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Image and Spectrum Image Denoising under the local low Rank Assumption
2018
Microscopy and Microanalysis
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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
2011
Journal of Physics A: Mathematical and Theoretical
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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]
2003
arXiv
pre-print
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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
2010
Journal of Mathematical Physics
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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
2018
Physical Review Letters
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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
2003
Studies in history and philosophy of modern physics
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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
2017
Physical Review Letters
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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
2003
IEEE International Symposium on Information Theory, 2003. Proceedings.
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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]
2007
arXiv
pre-print
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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]
2006
arXiv
pre-print
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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]
2019
arXiv
pre-print
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2018 pre-print arXiv:1807.01192v1 fatcat:ignqgunznfedfcsrvvlycbonsi
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
2017
Proceedings of the ACM on Programming Languages
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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]
2006
Lecture Notes in Computer Science
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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
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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]
2021
arXiv
pre-print
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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
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