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https://www.readbyqxmd.com/read/29221383/self-adaptive-tensor-network-states-with-multi-site-correlators
#1
Arseny Kovyrshin, Markus Reiher
We introduce the concept of self-adaptive tensor network states (SATNSs) based on multi-site correlators. The SATNS ansatz gradually extends its variational space incorporating the most important next-order correlators into the ansatz for the wave function. The selection of these correlators is guided by entanglement-entropy measures from quantum information theory. By sequentially introducing variational parameters and adjusting them to the system under study, the SATNS ansatz achieves keeping their number significantly smaller than the total number of full-configuration interaction parameters...
December 7, 2017: Journal of Chemical Physics
https://www.readbyqxmd.com/read/29219445/fast-quantum-state-transfer-and-entanglement-renormalization-using-long-range-interactions
#2
Zachary Eldredge, Zhe-Xuan Gong, Jeremy T Young, Ali Hamed Moosavian, Michael Foss-Feig, Alexey V Gorshkov
In short-range interacting systems, the speed at which entanglement can be established between two separated points is limited by a constant Lieb-Robinson velocity. Long-range interacting systems are capable of faster entanglement generation, but the degree of the speedup possible is an open question. In this Letter, we present a protocol capable of transferring a quantum state across a distance L in d dimensions using long-range interactions with a strength bounded by 1/r^{α}. If α<d, the state transfer time is asymptotically independent of L; if α=d, the time scales logarithmically with the distance L; if d<α<d+1, the transfer occurs in a time proportional to L^{α-d}; and if α≥d+1, it occurs in a time proportional to L...
October 27, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/29097666/a-simple-tensor-network-algorithm-for-two-dimensional-steady-states
#3
Augustine Kshetrimayum, Hendrik Weimer, Román Orús
Understanding dissipation in 2D quantum many-body systems is an open challenge which has proven remarkably difficult. Here we show how numerical simulations for this problem are possible by means of a tensor network algorithm that approximates steady states of 2D quantum lattice dissipative systems in the thermodynamic limit. Our method is based on the intuition that strong dissipation kills quantum entanglement before it gets too large to handle. We test its validity by simulating a dissipative quantum Ising model, relevant for dissipative systems of interacting Rydberg atoms, and benchmark our simulations with a variational algorithm based on product and correlated states...
November 3, 2017: Nature Communications
https://www.readbyqxmd.com/read/29081630/estimation-of-clean-and-centered-brain-network-atlases-using-diffusive-shrinking-graphs-with-application-to-developing-brains
#4
Islem Rekik, Gang Li, Weili Lin, Dinggang Shen
Many methods have been developed to spatially normalize a population of brain images for estimating a mean image as a population-average atlas. However, methods for deriving a network atlas from a set of brain networks sitting on a complex manifold are still absent. Learning how to average brain networks across subjects constitutes a key step in creating a reliable mean representation of a population of brain networks, which can be used to spot abnormal deviations from the healthy network atlas. In this work, we propose a novel network atlas estimation framework, which guarantees that the produced network atlas is clean (for tuning down noisy measurements) and well-centered (for being optimally close to all subjects and representing the individual traits of each subject in the population)...
June 2017: Information Processing in Medical Imaging: Proceedings of the ... Conference
https://www.readbyqxmd.com/read/29073057/universal-photonic-quantum-computation-via-time-delayed-feedback
#5
Hannes Pichler, Soonwon Choi, Peter Zoller, Mikhail D Lukin
We propose and analyze a deterministic protocol to generate two-dimensional photonic cluster states using a single quantum emitter via time-delayed quantum feedback. As a physical implementation, we consider a single atom or atom-like system coupled to a 1D waveguide with a distant mirror, where guided photons represent the qubits, while the mirror allows the implementation of feedback. We identify the class of many-body quantum states that can be produced using this approach and characterize them in terms of 2D tensor network states...
October 24, 2017: Proceedings of the National Academy of Sciences of the United States of America
https://www.readbyqxmd.com/read/29053298/hyperinvariant-tensor-networks-and-holography
#6
Glen Evenbly
We propose a new class of tensor network state as a model for the AdS/CFT correspondence and holography. This class is demonstrated to retain key features of the multiscale entanglement renormalization ansatz (MERA), in that they describe quantum states with algebraic correlation functions, have free variational parameters, and are efficiently contractible. Yet, unlike the MERA, they are built according to a uniform tiling of hyperbolic space, without inherent directionality or preferred locations in the holographic bulk, and thus circumvent key arguments made against the MERA as a model for AdS/CFT...
