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» A Lattice Problem in Quantum NP
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JELIA
2004
Springer
13 years 10 months ago
Reasoning About Quantum Systems
Abstract. A new logic is proposed for reasoning about quantum systems. The logic embodies the postulates of quantum physics and it was designed from the semantics upwards by identi...
Paulo Mateus, Amílcar Sernadas
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
FOCS
2004
IEEE
13 years 9 months ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
FOCS
2007
IEEE
13 years 11 months ago
The Power of Quantum Systems on a Line
: We study the computational strength of quantum particles (each of finite dimensionality) arranged on a line. First, we prove that it is possible to perform universal adiabatic q...
Dorit Aharonov, Daniel Gottesman, Sandy Irani, Jul...
FSTTCS
1998
Springer
13 years 9 months ago
Alternative Computational Models: A Comparison of Biomolecular and Quantum Computation
Molecular Computation (MC) is massively parallel computation where data is stored and processed within objects of molecular size. Biomolecular Computation (BMC) is MC using biotec...
John H. Reif