Filters








21,239 Hits in 5.8 sec

Image and Spectrum Image Denoising under the local low Rank Assumption

Jakob Spiegelberg, Juan Carlos Idrobo, Jan Rusz
2018 Microscopy and Microanalysis  
Similarly, a local, patch based, description of images has been found to be effective for denoising purposes.  ...  While the above description of LLR is undeniably dense, it is also complete, which highlights one of the advantages of LLR over previous patch based image denoising algorithms (e.g., BM3D or NLPCA): Apart  ...  Similarly, a local, patch based, description of images has been found to be effective for denoising purposes.  ... 
doi:10.1017/s1431927618003380 fatcat:5mfydtqx3ba4hhp5gk3hy6fj4i

Algebraically contractible topological tensor network states

S J Denny, J D Biamonte, D Jaksch, S R Clark
2011 Journal of Physics A: Mathematical and Theoretical  
We then generalise the resulting tensor network from a spin-1/2 lattice to a class of exactly contractible states on spin-S degrees of freedom, yielding the most efficient tensor network description of  ...  This class of tensor networks is readily translated onto any lattice, and we differentiate between the physical consequences of bipartite and non-bipartite lattices on the properties of the corresponding  ...  Acknowledgments DJ and SRC thank the National Research Foundation and the Ministry of Education of Singapore for support.  ... 
doi:10.1088/1751-8113/45/1/015309 fatcat:6i4ys22fargepbb4yjfntil7zy

Quantum information processing, operational quantum logic, convexity, and the foundations of physics [article]

Howard Barnum
2003 arXiv   pre-print
The main technical content of the paper is in a theorem that any such theory naturally gives rise to a "weak effect algebra" when outcomes having the same probability in all states are identified, and  ...  in the introduction of a notion of "operation algebra" that also takes account of sequential and conditional operations.  ...  Acknowledgments Discussions over the years with Carlton Caves, Dave Foulis, Chris Fuchs, Leonid Gurvits, Lucien Hardy, Richard Jozsa, Manny Knill, Eric Rains, Rüdiger Schack, Ben Schumacher,  ... 
arXiv:quant-ph/0304159v1 fatcat:i2yx56su5ra6liwj427clgrvfm

Twenty five years of two-dimensional rational conformal field theory

Jürgen Fuchs, Ingo Runkel, Christoph Schweigert
2010 Journal of Mathematical Physics  
In this article we try to give a condensed panoramic view of the development of two-dimensional rational conformal field theory in the last twenty-five years.  ...  physics in the description of impurities, e.g. in the Kondo effect [1] . • Chiral conformal field theories describe universality classes of quantum Hall fluids [97] ; conformal blocks are used as approximate  ...  vertex algebras, the modular tensor category together with the value of the Virasoro central charge is equivalent to the genus of the lattice.  ... 
doi:10.1063/1.3277118 fatcat:qssuhm3wybgm7cfzblcaube4iq

Mapping Topological to Conformal Field Theories through strange Correlators

Robijn Vanhove, Matthias Bal, Dominic J. Williamson, Nick Bultinck, Jutho Haegeman, Frank Verstraete
2018 Physical Review Letters  
For the case of critical systems, those non-local matrix product operator symmetries are the lattice remnants of topological conformal defects in the field theory description.  ...  from Ocneanu's tube algebra.  ...  Aasen for explaining his work [21, 22] , particularly the relevance of Ocneanu's tube algebra to topological sectors in CFTs.  ... 
doi:10.1103/physrevlett.121.177203 pmid:30411961 fatcat:km6xhjjlovgo5l62v5vjrqchru

Quantum information processing, operational quantum logic, convexity, and the foundations of physics

Howard Barnum
2003 Studies in history and philosophy of modern physics  
The main technical content of the paper is in a theorem that any such theory naturally gives rise to a "weak effect algebra" when outcomes having the same probability in all states are identified, and  ...  in the introduction of a notion of "operation algebra" that also takes account of sequential and conditional operations.  ...  Acknowledgments Discussions over the years with Carlton Caves, Dave Foulis, Chris Fuchs, Leonid Gurvits, Lucien Hardy, Richard Jozsa, Manny Knill, Eric Rains, Rüdiger Schack, Ben Schumacher,  ... 
doi:10.1016/s1355-2198(03)00033-9 fatcat:36jvud4ksvdxzdn6wxtx4masfi

Renormalization Group Flows of Hamiltonians Using Tensor Networks

M. Bal, M. Mariën, J. Haegeman, F. Verstraete
2017 Physical Review Letters  
We derive algebraic relations for fixed point tensors, calculate critical exponents, and benchmark our method on the Ising model and the six-vertex model.  ...  A renormalization group flow of Hamiltonians for two-dimensional classical partition functions is constructed using tensor networks. Similar to tensor network renormalization ([G. Evenbly and G.  ...  In his treatment of block-spin methods on the lattice, Wilson emphasized that one should be able to do precise numerical calculations using pure RG methods combined with approximations based only on locality  ... 
doi:10.1103/physrevlett.118.250602 pmid:28696763 fatcat:xiic5bf5jnan7hlrgkhdeetqj4

