Fetching the paper…
Reading the bibliography…
We argue that the natural way to generalise a tensor network variational class to a continuous quantum system is to use the Feynman path integral to implement a continuous tensor contraction.
Carlton M. Caves and G. J. Milburn, Quantum-mechanical model for continuous position measurements , Phys. Rev. A 36
1987
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, and R. F. Werner, Finitely correlated states on quantum spin chains , Comm. Math. Phys. 144
1992
Earlier work this paper cites.
S. R. White, Density matrix formulation for quantum renormalization groups , Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
Assa Auerbach, Interacting electrons and quantum magnetism , Springer-Verlag, New York, 1994
1994
Earlier work this paper cites.
Subir Sachdev, Quantum phase transitions , Cambridge University Press, Cambridge, 1999
1999
Earlier work this paper cites.
R. Clifton and H. Halvorson, Bipartite-mixed-states of infinite-dimensional systems are generically nonseparable , Phys. Rev. A 61
2000
Earlier work this paper cites.
Guifré Vidal, Efficient Classical Simulation of Slightly Entangled Quantum Computations , Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
by same author, Efficient Simulation of One-Dimensional Quantum Many-Body Systems , Phys. Rev. Lett. 93
2003
Earlier work this paper cites.
Thierry Giamarchi, Quantum physics in one dimension , International Series of Monographs on Physics, no. 121, Clarendon Press, Oxford, 2004
2004
Cited alongside, same era.
F. Verstraete and J. I. Cirac, Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions , 2004
2004
Cited alongside, same era.
U. Schollwöck, The density-matrix renormalization group , Rev. Modern Phys. 77
2005
Cited alongside, same era.
Tobias J. Osborne, Efficient Approximation of the Dynamics of One-Dimensional Quantum Spin Systems , Phys. Rev. Lett. 97
2006
Cited alongside, same era.
G. Vidal, A class of quantum many-body states that can be efficiently simulated , cond-mat/0610099, 2006
2006
Cited alongside, same era.
J. Eisert, M. Cramer, and M. B. Plenio, Colloquium: Area laws for the entanglement entropy , Rev. Mod. Phys. 82
2010
Later among the works it cites.
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Henri Verschelde, and Frank Verstraete, Applying the variational principle to ( 1 + 1 ) (1+1) -dimensional quantum field theories , Phys. Rev. Lett. 105
2010
Later among the works it cites.
Tobias J. Osborne, Jens Eisert, and Frank Verstraete, Holographic quantum states , Phys. Rev. Lett. 105
2010
Later among the works it cites.
by same author, Continuous matrix product states for quantum fields , Phys. Rev. Lett. 104
2010
Later among the works it cites.
2011
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
M. B. Hastings, An area law for one-dimensional quantum systems , J. Stat. Mech. (2007), no. 8, P08024. MR 2338267 (2008h:82010)
2007
Cited alongside, same era.
by same author, Entanglement Renormalization , Phys. Rev. Lett. 99
2007
Cited alongside, same era.
M. C. Bañuls, M. B. Hastings, F. Verstraete, and J. I. Cirac, Matrix Product States for Dynamical Simulation of Infinite Chains , Phys. Rev. Lett. 102
2009
Cited alongside, same era.
Later among the works it cites.
2011
Later among the works it cites.
Ulrich Schollwöck, The density-matrix renormalization group in the age of matrix product states , Ann. Phys. 326
2011
Later among the works it cites.