Results 51 to 60 of about 2,534,683 (266)
Some determinantal inequalities for Hadamard and Fan products of matrices
Journal of Inequalities and Applications, 2016 In this note, we generalize some determinantal inequalities which are due to Lynn (Proc. Camb. Philos. 60:425-431, 1964), Chen (Linear Algebra Appl. 368:99-106, 2003) and Ando (Linear Multilinear Algebra 8:291-316, 1980).
Xiaohui Fu, Yang Liu
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Quantum Heat Statistics with Time-Evolving Matrix Product Operators
PRX Quantum, 2021 We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator algorithm. This approach is applied to the paradigmatic spin-
Maria Popovic +5 more
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, 2016 Transfer matrices and matrix product operators play an ubiquitous role in the field of many body physics. This paper gives an ideosyncratic overview of applications, exact results and computational aspects of diagonalizing transfer matrices and matrix ...
Haegeman, Jutho, Verstraete, Frank
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Matrix product states represent ground states faithfully [PDF]
, 2006 We quantify how well matrix product states approximate exact ground states of 1-D quantum spin systems as a function of the number of spins and the entropy of blocks of spins.
Cirac, J. I., Verstraete, F.
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
Explainable natural language processing with matrix product states
New Journal of Physics, 2022 Despite empirical successes of recurrent neural networks (RNNs) in natural language processing (NLP), theoretical understanding of RNNs is still limited due to intrinsically complex non-linear computations.
Jirawat Tangpanitanon +5 more
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Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy [PDF]
, 2012 Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy.Comment: 11 pages, 4 ...
Collins, Benoit +2 more
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Time evolution of Matrix Product States
, 2006 In this work we develop several new simulation algorithms for 1D many-body quantum mechanical systems combining the Matrix Product State variational ansatz with Taylor, Pade and Arnoldi approximations to the evolution operator.
Barankov R A Levitov L S +9 more
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Tangent-space methods for uniform matrix product states [PDF]
, 2019 In these lecture notes we give a technical overview of tangent-space methods for matrix product states in the thermodynamic limit. We introduce the manifold of uniform matrix product states, show how to compute different types of observables, and discuss
Haegeman, Jutho +2 more
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