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» Quantum Computation and Lattice Problems
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FOCS
2002
IEEE
13 years 10 months ago
Quantum Computation and Lattice Problems
We present the first explicit connection between quantum computation and lattice problems. Namely, our main result is a solution to the Unique Shortest Vector Problem (SVP) under ...
Oded Regev
EUROCRYPT
2011
Springer
12 years 8 months ago
Making NTRU as Secure as Worst-Case Problems over Ideal Lattices
Abstract. NTRUEncrypt, proposed in 1996 by Hostein, Pipher and Silverman, is the fastest known lattice-based encryption scheme. Its moderate key-sizes, excellent asymptotic perfor...
Damien Stehlé, Ron Steinfeld
FOCS
2003
IEEE
13 years 10 months ago
A Lattice Problem in Quantum NP
We consider coGapSV P√ n, a gap version of the shortest vector in a lattice problem. This problem is known to be in AM ∩coNP but is not known to be in NP or in MA. We prove th...
Dorit Aharonov, Oded Regev
IACR
2011
115views more  IACR 2011»
12 years 4 months ago
Pseudorandom Functions and Lattices
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically effici...
Abhishek Banerjee, Chris Peikert, Alon Rosen
AIEDAM
2008
102views more  AIEDAM 2008»
13 years 5 months ago
Machine invention of quantum computing circuits by means of genetic programming
We demonstrate the use of genetic programming in the automatic invention of quantum computing circuits that solve problems of potential theoretical and practical significance. We ...
Lee Spector, Jon Klein