October 6, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/29053290/extracting-entanglement-geometry-from-quantum-states
#7
Katharine Hyatt, James R Garrison, Bela Bauer
Tensor networks impose a notion of geometry on the entanglement of a quantum system. In some cases, this geometry is found to reproduce key properties of holographic dualities, and subsequently much work has focused on using tensor networks as tractable models for holographic dualities. Conventionally, the structure of the network-and hence the geometry-is largely fixed a priori by the choice of the tensor network ansatz. Here, we evade this restriction and describe an unbiased approach that allows us to extract the appropriate geometry from a given quantum state...
October 6, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28949736/frustrated-magnetism-of-dipolar-molecules-on-a-square-optical-lattice-prediction-of-a-quantum-paramagnetic-ground-state
#8
Haiyuan Zou, Erhai Zhao, W Vincent Liu
Motivated by the experimental realization of quantum spin models of polar molecule KRb in optical lattices, we analyze the spin 1/2 dipolar Heisenberg model with competing anisotropic, long-range exchange interactions. We show that, by tilting the orientation of dipoles using an external electric field, the dipolar spin system on square lattice comes close to a maximally frustrated region similar, but not identical, to that of the J_{1}-J_{2} model. This provides a simple yet powerful route to potentially realize a quantum spin liquid without the need for a triangular or kagome lattice...
August 4, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28949669/bridging-perturbative-expansions-with-tensor-networks
#9
Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman, Norbert Schuch, Julien Vidal, Frank Verstraete
We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating perturbative expansions across a quantum phase transition. This approach leads to classes of tensor-network states parametrized by few parameters with a clear physical meaning, while still providing excellent variational energies. We also demonstrate how to construct perturbative expansions of the entanglement Hamiltonian, whose eigenvalues form the entanglement spectrum, and how the tensor-network approach gives rise to order parameters for topological phase transitions...
August 18, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28949666/anti-de-sitter-space-from-optimization-of-path-integrals-in-conformal-field-theories
#10
Pawel Caputa, Nilay Kundu, Masamichi Miyaji, Tadashi Takayanagi, Kento Watanabe
We introduce a new optimization procedure for Euclidean path integrals, which compute wave functionals in conformal field theories (CFTs). We optimize the background metric in the space on which the path integration is performed. Equivalently, this is interpreted as a position-dependent UV cutoff. For two-dimensional CFT vacua, we find the optimized metric is given by that of a hyperbolic space, and we interpret this as a continuous limit of the conjectured relation between tensor networks and Anti-de Sitter (AdS)/conformal field theory (CFT) correspondence...
August 18, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28731760/steady-states-of-infinite-size-dissipative-quantum-chains-via-imaginary-time-evolution
#11
Adil A Gangat, Te I, Ying-Jer Kao
Directly in the thermodynamic limit, we show how to combine local imaginary and real-time evolution of tensor networks to efficiently and accurately find the nonequilibrium steady states (NESSs) of one-dimensional dissipative quantum lattices governed by a local Lindblad master equation. The imaginary time evolution first bypasses any highly correlated portions of the real-time evolution trajectory by directly converging to the weakly correlated subspace of the NESS, after which, real-time evolution completes the convergence to the NESS with high accuracy...
July 7, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28696763/renormalization-group-flows-of-hamiltonians-using-tensor-networks
#12
M Bal, M Mariën, J Haegeman, F Verstraete
A renormalization group flow of Hamiltonians for two-dimensional classical partition functions is constructed using tensor networks. Similar to tensor network renormalization [G. Evenbly and G. Vidal, Phys. Rev. Lett. 115, 180405 (2015)PRLTAO0031-900710.1103/PhysRevLett.115.180405; S. Yang, Z.-C. Gu, and X.-G. Wen, Phys. Rev. Lett. 118, 110504 (2017)PRLTAO0031-900710.1103/PhysRevLett.118.110504], we obtain approximate fixed point tensor networks at criticality. Our formalism, however, preserves positivity of the tensors at every step and hence yields an interpretation in terms of Hamiltonian flows...
June 23, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28498711/projector-quantum-monte%C3%A2-carlo-method-for-nonlinear-wave-functions
#13
Lauretta R Schwarz, A Alavi, George H Booth
We reformulate the projected imaginary-time evolution of the full configuration interaction quantum Monte Carlo method in terms of a Lagrangian minimization. This naturally leads to the admission of polynomial complex wave function parametrizations, circumventing the exponential scaling of the approach. While previously these functions have traditionally inhabited the domain of variational Monte Carlo approaches, we consider recent developments for the identification of deep-learning neural networks to optimize this Lagrangian, which can be written as a modification of the propagator for the wave function dynamics...
