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Tensor networks have a gauge degree of freedom on the virtual degrees of freedom that are contracted.
The classical groups: their invariants and representations
Hermann Weyl · 1946
Earlier work this paper cites.
Remarks on Berger’s paper on the domino problem
Yu Gurevich, I.O. Koryakov, et al · 1972
Earlier work this paper cites.
Trace identities of full matrix algebras over a field of characteristic zero
Ju P. Razmyslov · 1974
Earlier work this paper cites.
The invariant theory of n × n n\times n matrices
Claudio Procesi · 1976
Earlier work this paper cites.
The length of vectors in representation spaces
George Kempf and Linda Ness · 1979
Earlier work this paper cites.
Cohomology of quotients in symplectic and algebraic geometry
Frances Clare Kirwan · 1984
Earlier work this paper cites.
Generating the ring of matrix invariants
Edward Formanek · 1986
Earlier work this paper cites.
Finitely correlated states on quantum spin chains
M. Fannes, B. Nachtergaele, and R. F. Werner · 1992
Earlier work this paper cites.
Density matrix formulation for quantum renormalization groups
S. R. White · 1992
Earlier work this paper cites.
Geometric invariant theory
David Mumford, John Fogarty, and Frances Kirwan · 1994
Earlier work this paper cites.
Classical invariant theory, a primer
Hanspeter Kraft and Claudio Procesi · 1996
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Normal forms and entanglement measures for multipartite quantum states
Frank Verstraete, Jeroen Dehaene, and Bart De Moor · 2003
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Efficient classical simulation of slightly entangled quantum computations
Guifré Vidal · 2003
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Quantum marginal problem and representations of the symmetric group
Alexander Klyachko · 2004
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Renormalization algorithms for quantum-many body systems in two and higher dimensions
F. Verstraete and J. I. Cirac · 2004
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DMRG and periodic boundary conditions: a quantum information perspective
F. Verstraete, D. Porras, and J. I. Cirac · 2004
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Quantum state transformations and the schubert calculus
Sumit Daftuar and Patrick Hayden · 2005
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The spectra of quantum states and the kronecker coefficients of the symmetric group
Matthias Christandl and Graeme Mitchison · 2006
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Quantum marginal problem and N-representability
Alexander A. Klyachko · 2006
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Accurate determination of tensor network state of quantum lattice models in two dimensions
Hong-Chen Jiang, Zheng-Yu Weng, and Tao Xiang · 2008
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Infinite time-evolving block decimation algorithm beyond unitary evolution
Roman Orus and Guifre Vidal · 2008
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Positive Definite Matrices
Rajendra Bhatia · 2009
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All maximally entangled four-qubit states
Gilad Gour and Nolan R. Wallach · 2010
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Characterizing symmetries in a projected entangled pair state
D. Pérez-García, M. Sanz, C. E. Gonzalez-Guillen, M. M. Wolf, and J. I. Cirac · 2010
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A quantum version of Wielandt’s inequality
Mikel Sanz, David Perez-Garcia, Michael M. Wolf, and Juan I. Cirac · 2010
Earlier work this paper cites.
Classification of Gapped Symmetric Phases in 1D Spin Systems
Xie Chen, Z.-C. Gu, and X.-G. Wen · 2011
Earlier work this paper cites.
Entanglement spectrum and boundary theories with projected entangled-pair states
J. Ignacio Cirac, Didier Poilblanc, Norbert Schuch, and Frank Verstraete · 2011
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The density-matrix renormalization group in the age of matrix product states
Ulrich Schollwöck · 2011
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Classifying quantum phases using matrix product states and PEPS
N. Schuch, D. Perez-Garcia, and I. Cirac · 2011
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Fate of the cluster state on the square lattice in a magnetic field
Henning Kalis, Daniel Klagges, Román Orús, and Kai Phillip Schmidt · 2012
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Symmetry protection of topological phases in one-dimensional quantum spin systems
Frank Pollmann, Erez Berg, Ari M. Turner, and Masaki Oshikawa · 2012
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Algebraic complexity theory
Peter Bürgisser, Michael Clausen, and Mohammad A Shokrollahi · 2013
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Metric spaces of non-positive curvature
Martin R. Bridson and André Haefliger · 2013
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Topological order in the projected entangled-pair states formalism: Transfer operator and boundary Hamiltonians
Norbert Schuch, Didier Poilblanc, J. Ignacio Cirac, and David Perez-Garcia · 2013
Projected entangled pair states with continuous virtual symmetries
Henrik Dreyer, J. Ignacio Cirac, and Norbert Schuch · 2018
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Gauge fixing, canonical forms and optimal truncations in tensor networks with closed loops
Glen Evenbly · 2018
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The Paulsen problem, continuous operator scaling, and smoothed analysis
Tsz Chiu Kwok, Lap Chi Lau, Yin Tat Lee, and Akshay Ramachandran · 2018
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Normal projected entangled pair states generating the same state
Andras Molnar, José Garre-Rubio, David Pérez-García, Norbert Schuch, and J. Ignacio Cirac · 2018
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A generalization of the injectivity condition for projected entangled pair states
Andras Molnar, Yimin Ge, Norbert Schuch, and J. Ignacio Cirac · 2018
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Quantum supremacy using a programmable superconducting processor
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Entanglement polytopes: multiparticle entanglement from single-particle information
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Algorithms for finite projected entangled pair states
Michael Lubasch, J. Ignacio Cirac, and Mari-Carmen Banuls · 2014
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Unifying projected entangled pair state contractions
Michael Lubasch, J. Ignacio Cirac, and Mari-Carmen Banuls · 2014
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Multipartite Quantum States and their Marginals
Michael Walter · 2014
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Computational invariant theory
Harm Derksen and Gregor Kemper · 2015
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Infinite projected entangled pair states algorithm improved: Fast full update and gauge fixing
Ho N. Phien, Johann A. Bengua, Hoang D. Tuan, Philippe Corboz, and Román Orús · 2015
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Search problems in algebraic complexity, GCT, and hardness of generator for invariant rings
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Locality at the boundary implies gap in the bulk for 2D PEPS
Michael J. Kastoryano, Angelo Lucia, and David Perez-Garcia · 2019
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An improved bound for the lengths of matrix algebras
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Tensor network representations from the geometry of entangled states
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Algorithms for orbit closure separation for invariants and semi-invariants of matrices
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A ℤ 2 \mathbb{Z}_{2} -index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
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Locality estimates for complex time evolution in 1D
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Simulating large quantum circuits on a small quantum computer
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Tensor network contractions: methods and applications to quantum many-body systems
Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, and Maciej Lewenstein · 2020
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Decidability of periodic tilings of the plane, 2020
Norbert Schuch · 2020
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Projected entangled pair states: Fundamental analytical and numerical limitations
Giannicola Scarpa, András Molnár, Yimin Ge, Juan José García-Ripoll, Norbert Schuch, David Pérez-García, and Sofyan Iblisdir · 2020
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Optimization at the boundary of the tensor network variety
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
J. Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete · 2021
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Polystability in positive characteristic and degree lower bounds for invariant rings
Harm Derksen and Visu Makam · 2021
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A quantum magnetic analogue to the critical point of water
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An aperiodic set of 11 Wang tiles
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Simulating 2+1 D ℤ 3 \mathbb{Z}_{3} lattice gauge theory with an infinite projected entangled-pair state
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Efficient classical simulation of random shallow 2d quantum circuits
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