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DATE
2004
IEEE
144views Hardware» more  DATE 2004»
15 years 10 months ago
Smaller Two-Qubit Circuits for Quantum Communication and Computation
We show how to implement an arbitrary two-qubit unitary operation using any of several quantum gate libraries with small a priori upper bounds on gate counts. In analogy to librar...
Vivek V. Shende, Igor L. Markov, Stephen S. Bulloc...
SIROCCO
2007
15 years 8 months ago
Optimal Conclusive Sets for Comparator Networks
A set of input vectors S is conclusive if correct functionality for all input vectors is implied by correct functionality over vectors in S. We consider four functionalities of co...
Guy Even, Tamir Levi, Ami Litman
ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
15 years 6 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
ALGORITHMICA
2008
56views more  ALGORITHMICA 2008»
15 years 6 months ago
Eliminating Cycles in the Discrete Torus
In this paper we consider the following question: how many vertices of the discrete torus must be deleted so that no topologically nontrivial cycles remain? We look at two differe...
Béla Bollobás, Guy Kindler, Imre Lea...
CORR
2008
Springer
154views Education» more  CORR 2008»
15 years 6 months ago
On Pure and (approximate) Strong Equilibria of Facility Location Games
We study social cost losses in Facility Location games, where n selfish agents install facilities over a network and connect to them, so as to forward their local demand (expressed...
Thomas Dueholm Hansen, Orestis Telelis