Results 21 to 30 of about 201 (97)
Sampling Noise and Optimized Measurement Distribution in Imaginary‐Time Quantum Dynamics Simulations
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Finite‐shot sampling noise fundamentally limits the accuracy and efficiency of variational quantum algorithms on near‐term quantum devices. Using noisy simulations of variational quantum imaginary‐time evolution as a representative example, an optimized shot‐allocation strategy with a minimum‐shot constraint is shown to improve convergence, enhance ...
Feng Zhang +5 more
wiley +1 more source
Statistical Quantum Mpemba Effect From Griffiths Rare Regions
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.The statistical quantum Mpemba effect emerges robustly in disordered open quantum systems. Griffiths rare regions generate a hierarchy of relaxation times that simple extended Bloch states naturally probe, without requiring fine‐tuned initial states or detailed knowledge of the Liouvillian spectrum.
Stefano Longhi
wiley +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
International Journal of Robust and Nonlinear Control, Volume 36, Issue 12, Page 6304-6317, August 2026.ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva +2 more
wiley +1 more source
Lefschetz decompositions of Kudla–Millson theta functions
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Numerical anisotropy and dispersion are inherent consequences of spatial discretization in finite element modeling of wave propagation. In two‐dimensional problems, these effects manifest not only as direction‐dependent phase and group velocities but also as angularly dependent numerical band gaps that may entirely suppress wave propagation ...
Wiktor Waszkowiak +3 more
wiley +1 more source
Exceptional Light Propagation via Generalized Bulk‐Edge Correspondence
Nanophotonics, Volume 15, Issue 13, 13 July 2026.We show that unlike in electronic systems, localized edge states in topological photonics are governed not only by nontrivial bulk topology, but also by polarization‐dependent light‐line confinement conditions inherent to Maxwell's equations. This fundamentally generalized bulk‐edge correspondence unlocks new regimes of tunable near‐cutoff localization
Heitor da Silva +4 more
wiley +1 more source
Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, Volume 5, Issue 7, July 2026.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
Topological phases and non-Hermitian topology in photonic artificial microstructures. [PDF]
Nanophotonics, 2023 Liu H +5 more
europepmc +1 more source