Results 21 to 30 of about 21,155,000 (291)
Optimising Matrix Product State Simulations of Shor's Algorithm [PDF]
Quantum, 2019 We detail techniques to optimise high-level classical simulations of Shor's quantum factoring algorithm. Chief among these is to examine the entangling properties of the circuit and to effectively map it across the one-dimensional structure of a matrix ...
Aidan Dang +2 more
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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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Wick’s Theorem for Matrix Product States [PDF]
Physical Review Letters, 2013 Matrix-product states and their continuous analogues are variational classes of states that capture quantum many-body systems or quantum fields with low entanglement; they are at the basis of the density-matrix renormalization group method and continuous variants thereof.
Hubener R., Mari A., Eisert J.
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Scaling Hypothesis for Matrix Product States [PDF]
Physical Review Letters, 2019 We revisit the question of describing critical spin systems and field theories using matrix product states, and formulate a scaling hypothesis in terms of operators, eigenvalues of the transfer matrix, and lattice spacing in the case of field theories. Critical exponents and central charge are determined by optimizing the exponents such as to obtain a ...
Vanhecke, Bram +4 more
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Matrix Product States for Quantum Metrology [PDF]
Physical Review Letters, 2013 We demonstrate that the optimal states in lossy quantum interferometry may be efficiently simulated using low rank matrix product states. We argue that this should be expected in all realistic quantum metrological protocols with uncorrelated noise and is related to the elusive nature of the Heisenberg precision scaling in presence of decoherence.
Jarzyna, Marcin +1 more
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Tangent-space methods for truncating uniform MPS
SciPost Physics Core, 2021 A central primitive in quantum tensor network simulations is the problem of approximating a matrix product state with one of a lower bond dimension.
Bram Vanhecke, Maarten Van Damme, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete
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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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Matrix product state description of Halperin states [PDF]
Physical Review B, 2018 23 pages, 16 ...
Crépel, V. +4 more
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Matrix product states with backflow correlations
Physical Review B, 2022 By taking inspiration from the backflow transformation for correlated systems, we introduce a novel tensor network ansatz which extend the well-established Matrix Product State representation of a quantum-many body wave function. This new structure provides enough resources to ensure that states in dimension larger or equal than one obey an area law ...
Guglielmo Lami +2 more
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Continuum limits of matrix product states [PDF]
Physical Review B, 2018 7 pages, 2 figures. New version: somewhat expanded, some explanations added.
Cuevas, Gemma De las +3 more
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