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Thouless–Anderson–Palmer Equations for the Multi-species Sherrington–Kirkpatrick Model
We prove the Thouless–Anderson–Palmer (TAP) equations for the local magnetization in the multi-species Sherrington–Kirkpatrick (MSK) spin glass...
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Synergy between noisy quantum computers and scalable classical deep learning for quantum error mitigation
We investigate the potential of combining the computational power of noisy quantum computers and of classical scalable convolutional neural networks...
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Tighter monogamy relations of the \(S^{t}\) and \(T^{t}_q\)-entropy entanglement measures based on dual entropy
Monogamy of entanglement is the fundamental property of quantum systems. By using two new entanglement measures based on dual entropy, the
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A quantum Bayes’ rule and related inference
A quantum analogue of Bayesian inference is considered here. Quantum state-update rule associated with instrument is elected as a quantum Bayes’...
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Trade-off between bagging and boosting for quantum separability-entanglement classification
Certifying whether an arbitrary quantum system is entangled or not, is, in general, an NP-hard problem. Though various necessary and sufficient...
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Unexpected averages of mixing matrices
The (standard) average mixing matrix of a continuous-time quantum walk is computed by taking the expected value of the mixing matrices of the walk...
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Revealing the three-dimensional structure of microbunched plasma-wakefield-accelerated electron beams
Plasma wakefield accelerators use tabletop equipment to produce relativistic femtosecond electron bunches. Optical and X-ray diagnostics have...
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Charge-parity switching effects and optimisation of transmon-qubit design parameters
Enhancing the performance of noisy quantum processors requires improving our understanding of error mechanisms and the ways to overcome them. A...
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Quantization of Virtual Grothendieck Rings and Their Structure Including Quantum Cluster Algebras
The quantum Grothendieck ring of a certain category of finite-dimensional modules over a quantum loop algebra associated with a complex...
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Painlevé Kernels and Surface Defects at Strong Coupling
It is well established that the spectral analysis of canonically quantized four-dimensional Seiberg–Witten curves can be systematically studied via...
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The Emergence of Order in Many Element Systems
Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits....
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The Radiation Field, at the Origin of the Quantum Canonical Operators
We show that the electromagnetic radiation field, conventionally introduced as a perturbation in quantum mechanics, is actually at the basis of the...
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Derivation of Coupled KPZ Equations from Interacting Diffusions Driven by a Single-Site Potential
The Kardar-Parisi-Zhang (KPZ) equation is a stochastic partial differential equation which is derived from various microscopic models, and to...
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Klein-Gordon Oscillator In Dynamical Noncommutative Space
This paper aims to investigate the two-dimensional Klein-Gordon oscillator system in a dynamical noncommutative (DNC) space. We address the deformed...
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Exact Solutions of Schrödinger Equation, Thermodynamic Properties and Expectation values of Pseudoharmonic Oscillator in de Sitter and Anti de Sitter spacetime
In this work, the radial Schrödinger equation with pseudoharmonic oscillator is first expressed in both de Sitter and Anti de Sitter spaces time...
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S-move matrix in the NS sector of N = 1 super Liouville field theory
In this paper we calculate matrix of modular transformations of the one-point toric conformal blocks in the Neveu-Schwarz sector of N = 1 super...
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The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons
We systematically investigate the electromagnetic form factors of heavy-light pseudo-scalar and vector mesons within the...