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» On the Completeness of Quantum Computation Models
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STACS
2005
Springer
15 years 11 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
FOCS
2006
IEEE
15 years 12 months ago
New Limits on Fault-Tolerant Quantum Computation
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...
Harry Buhrman, Richard Cleve, Monique Laurent, Noa...
CORR
2000
Springer
81views Education» more  CORR 2000»
15 years 5 months ago
Poly-locality in quantum computing
A polynomial depth quantum circuit affects, by definition, a poly-local unitary transformation of a tensor product state space. It is a reasonable belief [Fe], [L], [FKW] that, at ...
Michael H. Freedman
COMPUTER
2002
79views more  COMPUTER 2002»
15 years 5 months ago
A Practical Architecture for Reliable Quantum Computers
wever, by using a simple model of abstract building blocks: quantum bits, gates, and algorithms, and the available implementation technologies--in all their imperfections.7 The bas...
Mark Oskin, Frederic T. Chong, Isaac L. Chuang
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
15 years 11 months ago
Graph Properties and Circular Functions: How Low Can Quantum Query Complexity Go?
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
Xiaoming Sun, Andrew Chi-Chih Yao, Shengyu Zhang