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FOCS
2006
IEEE
14 years 2 months ago
2006
IEEE
We show that quantum circuits cannot be made faulttolerant against a depolarizing noise level of ˆθ = (6 − 2 √ 2)/7 ≈ 45%, thereby improving on a previous bound of 50% (du...
FOCS
2006
IEEE
14 years 2 months ago
2006
IEEE
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
FOCS
2006
IEEE
14 years 2 months ago
2006
IEEE
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
FOCS
2006
IEEE
14 years 2 months ago
2006
IEEE
Spin systems are a general way to describe local interactions between nodes in a graph. In statistical mechanics, spin systems are often used as a model for physical systems. In c...
FOCS
2006
IEEE
14 years 2 months ago
2006
IEEE
We extend the binary search technique to searching in trees. We consider two models of queries: questions about vertices and questions about edges. We present a general approach t...