Invariance of stationary and ergodic properties of a quantum source under memoryless transformations

A. Kaltchenko, En-Hui Yang
2003 IEEE International Symposium on Information Theory, 2003. Proceedings.  
We prove that the stationarity and the ergodicity of a quantum source {ρ [1,m] } ∞ m=1 are preserved by any trace-preserving completely positive linear map of the tensor product form E ⊗m , where a copy  ...  of E acts locally on each spin lattice site.  ...  We point out that such a tensor product map is the most general description of a quantum memoryless channel [1] .  ... 
doi:10.1109/isit.2003.1228475 fatcat:baikal6orvdfhplgh7ukbzhpfa

What is the Mathematical Structure of Quantum Spacetime? [article]

Louis Crane
2007 arXiv   pre-print
In the process of constructing a quantum topos for quantum gravity, we propose a new, operational approach to the problem of the obervables in quantum gravity, which leads to a new mathematical point of  ...  We survey indications from different branches of Physics that the fine scale structure of spacetime is not adequately described by a manifold.  ...  In this definition, × denotes the tensor product of sup complete lattices.  ... 
arXiv:0706.4452v1 fatcat:rqtoecri4ncujng6dz2tvghlbu

Coordinating quantum agents' perspectives: convex operational theories, quantum information, and quantum foundations [article]

Howard Barnum
2006 arXiv   pre-print
of the perspectives within it, is the key to understanding whether we may be able to achieve a unified, "objective" physical view in which quantum mechanics is the appropriate description for certain  ...  In this paper, I propose a project of enlisting quantum information science as a source of task-oriented axioms for use in the investigation of operational theories in a general framework capable of encompassing  ...  Chris Fuchs brought the work of Bilodeau to my attention.  ... 
arXiv:quant-ph/0611110v1 fatcat:np4u66lou5b5db5erelcakqqui

The Equivalence of Schrödinger and Heisenberg Pictures in Quantum Cellular Automata [article]

Asif Shakeel
2019 arXiv   pre-print
tensor product algebra (ITPA) with evolution by algebra automorphism is the Heisenberg template.  ...  Description of a QCA over the separable Hilbert space of finite, unbounded configurations (UFC Hilbert space) with unitary state evolution is the Schrödinger template, and over the incomplete infinite  ...  Acknowledgements The author would like to thank David Meyer and members of his research group for productive discussions.  ... 
arXiv:1807.01192v2 fatcat:36jorhmkere47mdmymcaepxdxa

The tensor algebra compiler

Fredrik Kjolstad, Shoaib Kamil, Stephen Chou, David Lugato, Saman Amarasinghe
2017 Proceedings of the ACM on Programming Languages  
This paper presents a new technique that compiles compound tensor algebra expressions combined with descriptions of tensor formats into efficient loops.  ...  Tensor and linear algebra is pervasive in data analytics and the physical sciences. Often the tensors, matrices or even vectors are sparse.  ...  Tensor Algebra We assessed the effectiveness of our technique for sparse tensor algebra by comparing the performance of several tensor algebra kernels generated by taco with the same kernels implemented  ... 
doi:10.1145/3133901 dblp:journals/pacmpl/KjolstadKCLA17 fatcat:6bkwkjzqg5cxfjceuvtx5454bi

The Tensor Product as a Lattice of Regular Galois Connections [chapter]

Markus Krötzsch, Grit Malik
2006 Lecture Notes in Computer Science  
The latter also appear as the elements of the tensor product of concept lattices, but it is known that not all dual bonds between two lattices can be represented in this way.  ...  This is achieved by combining methods from algebraic order theory and FCA with recent results on dual bonds.  ...  This research was partially supported by the European Commission under IST-2003-506826 "SEKT."  ... 
doi:10.1007/11671404_6 fatcat:u4iwjtiozvgxvlwqcb7o6yuhru

Page 730 of Mathematical Reviews Vol. , Issue 2000a [page]

2000 Mathematical Reviews  
The tensor product of the effect algebras for two systems is the effect algebra for the combined system.  ...  The notion of a o-effect algebra, generalizing the idea of a o-field, is introduced, and a corresponding o-tensor product is formulated.  ... 

Gluon correlation functions from lattice quantum chromodynamics [article]

Guilherme Telo R. Catumba
2021 arXiv   pre-print
We also identified classes of kinematic configurations where these deviations are minimal and the continuum description of lattice tensors is improved.  ...  The first goal was to use lattice tensor representations for the propagator in four dimensions to understand/quantify deviations of the lattice propagator from its continuum form.  ...  Completeness of the tensor bases The analysis of the form factors alone does not offer the full picture for how the lattice bases affect the description of the tensor 2 .  ... 
arXiv:2101.06074v1 fatcat:yc5xfothtve4pc5pbvfh75nzum
« Previous Showing results 1 — 15 out of 21,239 results