Results 41 to 50 of about 136 (125)

Quantum Time‐Marching Algorithms for Solving Linear Transport Problems Including Boundary Conditions

International Journal for Numerical Methods in Engineering, Volume 127, Issue 8, 30 April 2026.
ABSTRACT This article presents the first complete application of a quantum time‐marching algorithm for simulating multidimensional linear transport phenomena with arbitrary boundaries, whereby the success probabilities are problem intrinsic. The method adapts the linear combination of unitaries algorithm to block encode the diffusive dynamics, while ...
Sergio Bengoechea, Paul Over, Thomas Rung   +2 more
wiley   +1 more source

Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone, Alessandro Michelangeli, Diego Noja   +2 more
wiley   +1 more source

Disentanglement by Deranking and by Suppression of Correlation

Advanced Quantum Technologies, Volume 9, Issue 3, March 2026.
ABSTRACT The spontaneous disentanglement hypothesis is motivated by some outstanding issues in standard quantum mechanics, including the problem of quantum measurement. The current study compares between some possible methods that can be used to implement the hypothesis.
Eyal Buks
wiley   +1 more source

On quantum ergodicity for higher‐dimensional cat maps modulo prime powers

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract A discrete model of quantum ergodicity of linear maps generated by symplectic matrices A∈Sp(2d,Z)$A \in \operatorname{Sp}(2d,{\mathbb {Z}})$ modulo an integer N⩾1$N\geqslant 1$, has been studied for d=1$d=1$ and almost all N$N$ by Kurlberg and Rudnick (2001, Comm. Math. Phys., 222, 201–227).
Subham Bhakta, Igor E. Shparlinski
wiley   +1 more source

Scattering theory for difference equations with operator coefficients

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 more
doaj   +1 more source

Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator

International Journal for Numerical Methods in Engineering, Volume 127, Issue 4, 28 February 2026.
ABSTRACT This study introduces a framework for learning a low‐depth surrogate quantum circuit (SQC) that approximates the nonlinear, dissipative, and hence non‐unitary Bhatnagar–Gross–Krook (BGK) collision operator in the lattice Boltzmann method (LBM) for the D2Q9$$ {D}_2{Q}_9 $$ lattice.
Monica Lăcătuş, Matthias Möller
wiley   +1 more source

Unitarily invariant norms related to factors

, 2007
42 pages, the introduction is rewritten, minor ...
Fang, Junsheng, Hadwin, Don
openaire   +2 more sources

Multiplier Operators and Invariant Subspace Structures in Complex‐Valued Harmonic Function Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we characterize subspaces of complex‐valued harmonic functions in the unit disk in terms of prescribed dilatations, study their pointwise multiplier algebras, and investigate multipliers and invariant subspaces on the harmonic Hardy space. Motivated by the fact that the pointwise product of harmonic functions is, in general, not harmonic,
Ayantu Guteta Fite, Hunduma Legesse Geleta, Ding-Xuan Zhou   +2 more
wiley   +1 more source

AI‐Enhanced Signal Detection and Channel Estimation for Beyond 5G and 6G Wireless Networks

Transactions on Emerging Telecommunications Technologies, Volume 36, Issue 12, December 2025.
This paper introduces deep learning‐based methods for channel estimation and signal detection in ma‐MIMO systems, significantly improving performance. FF‐PCNet enhances channel estimation with 40.2% lower error, and LSTM‐DetNet and FF‐DetNet signal detection methods, which achieve superior signal detection with up to 99.993% SER performance and reduced
Muhammad Yunis Daha, Bibin Babu, Rizwan Qureshi, Muhammad Usman Hadi   +3 more
wiley   +1 more source