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Derivation of a Generalized Quasi-Geostrophic Approximation for Inviscid Flows in a Channel Domain: The Fast Waves Correction
This paper is devoted to investigating the rotating Boussinesq equations of inviscid, incompressible flows with both fast Rossby waves and fast...
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The Cubic Szegő Equation on the Real Line: Explicit Formula and Well-Posedness on the Hardy Class
We establish an explicit formula for the solution of the cubic Szegő equation on the real line. Using this formula, we prove that the evolution flow...
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Bordism Invariants of Colored Links and Topologically Protected Tricolorings
We construct invariants of colored links using equivariant bordism groups of Conner and Floyd. We employ this bordism invariant to find the first...
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Temporal Correlation in the Inverse-Gamma Polymer
Understanding the decay of correlations in time for (1+1)-dimensional polymer models in the KPZ universality class has been a challenging topic....
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Can quantum Rabi model with \({\varvec{A}}^\textbf{2}\)-term avoid no-go theorem and make quantum simulation of mass-enhancement in SUSY breaking?
We study the model of a mass enhancement in the supersymmetric quantum mechanics. This model is so simple that it may be implemented as a quantum...
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On the effectiveness of Bayesian discrete feedback for quantum information reclaiming
We consider discrete time feedback aimed at reclaiming quantum information after a channel action. We compare Bayesian and Markovian strategies. We...
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Spectral Solutions of Specific Singular Differential Equations Using A Unified Spectral Galerkin-Collocation Algorithm
This paper presents a novel numerical approach to addressing three types of high-order singular boundary value problems. We introduce and consider...
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Global dynamics of a quantum Cournot duopoly with quadratic costs and relative profit maximization
To be more realistic, this paper considers the pursuit of maximizing relative profits by firms, establishes a Cournot duopoly game model with quantum...
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A graphical language for quantum protocols based on the category of cobordisms
As shown by Abramsky and Coecke, quantum mechanics can be studied in terms of dagger compact closed categories with biproducts. Within this...
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An order relation between eigenvalues and symplectic eigenvalues of a class of infinite-dimensional operators
In this article, we obtain some results in the direction of “infinite-dimensional symplectic spectral theory”. We prove an inequality between the...
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Exploiting OFDM method for quantum communication
Orthogonal frequency-division multiplexing (OFDM) is a crucial modulation method used in contemporary digital communication systems for its...
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Affine connection, quantum theory and new fields
In a few recent manuscripts, we used the affine connection to introduce two massless scalar fields in the Einstein-Palatini action. These fields lead...
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Finding eigenvectors with a quantum variational algorithm
This paper presents a hybrid variational quantum algorithm that finds a random eigenvector of a unitary matrix with a known quantum circuit. The...
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Quantum error correction for heavy hexagonal code using deep reinforcement learning with policy reuse
Quantum error correction techniques are important for implementing fault-tolerant quantum computation, and topological quantum error correcting codes...
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Left-invariant almost complex structures on the higher dimensional Kodaira–Thurston manifolds
We develop computational techniques which allow us to calculate the Kodaira dimension as well as the dimension of spaces of Dolbeault harmonic forms...
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Early-stage disentanglement out of thermal equilibrium
In this paper, we examine how finite time disentanglement can be manipulated for the quantum system out of thermal equilibrium. To this aim, we...
