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» A Lattice Problem in Quantum NP
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COCO
2004
Springer
147views Algorithms» more  COCO 2004»
13 years 8 months ago
The Complexity of the Covering Radius Problem on Lattices and Codes
We initiate the study of the computational complexity of the covering radius problem for point lattices, and approximation versions of the problem for both lattices and linear cod...
Venkatesan Guruswami, Daniele Micciancio, Oded Reg...
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
13 years 8 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson
CORR
2002
Springer
166views Education» more  CORR 2002»
13 years 4 months ago
Quantum Time-Space Tradeoffs for Sorting
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Hartmut Klauck
STOC
2005
ACM
198views Algorithms» more  STOC 2005»
14 years 5 months ago
On lattices, learning with errors, random linear codes, and cryptography
Our main result is a reduction from worst-case lattice problems such as GAPSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learnin...
Oded Regev
CRYPTO
2008
Springer
134views Cryptology» more  CRYPTO 2008»
13 years 6 months ago
Noninteractive Statistical Zero-Knowledge Proofs for Lattice Problems
We construct noninteractive statistical zero-knowledge (NISZK) proof systems for a variety of standard approximation problems on lattices, such as the shortest independent vectors...
Chris Peikert, Vinod Vaikuntanathan