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» Quantum algorithms for solvable groups
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ICTCS
2005
Springer
13 years 10 months ago
Quantum Algorithms for a Set of Group Theoretic Problems
This work introduces two decision problems, StabilizerD and Orbit CosetD, and gives quantum reductions from them to the problem Orbit Superposition (Friedl et al., 2003), as well a...
Stephen A. Fenner, Yong Zhang
ECCC
2010
103views more  ECCC 2010»
13 years 5 months ago
Time-Space Efficient Simulations of Quantum Computations
We give two time- and space-efficient simulations of quantum computations with intermediate measurements, one by classical randomized computations with unbounded error and the oth...
Dieter van Melkebeek, Thomas Watson
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
STOC
2005
ACM
138views Algorithms» more  STOC 2005»
14 years 5 months ago
Fast quantum algorithms for computing the unit group and class group of a number field
Computing the unit group and class group of a number field are two of the main tasks in computational algebraic number theory. Factoring integers reduces to solving Pell's eq...
Sean Hallgren