Unifying neural-network quantum states and correlator product states via tensor networks
نویسندگان
چکیده
منابع مشابه
Unifying neural-network quantum states and correlator product states via tensor networks
Correlator product states (CPS) are a powerful and very broad class of states for quantum lattice systems whose (unnormalised) amplitudes in a fixed basis can be sampled exactly and efficiently. They work by gluing together states of overlapping clusters of sites on the lattice, called correlators. Recently Carleo and Troyer (2017 Science 355 602) introduced a new type sampleable ansatz called ...
متن کاملUnifying neural-network quantum states and correlator product states via tensor networks
Correlator product states (CPS) are a powerful and very broad class of states for quantum lattice systems whose (unnormalised) amplitudes in a fixed basis can be sampled exactly and efficiently. They work by gluing together states of overlapping clusters of sites on the lattice, called correlators. Recently Carleo and Troyer (2017 Science 355 602) introduced a new type sampleable ansatz called ...
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We study the representational power of a Boltzmann machine (a type of neural network) in quantum many-body systems. We prove that any (local) tensor network state has a (local) neural network representation. The construction is almost optimal in the sense that the number of parameters in the neural network representation is almost linear in the number of nonzero parameters in the tensor network...
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Jacob D. Biamonte, Stephen R. Clark and Dieter Jaksch Oxford University Computing Laboratory, Parks Road Oxford, OX1 3QD, United Kingdom Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore Keble College, Parks Road, University of Oxford, Oxford OX1 3PG, United Kingdom Clarendon Laboratory, Department of Physics, University of Oxford,...
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We show that the formalism of tensor-network states, such as the matrix-product states (MPS), can be used as a basis for variational quantum Monte Carlo simulations. Using a stochastic optimization method, we demonstrate the potential of this approach by explicit MPS calculations for the transverse Ising chain with up to N=256 spins at criticality, using periodic boundary conditions and D x D m...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2018
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aaaaf2