Results 31 to 40 of about 751,143 (344)
On the Decomposition of Tensors by Contraction [PDF]
Proceedings of the National Academy of Sciences, 1952 F. D. Murnaghan
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Open Quantum System Dynamics from Infinite Tensor Network Contraction. [PDF]
Physical Review Letters, 2023 Approaching the long-time dynamics of non-Markovian open quantum systems presents a challenging task if the bath is strongly coupled. Recent proposals address this problem through a representation of the so-called process tensor in terms of a tensor ...
Valentin Link, Hong-Hao Tu, W. Strunz
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Stack Operation of Tensor Networks
Frontiers in Physics, 2022 The tensor network, as a factorization of tensors, aims at performing the operations that are common for normal tensors, such as addition, contraction, and stacking.
Tianning Zhang +4 more
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Tensor Network Contractions for #SAT [PDF]
Journal of Statistical Physics, 2015 The computational cost of counting the number of solutions satisfying a Boolean formula, which is a problem instance of #SAT, has proven subtle to quantify. Even when finding individual satisfying solutions is computationally easy (e.g. 2-SAT, which is in P), determining the number of solutions is #P-hard.
Jacob D. Biamonte +2 more
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Effective Utilization of Tensor Symmetry in Operation Optimization of Tensor Contraction Expressions
Procedia Computer Science, 2012 AbstractThe optimization of tensor expressions with hundreds of terms is required for the development of accurate quantum chemistry models such as the coupled cluster method. In this paper, we address the effective exploitation of symmetry properties of tensors in performing algebraic transformations for minimizing operation count of tensor expressions.
Pai-Wei Lai +5 more
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High-performance Tensor Contractions for GPUs
Procedia Computer Science, 2016 We present a computational framework for high-performance tensor contractions on GPUs. High-performance is difficult to obtain using existing libraries, especially for many independent contractions where each contraction is very small, e.g., sub-vector/warp in size.
Ahmad Abdelfattah +10 more
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Simple heuristics for efficient parallel tensor contraction and quantum circuit simulation [PDF]
arXiv.org, 2020 Tensor networks are the main building blocks in a wide variety of computational sciences, ranging from many-body theory and quantum computing to probability and machine learning. Here we propose a parallel algorithm for the contraction of tensor networks
R. Schutski +3 more
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Constructing Optimal Contraction Trees for Tensor Network Quantum Circuit Simulation [PDF]
IEEE Conference on High Performance Extreme Computing, 2022 One of the key problems in tensor network based quantum circuit simulation is the construction of a contraction tree which minimizes the cost of the simulation, where the cost can be expressed in the number of operations as a proxy for the simulation ...
Cameron Ibrahim +4 more
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Verifying Quantum Advantage Experiments with Multiple Amplitude Tensor Network Contraction. [PDF]
Physical Review Letters, 2022 The quantum supremacy experiment, such as Google Sycamore [F. Arute et al., Nature (London) 574, 505 (2019).NATUAS0028-083610.1038/s41586-019-1666-5], poses a great challenge for classical verification due to the exponentially increasing compute cost ...
Yong Liu +13 more
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High-Performance Tensor Contraction without BLAS. [PDF]
SIAM Journal on Scientific Computing, 2016 24 pages, 8 figures, uses ...
Devin A. Matthews
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