Computing the Degenerate Ground Space of Gapped Spin Chains in Polynomial Time

C. Eckart and G. Young, “The approximation of one matrix by another of lower rank,” Psychometrika , 1

1936

Earlier work this paper cites.

W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, “Quantum Monte Carlo simulations of solids,” Reviews of Modern Physics , 73

2001

Earlier work this paper cites.

R. R. dos Santos, “Introduction to quantum Monte Carlo simulations for fermionic systems,” Brazilian Journal of Physics , 33

2003

Earlier work this paper cites.

F. Verstraete and J. I. Cirac, “Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions,” arXiv:cond-mat/0407066 , (2004)

2004

Earlier work this paper cites.

T. Osborne, “Efficient Approximation of the Dynamics of One-Dimensional Quantum Spin Systems,” Physical Review Letters , 97

2006

Earlier work this paper cites.

F. Verstraete and J. Cirac, “Matrix product states represent ground states faithfully,” Physical Review B , 73

2006

Earlier work this paper cites.

R. J. Bartlett and M. Musiał, “Coupled-cluster theory in quantum chemistry,” Reviews of Modern Physics , 79

2007

Earlier work this paper cites.

M. Hastings, “An area law for one-dimensional quantum systems,” Journal of Statistical Mechanics , 2007

Original

2007

Earlier work this paper cites.

F. Verstraete, V. Murg, and J. Cirac, “Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems,” Advances in Physics , 57

Original

2008

Cited alongside, same era.

D. Aharonov, I. Arad, Z. Landau, and U. Vazirani, “The Detectability Lemma and Quantum Gap Amplification,” arXiv:0811.3412 , (2008)

Original

2008

Cited alongside, same era.

N. Schuch and J. I. Cirac, “Matrix product state and mean-field solutions for one-dimensional systems can be found efficiently,” Physical Review A , 82

Original

2010

Cited alongside, same era.

D. Aharonov, I. Arad, and S. Irani, “Efficient algorithm for approximating one-dimensional ground states,” Physical Review A , 82

Original

2010

Cited alongside, same era.

D. Aharonov, I. Arad, Z. Landau, and U. Vazirani, “Quantum Hamiltonian complexity and the detectability lemma,” arXiv:1011.3445 , (2010)

Z. Landau, U. Vazirani, and T. Vidick, “A polynomial-time algorithm for the ground state of 1D gapped local Hamiltonians,” Proceedings of the 5th Conference on Innovations in Theoretical Computer Science and Nature Physics , 11

Original

2013

Later among the works it cites.

I. Arad, A. Kitaev, Z. Landau, and U. Vazirani, “An area law and sub-exponential algorithm for 1D systems,” arXiv:1301.1162 , (2013)

Original

2013

Later among the works it cites.

Y. Huang, “A polynomial-time algorithm for approximating the ground state of 1D gapped Hamiltonians,” arXiv:1406.6355v1 , (2014)

Original

2014

Later among the works it cites.

Y. Huang, “Area law in one dimension: Degenerate ground states and Renyi entanglement entropy,” arXiv:1403.0327 , (2014)

Original

2014

Later among the works it cites.