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» Quantum Computation and Lattice Problems
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STOC
2005
ACM
198views Algorithms» more  STOC 2005»
14 years 8 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
ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 7 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng
JELIA
2004
Springer
14 years 1 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
STOC
2006
ACM
141views Algorithms» more  STOC 2006»
14 years 8 months ago
Zero-knowledge against quantum attacks
It is proved that several interactive proof systems are zero-knowledge against general quantum attacks. This includes the Goldreich?Micali?Wigderson classical zero-knowledge proto...
John Watrous