Results 11 to 20 of about 21,155,000 (291)
Multi-Modal Image Fusion Based on Matrix Product State of Tensor [PDF]
Frontiers in Neurorobotics, 2021 Multi-modal image fusion integrates different images of the same scene collected by different sensors into one image, making the fused image recognizable by the computer and perceived by human vision easily.
Yixiang Lu +4 more
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Matrix product state representations [PDF]
Quantum Information and Computation, 2007 This work gives a detailed investigation of matrix product state (TOPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide
Cirac, J.I. +3 more
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Residual matrix product state for machine learning
SciPost Physics, 2023 Tensor network, which originates from quantum physics, is emerging as an efficient tool for classical and quantum machine learning. Nevertheless, there still exists a considerable accuracy gap between tensor network and the sophisticated neural network ...
Ye-Ming Meng, Jing Zhang, Peng Zhang, Chao Gao, Shi-Ju Ran
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Algebraic Geometry of Matrix Product States [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2014 . We quantify the representational power of matrix product states (MPS) for entangled qubit systems by giving polynomial expressions in a pure quantum state’s am-plitudes which hold if and only if the state is a translation invariant matrix product state
Andrew Critch +3 more
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Matrix product state on a quantum computer
New Journal of PhysicsSolving quantum many-body systems is one of the most significant regimes where quantum computing applies. Currently, as a hardware-friendly computational paradigms, variational algorithms are often used for finding the ground energy of quantum many-body ...
Yong Liu +3 more
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Matrix Product States with Large Sites [PDF]
Journal of Chemical Theory and Computation, 2022 We explore various ways to group orbitals into clusters in a matrix product state (MPS). We explain how a generic cluster MPS can often lead to an increase in computational cost and instead propose a special cluster structure, involving only the first and last orbitals/sites, with a wider scope for computational advantage.
Henrik R. Larsson +3 more
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Testing matrix product states [PDF]
, 2022 Devising schemes for testing the amount of entanglement in quantum systems has played a crucial role in quantum computing and information theory. Here, we study the problem of testing whether an unknown state $|\psi\rangle$ is a matrix product state (MPS) in the property testing model.
Mehdi Soleimanifar, John Wright 0004
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Machine Learning Matrix Product State Ansatz for strongly correlated systems [PDF]
, 2022 Machine learning (ML) has been used to optimize the matrix product state (MPS) ansatz for wavefunction of strongly correlated systems. The ML optimization of MPS has been tested for Heisenberg Hamiltonian on one-dimensional and ladder lattices which ...
Debashree, Ghosh, Sumanta K., Ghosh
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Multipartite Correlations in Quantum Collision Models
Entropy, 2022 Quantum collision models have proved to be useful for a clear and concise description of many physical phenomena in the field of open quantum systems: thermalization, decoherence, homogenization, nonequilibrium steady state, entanglement generation ...
Sergey Filippov
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Stochastic Matrix Product States [PDF]
Physical Review Letters, 2010 The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows to define the analogue of Schmidt coefficients for steady states of non-equilibrium stochastic processes. We discuss a new measure for correlations which is analogous to the entanglement entropy, the entropy cost $S_C$, and show that ...
Kristan Temme, Frank Verstraete
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