109 citations · 238 across the 15 of their papers we have counts for
15 papers
Quantum Circuit and Tensor Network Implementation of the 2D Acoustic Wave Equation
Tamas Nemeth, Gabor Vattay
We present a cohesive framework for simulating seismic wave propagation utilizing quantum computing paradigms and their classical tensor network equivalents. We detail a quantum ci…
Fundamental Relation between Conductance of Biomolecules and the Fukui Function
Gabor Vattay
The finite-temperature conductance of a molecule coupled to metallic leads is derived entirely within the framework of density functional theory (DFT) and its time-dependent extens…
Reply to "Interpreting Bohm quantum potentials in `Computing quantum waves exactly from classical action'"
Gabor Vattay
The recent arXiv posting arXiv:2605.20443 by Lohmiller and Slotine attempts to address the omission of the Bohm quantum potential in their proposed exact equivalence between classi…
Comment on `On computing quantum waves exactly from classical action'
Gabor Vattay
A recent article by Lohmiller \& Slotine (Proc.\ R.\ Soc.\ A \textbf{482}: 20250413) claims that the Schrödinger equation can be solved exactly using only classical least action an…
Transition from Statistical to Hardware-Limited Scaling in Photonic Quantum State Reconstruction
Attila Baumann, Zsolt Kis, János Koltai +1
The theoretical efficiency of classical shadow tomography is predicated on a perfect Haar-random unitary ensemble, yet this mathematical ideal remains physically unattainable in ne…
Quantum Signatures of Strange Attractors
Bence Dárdai, Gábor Vattay
In classical mechanics, driven systems with dissipation often exhibit complex, fractal dynamics known as strange attractors. This paper addresses the fundamental question of how su…
Computation of Biological Conductance with Liouville Quantum Master Equation
Eszter Papp, Gabor Vattay
Recent experiments have revealed that single proteins can display high conductivity, which stays finite for low temperatures, decays slowly with distance, and exhibits a rich spati…
Holographic nature of critical quantum states of proteins
Eszter Papp, Gabor Vattay
The Anderson metal-insulator transition is a fundamental phenomenon in condensed matter physics, describing the transition from a conducting (metallic) to a non-conducting (insulat…
Spectral Determinant Method for Interacting N-body Systems Including Impurities
Z. Á. Németh, J. Cserti, G. Vattay
A general expression for the Green's function of a system of particles (bosons/fermions) interacting by contact potentials, including impurities with Dirac-delta type potential…
Spectrum of stochastic evolution operators: Local matrix representation approach
Predrag Cvitanovic, Niels Sondergaard, Gergely Palla +2
A matrix representation of the evolution operator associated with a nonlinear stochastic flow with additive noise is used to compute its spectrum. In the weak noise limit a perturb…
Trace formulas for stochastic evolution operators: Smooth conjugation method
Predrag Cvitanovic, C. P. Dettmann, Ronnie Mainieri +1
The trace formula for the evolution operator associated with nonlinear stochastic flows with weak additive noise is cast in the path integral formalism. We integrate over the neigh…
Periodic Orbit Quantization beyond Semiclassics
Gabor Vattay, Per E. Rosenqvist
A quantum generalization of the semiclassical theory of Gutzwiller is given. The new formulation leads to systematic orbit-by-orbit inclusion of higher contributions to the…
Periodic Orbit Theory of Diffraction
Gábor Vattay, Andreas Wirzba, Per E. Rosenqvist
An extension of the Gutzwiller trace formula is given that includes diffraction effects due to hard wall scatterers or other singularities. The new trace formula involves periodic…
Entire Fredholm determinants for Evaluation of Semi-classical and Thermodynamical Spectra
Predrag Cvitanović, Gábor Vattay
Proofs that Fredholm determinants of transfer operators for hyperbolic flows are entire can be extended to a large new class of multiplicative evolution operators. We construct suc…
Transition from Poissonian to GOE level statistics in a modified Artin's billiard
A. Csordás, R. Graham, P. Szépfalusy +1
One wall of Artin's billiard on the Poincaré half plane is replaced by a one-parameter () family of nongeodetic walls. A brief description of the classical phase space of this…