Quantum gravity states, entanglement graphs and second-quantized tensor networks
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep07(2021)052
Abstract: Abstract In recent years, the import of quantum information techniques in quantum gravity opened new perspectives in the study of the microscopic structure of spacetime. We contribute to such a program by establishing a precise… read more here.
Keywords: gravity; tensor networks; second quantized; quantum gravity ... See more keywords
Mean-field entanglement transitions in random tree tensor networks
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review B"
DOI: 10.1103/physrevb.102.064202
Abstract: Entanglement phase transitions in quantum chaotic systems subject to projective measurements and in random tensor networks have emerged as a new class of critical points separating phases with different entanglement scaling. We propose a mean-field… read more here.
Keywords: random tree; mean field; tensor; tree tensor ... See more keywords
Efficient calculation of three-dimensional tensor networks
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.107.165127
Abstract: We have proposed an efficient algorithm to calculate physical quantities in the translational invariant three-dimensional tensor networks, which is particularly relevant to the study of the three-dimensional classical statistical models and the (2+1)-dimensional quantum lattice… read more here.
Keywords: efficient calculation; calculation three; tensor networks; dimensional tensor ... See more keywords
Variational Monte Carlo method for fermionic models combined with tensor networks and applications to the hole-doped two-dimensional Hubbard model
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.085103
Abstract: The conventional tensor-network states employ real-space product states as reference wave functions. Here, we propose a many-variable variational Monte Carlo (mVMC) method combined with tensor networks by taking advantages of both to study fermionic models.… read more here.
Keywords: fermionic models; combined tensor; monte carlo; method ... See more keywords
Gauge fixing, canonical forms, and optimal truncations in tensor networks with closed loops
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review B"
DOI: 10.1103/physrevb.98.085155
Abstract: We describe an approach to fix the gauge degrees of freedom in tensor networks, including those with closed loops, which allows a canonical form for arbitrary tensor networks to be realized. Additionally, a measure for… read more here.
Keywords: network; gauge; networks closed; tensor networks ... See more keywords
Simulating topological tensor networks with Majorana qubits
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.99.115117
Abstract: The realization of topological quantum phases of matter remains a key challenge to condensed matter physics and quantum information science. In this work, we demonstrate that progress in this direction can be made by combining… read more here.
Keywords: tensor; simulating topological; tensor network; topological tensor ... See more keywords
Quantum error correction and entanglement spectrum in tensor networks
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.026008
Abstract: A sort of planar tensor networks with tensor constraints is investigated as a model for holography. We study the greedy algorithm generated by tensor constraints and propose the notion of critical protection (CP) against the… read more here.
Keywords: tensor; entanglement spectrum; tensor networks; error correction ... See more keywords
Approximate optimization, sampling, and spin-glass droplet discovery with tensor networks.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.025308
Abstract: We devise a deterministic algorithm to efficiently sample high-quality solutions of certain spin-glass systems that encode hard optimization problems. We employ tensor networks to represent the Gibbs distribution of all possible configurations. Using approximate tensor-network… read more here.
Keywords: glass; approximate optimization; spin glass; tensor networks ... See more keywords
Hyperinvariant Tensor Networks and Holography.
Sign Up to like & getrecommendations! Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.119.141602
Abstract: 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… read more here.
Keywords: class; mera; tensor; networks holography ... See more keywords
Differentiable Programming Tensor Networks
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review X"
DOI: 10.1103/physrevx.9.031041
Abstract: Differentiable programming is a fresh programming paradigm which composes parameterized algorithmic components and trains them using automatic differentiation (AD). The concept emerges from deep learning but is not only limited to training neural networks. We… read more here.
Keywords: programming tensor; tensor; differentiable programming; tensor network ... See more keywords