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» Quantum Algorithms for a Set of Group Theoretic Problems
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ICALP
2005
Springer
13 years 10 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
ISCA
2005
IEEE
128views Hardware» more  ISCA 2005»
13 years 11 months ago
An Evaluation Framework and Instruction Set Architecture for Ion-Trap Based Quantum Micro-Architectures
: The theoretical study of quantum computation has yielded efficient algorithms for some traditionally hard problems. Correspondingly, experimental work on the underlying physical...
Steven Balensiefer, Lucas Kreger-Stickles, Mark Os...
FOCS
2002
IEEE
13 years 10 months ago
Quantum Computation and Lattice Problems
We present the first explicit connection between quantum computation and lattice problems. Namely, our main result is a solution to the Unique Shortest Vector Problem (SVP) under ...
Oded Regev
STOC
1993
ACM
134views Algorithms» more  STOC 1993»
13 years 9 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
FOCS
2003
IEEE
13 years 10 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis