scholarly journals Universality of Schmidt decomposition and particle identity

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Stefania Sciara ◽  
Rosario Lo Franco ◽  
Giuseppe Compagno
Keyword(s):  
Schmidt Decomposition ◽  
Particle Identity

scholarly journals Quantum Information in Neural Systems

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 773
Author(s):  
Danko D. Georgiev
Keyword(s):  
Quantum Entanglement ◽  
Quantum Coherence ◽  
Quantum Physics ◽  
Quantitative Measure ◽  
Quantum States ◽  
Quantum Evolution ◽  
Einstein Relation ◽  
Schmidt Decomposition ◽  
The Central Nervous System ◽  
The Individual

Identifying the physiological processes in the central nervous system that underlie our conscious experiences has been at the forefront of cognitive neuroscience. While the principles of classical physics were long found to be unaccommodating for a causally effective consciousness, the inherent indeterminism of quantum physics, together with its characteristic dichotomy between quantum states and quantum observables, provides a fertile ground for the physical modeling of consciousness. Here, 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. Employing a quantitative measure of entanglement based on Schmidt decomposition, we show that quantum evolution governed only by internal Hamiltonians for the individual quantum subsystems preserves quantum coherence of separable initial quantum states, but eliminates the possibility of any interaction and quantum entanglement. The presence of non-zero interaction Hamiltonian, however, allows for decoherence of the individual quantum subsystems along with their mutual interaction and quantum entanglement. The presented results show that quantum coherence of individual subsystems cannot be used for cognitive binding because it is a physical mechanism that leads to separability and non-interaction. In contrast, quantum interactions with their associated decoherence of individual subsystems are instrumental for dynamical changes in the quantum entanglement of the composite quantum state vector and manifested correlations of different observable outcomes. Thus, fast decoherence timescales could assist cognitive binding through quantum entanglement across extensive neural networks in the brain cortex.

Schmidt decomposition in the interaction of a three-level atom and a quantized field

2018 ◽  
Vol 72 (10) ◽  
Author(s):  
Jorge A. Anaya-Contreras ◽  
Arturo Zúñiga-Segundo ◽  
Aldo Espinosa-Zúñiga ◽  
Francisco Soto-Eguibar ◽  
Héctor M. Moya-Cessa
Keyword(s):  
Schmidt Decomposition ◽  
Level Atom ◽  
Quantized Field

scholarly journals Infectious particle identity determines dissemination and disease outcome for the inhaled human fungal pathogen Cryptococcus

2019 ◽  
Vol 15 (6) ◽  
pp. e1007777 ◽  
Author(s):  
Naomi M. Walsh ◽  
Michael R. Botts ◽  
Andrew J. McDermott ◽  
Sébastien C. Ortiz ◽  
Marcel Wüthrich ◽  
...  
Keyword(s):  
Fungal Pathogen ◽  
Disease Outcome ◽  
Infectious Particle ◽  
Human Fungal Pathogen ◽  
Particle Identity

VARIOUS MEASURING PROPERTIES FOR THE BIPARTITE CONTINUOUS ENTANGLED STATE

2008 ◽  
Vol 22 (15) ◽  
pp. 1463-1470
Author(s):  
TANG-KUN LIU ◽  
HONG-YI FAN
Keyword(s):  
Quantum Entanglement ◽  
Similar Type ◽  
Entangled State ◽  
Schmidt Decomposition ◽  
Measurement Results ◽  
Measurement Basis

We have calculated different kinds of measurement results for the bipartite continuous entangled state |η〉. It is found that the second particle 2 simultaneously collapses to the similar type state to the measurement basis performed on the particle 1, which manifestly exhibits quantum entanglement. The calculation is greatly simplified by virtue of the the Schmidt decomposition of |η〉 and the properties of |η〉.

scholarly journals Schmidt-Correlated States, Weak Schmidt Decomposition and Generalized Bell Bases Related to Hadamard Matrices

2014 ◽  
Vol 74 (1) ◽  
pp. 89-103 ◽  
Author(s):  
Bobo Hua ◽  
Shaoming Fei ◽  
Jürgen Jost ◽  
Xianqing Li-Jost
Keyword(s):  
Hadamard Matrices ◽  
Schmidt Decomposition

QUANTUM STATE OF JOSEPHSON JUNCTION AS COOPER PAIR NUMBER-PHASE ENTANGLED STATE IN THE BOSONIC OPERATOR JOSEPHSON MODEL

2007 ◽  
Vol 21 (21) ◽  
pp. 3697-3706 ◽  
Author(s):  
HONG-YI FAN ◽  
JI-SUO WANG ◽  
XIANG-GUO MENG
Keyword(s):  
Josephson Junction ◽  
Quantum State ◽  
Cooper Pair ◽  
Geometric Distribution ◽  
Entangled State ◽  
Phase Operator ◽  
Schmidt Decomposition ◽  
Bosonic Operator ◽  
Pair Number

Based on Feynman's explanation about Cooper pair that "a bound pair acts as a Bose particle" and the bosonic operator Hamiltonian of the Josephson junction, we realize that the quantum state of the Josephson junction is a Cooper pair number-phase entangled state constructed by the phase operator across the junction. Its Schmidt decomposition is derived. The Cooper pair number-phase squeezed state's projection onto this entangled state leads to a geometric distribution.

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