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One of the crown jewels of complexity theory is Valiant's 1979 theorem that computing the permanent of an n*n matrix is #P-hard.
The complexity of computing the permanent
L. G. Valiant · 1979
Earlier work this paper cites.
On the computational complexity of the Jones and Tutte polynomials
F. Jaeger, D. L. Vertigan, and D. Welsh · 1990
Earlier work this paper cites.
Experimental realization of any discrete unitary operator
M. Reck, A. Zeilinger, H. J. Bernstein, and P. Bertani · 1994
Earlier work this paper cites.
Elementary gates for quantum computation
A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. Smolin, and H. Weinfurter · 1995
Earlier work this paper cites.
PP is closed under intersection
R. Beigel, N. Reingold, and D. Spielman · 1995
Earlier work this paper cites.
Quantum Computation and Quantum Information
M. Nielsen and I. Chuang · 2000
Cited alongside, same era.
A scheme for efficient quantum computation with linear optics
E. Knill, R. Laflamme, and G. J. Milburn · 2001
Cited alongside, same era.
Permanents in linear optical networks
S. Scheel · 2004
Cited alongside, same era.
Quantum computing, postselection, and probabilistic polynomial-time
S. Aaronson · 2005
Cited alongside, same era.
How hard is it to approximate the Jones polynomial?
G. Kuperberg · 2009
Cited alongside, same era.
A simple encoding of a quantum circuit amplitude as a matrix permanent
T. Rudolph · 2009
Later among the works it cites.
Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy
M. Bremner, R. Jozsa, and D. Shepherd · 2010
Later among the works it cites.
Relationless completeness and separations
P. Hrubes, A. Wigderson, and A. Yehudayoff · 2010
Later among the works it cites.
The computational complexity of linear optics
S. Aaronson and A. Arkhipov · 2011
Closest in time.
Quantum proofs for classical theorems
A. Drucker and R. de Wolf · 2011
Closest in time.
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