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Quantum Hamiltonian complexity studies computational complexity aspects of local Hamiltonians and ground states; these questions can be viewed as generalizations of classical computational complexity problems related to local constraint satisfaction (such as SAT), with the additional ingredient of multi-particle entanglement.
C. Eckart and G. Young, “The approximation of one matrix by another of lower rank,”
1936
Earlier work this paper cites.
E. Lieb and D. Robinson, “The finite group velocity of quantum spin systems,”
1972
Earlier work this paper cites.
10.1007/BF01609396
G. Lindblad, “Completely positive maps and entropy inequalities,” · 1975
Earlier work this paper cites.
A. Uhlmann, “Relative entropy and the wigner-yanase-dyson-lieb concavity in an interpolation theory,” · 1977
Earlier work this paper cites.
I. Affleck, T. Kennedy, E. Lieb, and H. Tasaki, “Rigorous results on valence-bond ground states in antiferromagnets,”
1987
Earlier work this paper cites.
S. Östlund and S. Rommer, “Thermodynamic limit of density matrix renormalization,”
1995
Earlier work this paper cites.
S. Rommer and S. Östlund, “Class of ansatz wave functions for one-dimensional spin systems and their relation to the density matrix renormalization group,”
1997
Earlier work this paper cites.
A. Y. Kitaev, “Fault-tolerant quantum computation by anyons,”
2003
Earlier work this paper cites.
G. Vidal, “Efficient simulation of one-dimensional quantum many-body systems,”
2004
Cited alongside, same era.
F. Verstraete, D. Porras, and J. I. Cirac, “Density matrix renormalization group and periodic boundary conditions: A quantum information perspective,”
2004
Cited alongside, same era.
F. Verstraete and J. I. Cirac, “Renormalization algorithms for quantum-many body systems in two and higher dimensions,”
2004
Cited alongside, same era.
M. B. Hastings, “Lieb-schultz-mattis in higher dimensions,”
2004
Cited alongside, same era.
Y. Shi, L. Duan, and G. Vidal, “Classical simulation of quantum many-body systems with a tree tensor network,”
2006
Cited alongside, same era.
M. Hastings, “An Area Law for One Dimensional Quantum Systems,”
I. Dinur, “The pcp theorem by gap amplification,”
2007
Later among the works it cites.
M. B. Hastings, “Entropy and entanglement in quantum ground states,”
2007
Later among the works it cites.
2009
Later among the works it cites.
F. Verstraete, M. Wolf, and J. Cirac, “Quantum computation and quantum-state engineering driven by dissipation,”
2009
Later among the works it cites.
E. Farhi, D. Gosset, A. Hassidim, A. Lutomirski, D. Nagaj, and P. Shor, “Quantum state restoration and single-copy tomography,”
2009
Later among the works it cites.
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2007
Cited alongside, same era.
G. Vidal, “Entanglement renormalization,”
2007
Cited alongside, same era.
2010
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M. B. Hastings, “Locality in Quantum Systems,”
2010
Closest in time.