Coherence, Squeezing and Entanglement: An Example of Peaceful Coexistence

Górska, K.; Horzela, A.; Szafraniec, Franciszek Hugon

doi:10.1007/978-3-319-76732-1_5

Cited by 6 publications

(6 citation statements)

References 47 publications

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“…However, recently, this has also been detected for entangled pairs of phonon modes in two macroscopic crystals of diamonds spatially separated at room temperature . A similar phenomenon to the latter one also appears to be realized in our experiments, in which quantum entanglement with a fixed and coherent state is maintained by the generator and resonator of the system used . Interestingly, transmission and reception of information at the subquantum level (the conversion of information into energy) and quantum level turns out to be a general feature of matter because matter shows a wide-range reception of electromagnetic information, especially in polar dielectrics and semiconductors. − In this context, the role of phonon or vibrational resonance that has been observed (e.g., in ref ) is not well recognized.…”

Section: Introductionsupporting

confidence: 84%

Influence of Water Polarization Caused by Phonon Resonance on Catalytic Activity of Enolase

Danielewicz

Wandzel²,

Beznosiuk³

et al. 2021

ACS Omega

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Enolase is a conservative protein. Its cellular enzymatic activity catalyzes the conversion of 2-phospho-d-glycerate (2-PGA) to a phosphoenolpyruvate (PEP) product in the glycolysis pathway. This enzyme also has a multifunctional nature participating in several biological processes. This work aims to determine the effect of water polarization on the catalytic activity of enolase. The experiments have been set based on the concept that water, a polar dielectric, may undergo the phenomenon of electric polarization, decreasing its configurational and vibrational entropy. Prior to the reaction, the 2-PGA substrate was incubated for 5 h in the glass cuvette with an attached chip-inductor. The latter device was designed to transfer quantum information about a given quantum state from the quantum state generator to water by a phonon resonance. Then, such substrate samples preincubated with the chip-inductor were removed every hour in a separate quartz cuvette with the enzyme to determine its catalytic activity. The influence of the chip-inductor on the preincubated substrate resulted in an increase in the catalytic activity of enolase by 30% compared to the control substrate, not preincubated with the chip-inductor. This suggests that the catalytic activity of the enzyme is augmented when the substrate was primed by chip-inductors. In another kind of experiment, wherein enolase was exposed to methylglyoxal modification, the catalytic activity of the enzyme dropped to 71.7%, while the same enzyme glycated with methylglyoxal primed by chip-inductors restored its activity by 8.4%. This shows the protective effect of chip-inductors on enolase activity despite the harmful effect of methylglyoxal on the protein.

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Section: Introductionsupporting

confidence: 84%

Influence of Water Polarization Caused by Phonon Resonance on Catalytic Activity of Enolase

Danielewicz

Wandzel²,

Beznosiuk³

et al. 2021

ACS Omega

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“…Apart from this direct statistical mechanics interpretation as a Coulomb gas, further applications of these point processes include dissipative quantum maps [13], dynamical aspects of neural networks [14], properties of the quantum Hall effect [15] and quantum field theories with chemical potential [4,5,6]. In quantum optics the Bergman kernel of planar Hermite polynomials plays an important role in the construction of coherent and squeezed states [16]. Notably, in the symplectic symmetry class, that will be our focus here, there is a map from the symplectic Ginibre ensemble to disordered non-Hermitian Hamiltonians in an imaginary magnetic field [17].…”

Section: Introductionmentioning

confidence: 99%

Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels

Akemann,

Ebke,

Parra

2021

Preprint

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Non-Hermitian random matrices with symplectic symmetry provide examples for Pfaffian point processes in the complex plane. These point processes are characterised by a matrix valued kernel of skew-orthogonal polynomials. We develop their theory in providing an explicit construction of skeworthogonal polynomials in terms of orthogonal polynomials that satisfy a three-term recurrence relation, for general weight functions in the complex plane. New examples for symplectic ensembles are provided, based on recent developments in orthogonal polynomials on planar domains or curves in the complex plane. Furthermore, Bergman-like kernels of skew-orthogonal Hermite and Laguerre polynomials are derived, from which the conjectured universality of the elliptic symplectic Ginibre ensemble and its chiral partner follow in the limit of strong non-Hermiticity at the origin. A Christoffel perturbation of skew-orthogonal polynomials as it appears in applications to quantum field theory is provided. profiting from randomness and low regularity in analysis, stochastics and their applications" (G.A. and I.P.), IRTG2235 "Searching for the regular in the irregular: Analysis of singular and random systems" (M.E.) and by the grant DAAD-CONICYT/Becas Chile, 2016/91609937 (I.P.) is gratefully acknowledged. We thank Boris Khoruzhenko for useful discussions and Sung-Soo Byun for discussions and many useful comments on this manuscript.

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“…Note that the squeezed states involved here are labelled by two complex parameters (see Equation ( 2 )) yet they are elements of a one-mode Fock space spanned by eigenstates

of the number operator for one-mode photons. They should not be confused with bipartite elements of a two-mode Fock Hilbert space spanned by two-mode eigenstates

, see for instance [ 30 , 31 ].…”

Section: Squeezed Coherent States From Holomorphic Hermite Polynomialsmentioning

confidence: 99%

Helstrom Bound for Squeezed Coherent States in Binary Communication

Curado

Faci

Gazeau

et al. 2022

Entropy

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In quantum information processing, using a receiver device to differentiate between two non-orthogonal states leads to a quantum error probability. The minimum possible error is known as the Helstrom bound. In this work, we study the conditions for state discrimination using an alphabet of squeezed coherent states and compare them with conditions using the Glauber-Sudarshan, i.e., standard, coherent states.

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Coherence, Squeezing and Entanglement: An Example of Peaceful Coexistence

Cited by 6 publications

References 47 publications

Influence of Water Polarization Caused by Phonon Resonance on Catalytic Activity of Enolase

Influence of Water Polarization Caused by Phonon Resonance on Catalytic Activity of Enolase

Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels

Helstrom Bound for Squeezed Coherent States in Binary Communication

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