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STOC
1993
ACM
134views Algorithms» more  STOC 1993»
13 years 10 months ago
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Ethan Bernstein, Umesh V. Vazirani
STOC
1997
ACM
122views Algorithms» more  STOC 1997»
13 years 10 months ago
Fault-Tolerant Quantum Computation With Constant Error
Shor has showed how to perform fault tolerant quantum computation when the probability for an error in a qubit or a gate, η, decays with the size of the computation polylogarithmi...
Dorit Aharonov, Michael Ben-Or
ISMVL
2002
IEEE
84views Hardware» more  ISMVL 2002»
13 years 11 months ago
The Role of Super-Fast Transforms in Speeding Up Quantum Computations
We present the role that spectral methods play in the development of the most impressive quantum algorithms, such as the polynomial time number factoring algorithm by Shor. While ...
Zeljko Zilic, Katarzyna Radecka
CORR
2002
Springer
166views Education» more  CORR 2002»
13 years 6 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
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
14 years 25 days ago
Parallel Approximation of Non-interactive Zero-sum Quantum Games
This paper studies a simple class of zero-sum games played by two competing quantum players: each player sends a mixed quantum state to a referee, who performs a joint measurement...
Rahul Jain, John Watrous