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Vanishing gradients can pose substantial obstacles for high-dimensional optimization problems.
L. P. Kadanoff, Scaling laws for Ising models near T c {T}_{c}
1966
Earlier work this paper cites.
R. J. Baxter, Dimers on a rectangular lattice
1968
Earlier work this paper cites.
F. J. Wegner, Corrections to scaling laws
1972
Earlier work this paper cites.
K. G. Wilson, The renormalization group: Critical phenomena and the Kondo problem
1975
Earlier work this paper cites.
R. Jullien, J. Fields, and S. Doniach, Kondo lattice: Real-space renormalization-group approach
1977
Earlier work this paper cites.
S. D. Drell, M. Weinstein, and S. Yankielowicz, Quantum field theories on a lattice: Variational methods for arbitrary coupling strengths and the Ising model in a transverse magnetic field
1977
Earlier work this paper cites.
D. Weingarten, Asymptotic behavior of group integrals in the limit of infinite rank
1978
Earlier work this paper cites.
L. Accardi, Topics in quantum probability
1981
Earlier work this paper cites.
D. C. Liu and J. Nocedal, On the limited memory BFGS method for large scale optimization
1989
Earlier work this paper cites.
S. R. White, Density matrix formulation for quantum renormalization groups
1992
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, Finitely correlated states on quantum spin chains
1992
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, Ground states of VBS models on cayley trees
1992
Earlier work this paper cites.
M. Srednicki, Entropy and area
1993
Earlier work this paper cites.
C. Callan and F. Wilczek, On geometric entropy
1994
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, Geometric and renormalized entropy in conformal field theory
1994
Earlier work this paper cites.
S. T. Smith, in Hamiltonian and Gradient Flows, Algorithms, and Control
1994
Earlier work this paper cites.
H. Otsuka, Density-matrix renormalization-group study of the spin- 1 / 2 1/2 XXZ \mathrm{XXZ} antiferromagnet on the Bethe lattice
1996
Earlier work this paper cites.
H. Niggemann, A. Klümper, and J. Zittartz, Quantum phase transition in spin-3/2 systems on the hexagonal lattice - optimum ground state approach
1997
Earlier work this paper cites.
S. Rommer and S. Östlund, A class of ansatz wave functions for 1D spin systems and their relation to DMRG
1997
Earlier work this paper cites.
S. Hochreiter, The vanishing gradient problem during learning recurrent neural nets and problem solutions
1998
Earlier work this paper cites.
M. Salmhofer, Renormalization: An Introduction
1999
Earlier work this paper cites.
K. Fukumizu and S. Amari, Local minima and plateaus in hierarchical structures of multilayer perceptrons
2000
Earlier work this paper cites.
G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Entanglement in quantum critical phenomena
2003
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Renormalization algorithms for quantum-many body systems in two and higher dimensions
2004
Earlier work this paper cites.
B. Q. Jin and V. E. Korepin, Quantum spin chain, Toeplitz determinants and Fisher-Hartwig conjecture
2004
Earlier work this paper cites.
J. I. Latorre, E. Rico, and G. Vidal, Ground state entanglement in quantum spin chains
2004
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Entanglement entropy and quantum field theory
2004
Earlier work this paper cites.
F. Vatan and C. Williams, Optimal quantum circuits for general two-qubit gates
2004
Earlier work this paper cites.
V. V. Shende, I. L. Markov, and S. S. Bullock, Minimal universal two-qubit controlled-NOT-based circuits
2004
Earlier work this paper cites.
M. B. Plenio, J. Eisert, J. Dreißig, and M. Cramer, Entropy, entanglement, and area: analytical results for harmonic lattice systems
2005
Earlier work this paper cites.
H.-Q. Zhou, T. Barthel, J. O. Fjærestad, and U. Schollwöck, Entanglement and boundary critical phenomena
2006
Earlier work this paper cites.
M. M. Wolf, Violation of the entropic area law for fermions
2006
Earlier work this paper cites.
D. Gioev and I. Klich, Entanglement entropy of fermions in any dimension and the Widom conjecture
2006
Earlier work this paper cites.
T. Barthel, M.-C. Chung, and U. Schollwöck, Entanglement scaling in critical two-dimensional fermionic and bosonic systems
2006
Earlier work this paper cites.
W. Li, L. Ding, R. Yu, T. Roscilde, and S. Haas, Scaling behavior of entanglement in two- and three-dimensional free-fermion systems
2006
Cited alongside, same era.
M. Cramer, J. Eisert, M. B. Plenio, and J. Dreißig, Entanglement-area law for general bosonic harmonic lattice systems
2006
Cited alongside, same era.
Y.-Y. Shi, L.-M. Duan, and G. Vidal, Classical simulation of quantum many-body systems with a tree tensor network
2006
Cited alongside, same era.
J. Kempe, A. Kitaev, and O. Regev, The complexity of the local Hamiltonian problem
2006
Cited alongside, same era.
B. Collins and P. Śniady, Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
2006
Cited alongside, same era.
J. Cho, Realistic area-law bound on entanglement from exponentially decaying correlations
2018
Later among the works it cites.
J.-G. Liu, Y.-H. Zhang, Y. Wan, and L. Wang, Variational quantum eigensolver with fewer qubits
2019
Later among the works it cites.
A. Smith, M. Kim, F. Pollmann, and J. Knolle, Simulating quantum many-body dynamics on a current digital quantum computer
2019
Later among the works it cites.
T. Kuwahara and K. Saito, Area law of noncritical ground states in 1D long-range interacting systems
2020
Later among the works it cites.
M. P. Zaletel and F. Pollmann, Isometric tensor network states in two dimensions
2020
Later among the works it cites.
M. Cerezo, A. Sone, T. Volkoff, L. Cincio, and P. J. Coles, Cost function dependent barren plateaus in shallow parametrized quantum circuits
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2007
Cited alongside, same era.
M. B. Hastings, Entropy and entanglement in quantum ground states
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Cited alongside, same era.
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac, Matrix product state representations
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Cited alongside, same era.
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Cited alongside, same era.
R. Oliveira and B. M. Terhal, The complexity of quantum spin systems on a two-dimensional square lattice
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Cited alongside, same era.
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Cited alongside, same era.
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