The uniform invariant approximation property for compact groups
, 2017 In this short note we give a proof of the refined version of the uniform invariant approximation property for compact (non-commutative) groups following the Bourgain's ...
Ohrysko, Przemysław
core +1 more source
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
Fully Quantum Perturbative Description of Correlated Stokes–Anti‐Stokes Scattering
physica status solidi (b), EarlyView.The generation of Stokes‐anti‐Stokes (SaS) photon pairs with quantum correlations, like entanglement, has been developing recently, but a proper theoretical ground was missing. A fully quantum perturbative theory is provided to describe the four‐wave mixing contribution to the correlated SaS scattering, in which both matter and electromagnetic field ...
Raul Corrêa +3 more
wiley +1 more source
Parastrophe of Some Inverse Properties in Quasigroups
MathematicsThis work investigates the relationship between the parastrophes of some notion of inverses in quasigroups. Our findings reveal that, of the 5 parastrophes of LIP quasigroup, (23) parastrophe is a LIP quasigroup, (12) and (132) parastrophes are RIP ...
Yakub T. Oyebo +3 more
doaj +1 more source
Study of Jordan quasigroups and their construction
Journal of Taibah University for Science, 2018 Jordan quasigroups are commutative quasigroups satisfying the identity $x^{2}(yx)=(x^{2}y)x$. In this paper we discuss the basic properties of Jordan quasigroups and prove that (i) every commutative idempotent quasigroup is Jordan quasigroup, (ii) if a ...
Amir Khan +3 more
doaj +1 more source
Unveiling Hidden Features of Strongly Correlated Quantum Systems Through a Complex‐Network Analysis
Advanced Quantum Technologies, EarlyView.By applying complex network theory, we report a fundamental and previously unobserved phenomenon in the finite‐size Kitaev model: a singular point at which uniform, nonzero entanglement emerges among all fermion pairs, forming a complete entanglement network.
Guillem Llodrà +2 more
wiley +1 more source
Space‐Efficient Logical Qubit Architecture with a Bus for Magic State Consumption
Advanced Quantum Technologies, EarlyView.This paper proposes a logical qubit architecture, considering the consumption of magic states. By constructing the patch to the magic state using the repetition code and data qubits using the surface code, the proposed architecture minimizes the number of qubits, referred to as the space cost.
Yujin Kang, Youshin Chung, Jun Heo
wiley +1 more source
The determinant, spectral properties, and inverse of a tridiagonal $k$-Toeplitz matrix over a commutative ring [PDF]
, 2021 Jose Brox, Helena Albuquerque
openalex +1 more source
On the Analytic Structure of Commutative Nilmanifolds [PDF]
, 2014 In the classification theorems of Vinberg and Yakimova for commutative nilmanifolds, the relevant nilpotent groups have a very surprising analytic property.
Wolf, Joseph A.
core
Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects
Advanced Quantum Technologies, EarlyView.Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold +3 more
wiley +1 more source