April 28, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28409964/gapless-spin-liquid-ground-state-in-the-s-1-2-kagome-antiferromagnet
#14
H J Liao, Z Y Xie, J Chen, Z Y Liu, H D Xie, R Z Huang, B Normand, T Xiang
The defining problem in frustrated quantum magnetism, the ground state of the nearest-neighbor S=1/2 antiferromagnetic Heisenberg model on the kagome lattice, has defied all theoretical and numerical methods employed to date. We apply the formalism of tensor-network states, specifically the method of projected entangled simplex states, which combines infinite system size with a correct accounting for multipartite entanglement. By studying the ground-state energy, the finite magnetic order appearing at finite tensor bond dimensions, and the effects of a next-nearest-neighbor coupling, we demonstrate that the ground state is a gapless spin liquid...
March 31, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28368642/loop-optimization-for-tensor-network-renormalization
#15
Shuo Yang, Zheng-Cheng Gu, Xiao-Gang Wen
We introduce a tensor renormalization group scheme for coarse graining a two-dimensional tensor network that can be successfully applied to both classical and quantum systems on and off criticality. The key innovation in our scheme is to deform a 2D tensor network into small loops and then optimize the tensors on each loop. In this way, we remove short-range entanglement at each iteration step and significantly improve the accuracy and stability of the renormalization flow. We demonstrate our algorithm in the classical Ising model and a frustrated 2D quantum model...
March 17, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28294147/criticality-enhanced-magnetocaloric-effect-in-quantum-spin-chain-material-copper-nitrate
#16
Jun-Sen Xiang, Cong Chen, Wei Li, Xian-Lei Sheng, Na Su, Zhao-Hua Cheng, Qiang Chen, Zi-Yu Chen
In this work, a systematic study of Cu(NO3)2·2.5 H2O (copper nitrate hemipentahydrate, CN), an alternating Heisenberg antiferromagnetic chain model material, is performed with multi-technique approach including thermal tensor network (TTN) simulations, first-principles calculations, as well as magnetization measurements. Employing a cutting-edge TTN method developed in the present work, we verify the couplings J = 5.13 K, α = 0.23(1) and Landé factors g∥= 2.31, g⊥ = 2.14 in CN, with which the magnetothermal properties have been fitted strikingly well...
March 15, 2017: Scientific Reports
https://www.readbyqxmd.com/read/28256850/density-induced-phase-transitions-in-the-schwinger-model-a-study-with-matrix-product-states
#17
Mari Carmen Bañuls, Krzysztof Cichy, J Ignacio Cirac, Karl Jansen, Stefan Kühn
We numerically study the zero temperature phase structure of the multiflavor Schwinger model at nonzero chemical potential. Using matrix product states, we reproduce analytical results for the phase structure for two flavors in the massless case and extend the computation to the massive case, where no analytical predictions are available. Our calculations allow us to locate phase transitions in the mass-chemical potential plane with great precision and provide a concrete example of tensor networks overcoming the sign problem in a lattice gauge theory calculation...
February 17, 2017: Physical Review Letters
https://www.readbyqxmd.com/read/28242712/charged-string-tensor-networks
#18
Jacob Biamonte
No abstract text is available yet for this article.
March 7, 2017: Proceedings of the National Academy of Sciences of the United States of America
https://www.readbyqxmd.com/read/28167790/quon-3d-language-for-quantum-information
#19
Zhengwei Liu, Alex Wozniakowski, Arthur M Jaffe
We present a 3D topological picture-language for quantum information. Our approach combines charged excitations carried by strings, with topological properties that arise from embedding the strings in the interior of a 3D manifold with boundary. A quon is a composite that acts as a particle. Specifically, a quon is a hemisphere containing a neutral pair of open strings with opposite charge. We interpret multiquons and their transformations in a natural way. We obtain a type of relation, a string-genus "joint relation," involving both a string and the 3D manifold...
March 7, 2017: Proceedings of the National Academy of Sciences of the United States of America
https://www.readbyqxmd.com/read/27913368/content-driven-associative-memories-for-color-image-patterns
#20
Mingming Li, Shuzhi Sam Ge, Tong Heng Lee
This paper presents a novel content-driven associative memory (CDAM) to associate large-scale color images based on the subjects that represent the images' content. Compared to traditional associative memories, CDAM inherits their tolerance to random noise in images and possesses greater robustness against correlated noise that distorts an image's spatial contextual structure. A three-layer recurrent neural tensor network (RNTN) is designed as the network model of CDAM. Multiple salient objects detection algorithm and partial radial basis function (PRBF) kernel are proposed for subject determination and content-driven association, respectively...
November 29, 2016: IEEE Transactions on Cybernetics
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