Results 51 to 60 of about 30,222 (232)

Quantum Query Complexity of Multilinear Identity Testing [PDF]

, 2008
Motivated by the quantum algorithm in \cite{MN05} for testing commutativity of black-box groups, we study the following problem: Given a black-box finite ring $R=\angle{r_1,...,r_k}$ where $\{r_1,r_2,...,r_k\}$ is an additive generating set for $R$ and a
Arvind, V., Mukhopadhyay, Partha
core   +3 more sources

Star-Triangle Relation for a Three Dimensional Model

, 1992
The solvable $sl(n)$-chiral Potts model can be interpreted as a three-dimensional lattice model with local interactions. To within a minor modification of the boundary conditions it is an Ising type model on the body centered cubic lattice with two- and ...
A. B. Zamolodchikov, B. M. McCoy, C. N. Yang, E. Date, E. Date, H. Au-Yang, L. D. Faddeev, L. Onsager, M. T. Jaekel, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. J. Baxter, R. M. Kashaev, R. M. Kashaev, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov, V. V. Bazhanov   +21 more
core   +1 more source

Yang-Baxter maps and integrable dynamics [PDF]

, 2002
The hierarchy of commuting maps related to a set-theoretical solution of the quantum Yang-Baxter equation (Yang-Baxter map) is introduced. They can be considered as dynamical analogues of the monodromy and/or transfer-matrices.
A.P. Veselov, Adler, Baxter, Berenstein, Bourbaki, Buchstaber, Drinfeld, Etingof, Etingof, Fomin, Frenkel, Gaudin, Gohberg, Goncharenko, Goncharenko, Hietarinta, Hoffmann, Jimbo, Kulish, Moser, Noumi, Novikov, Odesskii, Reshetikhin, Reshetikhin, Suris, Takhtajan, Veselov, Veselov, Weinstein, Yang   +30 more
core   +2 more sources

Necessary and sufficient conditions for local creation of quantum discord

, 2012
We show that a local channel cannot create quantum discord (QD) for zero QD states of size $d\geq3$ if and only if either it is a completely decohering channel or it is a nontrivial isotropic channel.
Abad T Karimipour V Memarzadeh L, Chen K, Guo Y, Guo Y Hou J, Guo Y Hou J Wang Y C, Henderson L, Hou J, Hou J, Hu X Fan H Zhou D L Liu W M, Jinchuan Hou, Nielsen M A, Qi X, Yu Guo, Yu S X Zhang C J Chen Q Oh C H   +13 more
core   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Non-commutative Dp-Brane in General Background Fields

, 2013
We investigate non-commutativity of open strings, attached to a D$p$-brane, in the presence of the linear dilaton, tachyon, U(1) gauge field as well as constant anti-symmetric $B$-field backgrounds.
Kamani, Davoud, Zoghi, Maryam
core   +1 more source

Dual Isomonodromic Deformations and Moment Maps to Loop Algebras [PDF]

, 1993
The Hamiltonian structure of the monodromy preserving deformation equations of Jimbo {\it et al } is explained in terms of parameter dependent pairs of moment maps from a symplectic vector space to the dual spaces of two different loop algebras.
A. Weinstein, A.G. Reyman, A.R. Its, C. Tracy, G. Moore, J. Harnad, K. Okamoto, M. Jimbo, M. Jimbo, M.A. Semenov-Tian-Shansky, M.R. Adams, M.R. Adams, M.R. Adams   +12 more
core   +2 more sources

Multiplication of Matrices

Indonesian Journal of Mathematics and Applications
This study is about multiplication of matrices. Multiplication of real numbers, which can be written along a line, is also two way. Here, the direction is not an influential factor even when the elements are switched. For example $3.2=6$ and $2.3=6. $ In
Hasan Keleş
semanticscholar   +1 more source

Decompositions of matrices by using commutators

Linear Algebra and its Applications, 2023
We will use commutators to provide decompositions of $3\times 3$ matrices as sums whose terms satisfy some polynomial identities, and we apply them to bounded linear operators and endomorphisms of free modules of infinite rank. In particular it is proved that every bounded operator of an infinite dimensional complex Hilbert space is a sum of four ...
Breaz, Simion, Rafiliu, Cristian
openaire   +2 more sources

FIRE‐GNN: Force‐Informed, Relaxed Equivariance Graph Neural Network for Rapid and Accurate Prediction of Surface Properties

Advanced Intelligent Discovery, EarlyView.
This study introduces FIRE‐GNN, a force‐informed, relaxed equivariant graph neural network for predicting surface work functions and cleavage energies from slab structures. By incorporating surface‐normal symmetry breaking and machine learning interatomic potential‐derived force information, the approach achieves state‐of‐the‐art accuracy and enables ...
Circe Hsu, Claire Schlesinger, Karan Mudaliar, Jordan Leung, Robin Walters, Peter Schindler   +5 more
wiley   +1 more source