Disentanglement by Deranking and by Suppression of Correlation
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
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
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 +3 more
wiley +1 more source
Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
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
Singular value inequalities for generalized anticommutators
We shown among other inequalities that if A 1 $A_{1}$ , B 1 $B_{1}$ , X 1 $X_{1}$ , and Y 1 $Y_{1}$ are n × n $n\times n$ complex matrices such that A 1 $A_{1}$ and B 1 $B_{1}$ are positive semidefinite, then s j ( Y 1 A 1 X 1 − X 1 B 1 Y 1 ) ≤ s j ( Z ⊕
Manal Al-Labadi +2 more
doaj +1 more source
Generalization of some unitarily invariant norm inequalities for matrices [PDF]
Ahmad Al-Natoor +3 more
openalex +1 more source
AI‐Enhanced Signal Detection and Channel Estimation for Beyond 5G and 6G Wireless Networks
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 +3 more
wiley +1 more source
A Mirsky-Type Unitarily Invariant Norm Inequality for Dual Quaternion Matrices and Its Applications
In this paper, we present a Mirsky-type unitarily invariant norm inequality for dual quaternion matrices, which can be regarded as a singular value perturbation theorem for dual quaternion matrices.
Ping Zhong, Jin Zhong
core +1 more source
On some inequalities related to Heinz means for unitarily invariant norms [PDF]
Wushu ng Liu, Xing ai Hu, Jianp ng Shi
openalex +1 more source
Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley +1 more source

