Danko D. Georgiev

Published: Dec 26, 2022 by Physical Review A 2022; 106 (6): 062437
Authors: Danko Georgiev, Eliahu Cohen
Subjects: Mathematics, Physics

We apply Feynman's sum-over-histories formalism to interacting bipartite quantum systems and introduce entanglement measures for bipartite quantum histories. Based on the Schmidt decomposition of the matrix comprised of the Feynman propagator complex coefficients, we prove that bipartite quantum histories are entangled if and only if the Schmidt rank of this matrix is larger than 1.

Published: Aug 29, 2022 by Modern Physics Letters B 2022; 36 (22): 2250101
Authors: Danko D. Georgiev, Stanley P. Gudder
Subjects: Mathematics, Physics

We have investigated the partial order between four entanglement measures: concurrence, tangle, entanglement robustness and Schmidt number. We have shown that among those measures, the concurrence and the Schmidt number have the highest and the lowest sensitivity to quantum entanglement, respectively. We have also employed state-dependent entanglement statistics to compute measurable correlations between the outcomes of quantum observables in agreement with the uncertainty principle.

Published: Jul 29, 2022 by Physics Letters A 2022; 448: 128319
Authors: Danko D. Georgiev, James F. Glazebrook
Subjects: Life Science, Mathematics, Medicine, Physics

Macromolecular protein complexes catalyze essential physiological processes that sustain life. Interactions between protein subunits could increase the effective mass of certain peptide groups, thereby compartmentalizing protein α-helices. Excentric barriers, localized onto a single spine in the protein α-helix, are able to reflect or trap three-spine solitons as effectively as concentric barriers with comparable total mass.

Published: Jan 29, 2022 by Chaos, Solitons and Fractals 2022; 155: 111644
Authors: Danko D. Georgiev, James F. Glazebrook
Subjects: Life Science, Mathematics, Medicine, Physics

Protein α-helices provide an ordered biological environment that is conducive to soliton-assisted energy transport. The simulated stochastic quantum dynamics at physiological temperature, T=310 K, revealed that the cooperative action of three amide I exciton quanta ensures soliton lifetime of over 30 ps, during which the amide I energy could be transported along the entire extent of an 18-nm-long protein α-helix.

Published: Jul 14, 2021 by Biosystems 2021; 208: 104474
Authors: Danko D. Georgiev
Subjects: Biomedical Science, Chemistry, Life Science, Physics

We utilize quantum indeterminism to derive a quantitative measure for the amount of free will manifested by the brain cortical network during quantum measurement performed by the surrounding environment upon the neural constituents. Inherent biases in the quantum propensities for alternative physical outcomes provide varying amounts of free will, which can be quantified with the expected information gain from learning the actual course of action chosen by the nervous system.

Published: Jun 08, 2021 by Physical Review A 2021; 103(6): 062211
Authors: Danko Georgiev, Leon Bello, Avishy Carmi, Eliahu Cohen
Subjects: Physics

We develop a method for quantifying the two-particle visibility in bipartite entangled Gaussian states using quantum measurement of a pair of two-particle observables that are compatible with the measured pair of single-particle observables. The method treats the two pairs of one-particle or two-particle observables on equal footing by formally identifying all four observable distributions as rotated marginal distributions of the original two-particle probability distribution.

Published: Apr 29, 2021 by Symmetry 2021; 13(5): 773
Authors: Danko D. Georgiev
Subjects: Biomedical Science, Chemistry, Life Science, Physics

We utilize the Schrödinger equation, together with the Planck–Einstein relation between energy and frequency, in order to determine the appropriate quantum dynamical timescale of conscious processes. Furthermore, with the help of a simple two-qubit toy model we illustrate the importance of non-zero interaction Hamiltonian for the generation of quantum entanglement and manifestation of observable correlations between different measurement outcomes.

Published: Dec 11, 2020 by Progress in Biophysics and Molecular Biology 2020; 158: 16-32
Authors: Danko D. Georgiev
Subjects: Biomedical Science, Life Science, Mathematics, Physics

Consciousness is comprised of unobservable quantum information integrated in quantum brain states, which explains the origin of the inner privacy of conscious experiences and revisits the dynamic timescale of conscious processes to picosecond conformational transitions of neural biomolecules. The observable brain is then an objective construction created from classical bits of information, which are bounded by Holevo's theorem.

Published: Nov 18, 2020 by Advances in Quantum Chemistry 2020; 82: 253-300
Authors: Danko D. Georgiev, James F. Glazebrook
Subjects: Life Science, Mathematics, Medicine, Physics

The essential biological processes that sustain life are catalyzed by protein nano-engines, which maintain living systems in far-from-equilibrium ordered states. To investigate energetic processes in proteins, we have analyzed the system of generalized Davydov equations that govern the quantum dynamics of multiple amide I exciton quanta propagating along the hydrogen-bonded peptide groups in α-helices.

Published: Aug 25, 2020 by Brain Research 2020; 1748: 147069
Authors: Danko D. Georgiev, Stefan K. Kolev, Eliahu Cohen, James F. Glazebrook
Subjects: Biomedical Science, Life Science, Mathematics, Medicine, Physics

Physical estimates of the total number and type of ions involved in neuronal electric spiking based on the obtained morphometric data, combined with energetics of neurotransmitter release and signaling fueled by glucose consumed by the active brain, support highly efficient cerebral computation performed at the thermodynamically allowed Landauer limit for implementation of irreversible logical operations.