Results 41 to 50 of about 217,923 (227)
A tropical version of Martens' theorem for metric graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill–Noether rank of a tropical curve. We recall Coppens' counterexample of Martens‐special chain of cycles, and we generalize the construction defining another class of graphs, Martens‐special trees of cycles, for which the conjecture does not ...
Giusi Capobianco, Angelina Zheng
wiley +1 more source
Entanglement, Space–Time Coordinates, and Bell's Inequalities in Photon–Polarization Experiments
Annalen der Physik, Volume 538, Issue 9, September 2026.This work presents a revised analysis of Bell‐type inequalities. It is argued that standard derivations of Bell‐type inequalities implicitly rely on additional assumptions beyond those originally stated, specifically concerning the cardinalities of the sets of measurements and photon‐pair properties.
Karl Hess, Jürgen Jakumeit
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C-lattices and decompositions of generalized clifford algebras
, 2010 In this note we introduce C-lattices to make use of them to provide a short and self-contained proof to the decomposition theorems of generalized Clifford algebras established by T. Y. Lam and T.
Koç, Cemal
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Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
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A Clifford Algebra Of Signature (n,3n) And The Density Operators Of Quantum Information Theory
, 2015 This paper presents an algebraic language for fundamental elements of quantum information theory (the density operators), based in the properties of a Clifford algebra of signature (n,3n). We prove that the new description of these elements preserves the
Lavor C., Melo N.
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Matrix representations of Clifford algebras [PDF]
, 1990 As is well known, Clifford algebras can be faithfully realized as certain matrix algebras, the matrix entries being real numbers, complex numbers, or quaternions, depending on the particular Clifford algebra.
Pertti Lounesto +3 more
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Entropy, 2017 We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
doaj +1 more source
SciPost Physics Proceedings, 2023 The paper develops, within a new representation of Clifford algebras in terms of tensor products of quaternions called hyperquaternions, several applications.
Patrick R. Girard, Romaric Pujol, Patrick Clarysse, Philippe Delachartre
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Modeling Dynamics of Hydrogen‐Oxidizing Bacteria Under Pulsing Soil Moisture Conditions
Journal of Geophysical Research: Biogeosciences, Volume 131, Issue 9, September 2026.Abstract Hydrogen‐oxidizing bacteria (HOB) are responsible for the dominant soil sink of atmospheric hydrogen (H2); however, models estimating this sink are yet to incorporate explicit representation of these biotic drivers. Here, we use a donor‐consumer model to examine how HOB and carbon‐decomposing bacteria (CDB) may jointly influence organic carbon
Damola Olaitan +2 more
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