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» Quantum Computation and Lattice Problems
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GC
2002
Springer
13 years 7 months ago
Solitaire Lattices
One of the classical problems concerning the peg solitaire game is the feasibility issue. Tools used to show the infeasibility of various peg games include valid inequalities, know...
Antoine Deza, Shmuel Onn
STOC
1998
ACM
112views Algorithms» more  STOC 1998»
13 years 12 months ago
Quantum Circuits with Mixed States
Current formal models for quantum computation deal only with unitary gates operating on “pure quantum states”. In these models it is difficult or impossible to deal formally w...
Dorit Aharonov, Alexei Kitaev, Noam Nisan
FOCS
2007
IEEE
14 years 2 months ago
Quantum Algorithms for Hidden Nonlinear Structures
Attempts to find new quantum algorithms that outperform classical computation have focused primarily on the nonabelian hidden subgroup problem, which generalizes the central prob...
Andrew M. Childs, Leonard J. Schulman, Umesh V. Va...
FCT
1991
Springer
13 years 11 months ago
Lattice Basis Reduction: Improved Practical Algorithms and Solving Subset Sum Problems
We report on improved practical algorithms for lattice basis reduction. We propose a practical oating point version of the L3{algorithm of Lenstra, Lenstra, Lovasz (1982). We pres...
Claus-Peter Schnorr, M. Euchner
FOCS
2009
IEEE
14 years 2 months ago
Two-Message Quantum Interactive Proofs Are in PSPACE
We prove that QIP(2), the class of problems having two-message quantum interactive proof systems, is a subset of PSPACE. This relationship is obtained by means of an efficient pa...
Rahul Jain, Sarvagya Upadhyay, John Watrous