Exploring Imprecise Probabilities in Quantum Algorithms with Possibility Theory
ABSTRACT Quantum computing utilizes the underlying principles of quantum mechanics to perform computations with unmatched performance capabilities. Rather than using classical bits, it operates on qubits, which can exist in superposition and entangled states. This enables the solution of problems that are considered intractable for classical computers.
Jan Schneider +2 more
wiley +1 more source
Matrix-Product Constructions for Hermitian Self-Orthogonal Codes [PDF]
Somphong Jitman, Todsapol Mankean
openalex +1 more source
Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
A Clarification on Quantum‐Metric‐Induced Nonlinear Transport
How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang +4 more
wiley +1 more source
Research on Least-Square η-Hermitian Solutions of Split Quaternion Matrix Equations
In this article, we use the real representation matrix of the split quaternion matrix, vector operator, Kronecker product, and Moore–Penrose generalized inverse.
Yang Zhang, Xiaoda Zhang
doaj +1 more source
On the Method of Harmonic Balance for Lumped‐Element Transformer Models
The steady‐state solution of a lumped‐element transformer model with a dry friction‐like hysteresis model depicting the magnetic core is of interest. The harmonic balance method efficiently solves this stiff system. We derive the harmonic balance algorithm, enhance it with performance and convergence improvements, and demonstrate its efficiency by ...
Alexander Sauseng +5 more
wiley +1 more source
Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis [PDF]
Ricardo Abreu Blaya +4 more
openalex +1 more source
All‐Fiber Microsensor of Polarization at Single‐Photon Level Aided by Deep Learning
Introducing a polarization sensor using scattering in a short optical fiber and deep learning. The breakthrough lies in sparse sampling of the scattered light and single‐photon sensitivity. The all‐fiber sensor achieves unprecedented accuracy, speed, resolution, and stability.
Martin Bielak +2 more
wiley +1 more source
An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential [PDF]
Jacques Bloch +3 more
openalex +1 more source
Analyzing the Free States of one Quantum Resource Theory as Resource States of Another
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris +5 more
wiley +1 more source

