic sensing

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
I. K. Kominis
Keyword(s):  
Relative Entropy ◽  
Radical Pair ◽  
Radical Pair Mechanism ◽  
Magnetic Sensing ◽  
Quantum Relative Entropy

Application of the radical pair mechanism to free radicals in organized systems: Can the effects of 60 Hz be predicted from studies under static fields?

1994 ◽  
Vol 15 (6) ◽  
pp. 549-554 ◽  
Author(s):  
J. C. Scaiano ◽  
N. Mohtat ◽  
F. L. Cozens ◽  
J. McLean ◽  
A. Thansandote
Keyword(s):  
Free Radicals ◽  
Radical Pair ◽  
Radical Pair Mechanism

scholarly journals Superadditivity of Quantum Relative Entropy for General States

2018 ◽  
Vol 64 (7) ◽  
pp. 4758-4765 ◽  
Author(s):  
Angela Capel ◽  
Angelo Lucia ◽  
David Perez-Garcia
Keyword(s):  
Relative Entropy ◽  
Quantum Relative Entropy

scholarly journals Could radical pairs play a role in xenon-induced general anesthesia?

2020 ◽  
Author(s):  
Jordan Smith ◽  
Hadi Zadeh Haghighi ◽  
Christoph Simon
Keyword(s):  
General Anesthesia ◽  
Radical Pair ◽  
The Body ◽  
Radical Pair Mechanism ◽  
General Anesthetic ◽  
Radical Pairs ◽  
Naturally Occurring ◽  
Isotopic Dependence ◽  
Anesthetic Potency ◽  
Recombination Dynamics

ABSTRACTUnderstanding the mechanisms underlying anesthesia would be a key step towards understanding consciousness. The process of xenon-induced general anesthesia has been shown to involve electron transfer, and the potency of xenon as a general anesthetic exhibits isotopic dependence. We propose that these observations can be explained by a mechanism in which the xenon nuclear spin influences the recombination dynamics of a naturally occurring radical pair of electrons. We develop a simple model inspired by the body of work on the radical-pair mechanism in cryptochrome in the context of avian magnetoreception, and we show that our model can reproduce the observed isotopic dependence of the general anesthetic potency of xenon in mice. Our results are consistent with the idea that radical pairs of electrons with entangled spins could be important for consciousness.

scholarly journals Environment-induced anisotropy and sensitivity of the radical pair mechanism in the avian compass

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Alejandro Carrillo ◽  
Marcio F. Cornelio ◽  
Marcos C. de Oliveira
Keyword(s):  
Radical Pair ◽  
Radical Pair Mechanism ◽  
Induced Anisotropy

scholarly journals On quantum quasi-relative entropy

2019 ◽  
Vol 31 (07) ◽  
pp. 1950022
Author(s):  
Anna Vershynina
Keyword(s):  
Relative Entropy ◽  
Logarithmic Function ◽  
Operator Inequalities ◽  
Operator Convex Function ◽  
Strong Subadditivity ◽  
Entropy Formula ◽  
Quantum Relative Entropy ◽  
Skew Information ◽  
Explicit Bounds ◽  
Joint Convexity

We consider a quantum quasi-relative entropy [Formula: see text] for an operator [Formula: see text] and an operator convex function [Formula: see text]. We show how to obtain the error bounds for the monotonicity and joint convexity inequalities from the recent results for the [Formula: see text]-divergences (i.e. [Formula: see text]). We also provide an error term for a class of operator inequalities, that generalizes operator strong subadditivity inequality. We apply those results to demonstrate explicit bounds for the logarithmic function, that leads to the quantum relative entropy, and the power function, which gives, in particular, a Wigner–Yanase–Dyson skew information. In particular, we provide the remainder terms for the strong subadditivity inequality, operator strong subadditivity inequality, WYD-type inequalities, and the Cauchy–Schwartz inequality.

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