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» Quantum computation and quantum information
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EJC
2010
13 years 10 months ago
On the equivalence between real mutually unbiased bases and a certain class of association schemes
Mutually unbiased bases (MUBs) in complex vector spaces play several important roles in quantum information theory. At present, even the most elementary questions concerning the m...
Nicholas LeCompte, William J. Martin, William Owen...
DAC
2004
ACM
14 years 10 months ago
A new heuristic algorithm for reversible logic synthesis
Reversible logic has applications in many fields, including quantum computing. Synthesis techniques for reversible circuits are not well developed, even for functions with a small...
Pawel Kerntopf
STOC
2005
ACM
113views Algorithms» more  STOC 2005»
14 years 10 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
DCC
2001
IEEE
14 years 9 months ago
The Invariants of the Clifford Groups
The automorphism group of the Barnes-Wall lattice Lm in dimension 2m (m = 3) is a subgroup of index 2 in a certain "Clifford group" Cm of structure 21+2m + .O+ (2m, 2). ...
Gabriele Nebe, Eric M. Rains, Neil J. A. Sloane
ICCAD
2007
IEEE
148views Hardware» more  ICCAD 2007»
14 years 6 months ago
Fast exact Toffoli network synthesis of reversible logic
— The research in the field of reversible logic is motivated by its application in low-power design, optical computing and quantum computing. Hence synthesis of reversible logic...
Robert Wille, Daniel Große