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We study the complexity of QMA proof systems with inverse exponentially small promise gap.
Time/space trade-offs for reversible computation
Charles H. Bennett · 1989
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Space-bounded quantum complexity
John Watrous · 1999
Earlier work this paper cites.
Reversible space equals deterministic space
Klaus-Jörn Lange, Pierre McKenzie, and Alain Tapp · 2000
Earlier work this paper cites.
Classical and Quantum Computation
A. Yu. Kitaev, A. H. Shen, and M. N. Vyalyi · 2002
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3-local Hamiltonian is QMA-complete
Julia Kempe and Oded Regev · 2003
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On the complexity of simulating space-bounded quantum computations
John Watrous · 2003
Earlier work this paper cites.
Renormalization algorithms for quantum-many body systems in two and higher dimensions
F. Verstraete and J. I. Cirac · 2004
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Quantum computing, postselection, and probabilistic polynomial-time
Scott Aaronson · 2005
Cited alongside, same era.
Quantum Arthur-Merlin games
Chris Marriott and John Watrous · 2005
Cited alongside, same era.
Computational complexity of projected entangled pair states
Norbert Schuch, Michael M. Wolf, Frank Verstraete, and J. Ignacio Cirac · 2007
Cited alongside, same era.
Fast amplification of QMA
Daniel Nagaj, Pawel Wocjan, and Yong Zhang · 2011
Cited alongside, same era.
Counting hierarchies: polynomial time and constant depth circuits
Eric W Allender and Klaus W Wagner
Cited in the paper.
The Quantum PCP Conjecture
D. Aharonov, I. Arad, and T. Vidick · 2013
Later among the works it cites.
On the complexity of the multivariate resultant
Bruno Grenet, Pascal Koiran, and Natacha Portier · 2013
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Exponential improvement in precision for simulating sparse hamiltonians
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma · 2014
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QMA-complete problems
Adam D. Bookatz · 2014
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Hamiltonian simulation with nearly optimal dependence on all parameters
Dominic W. Berry, Andrew M. Childs, and Robin Kothari · 2015
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