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» Lower bounds for local search by quantum arguments
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COMPGEOM
2006
ACM
15 years 3 months ago
Lower bounds on locality sensitive hashing
Given a metric space (X, dX), c ≥ 1, r > 0, and p, q ∈ [0, 1], a distribution over mappings H : X → N is called a (r, cr, p, q)-sensitive hash family if any two points in...
Rajeev Motwani, Assaf Naor, Rina Panigrahy
FOCS
2008
IEEE
15 years 4 months ago
The Bayesian Learner is Optimal for Noisy Binary Search (and Pretty Good for Quantum as Well)
We use a Bayesian approach to optimally solve problems in noisy binary search. We deal with two variants: • Each comparison is erroneous with independent probability 1 − p. â€...
Michael Ben-Or, Avinatan Hassidim
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
15 years 1 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson
CORR
2002
Springer
166views Education» more  CORR 2002»
14 years 9 months ago
Quantum Time-Space Tradeoffs for Sorting
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Hartmut Klauck
ICALP
2003
Springer
15 years 2 months ago
A Direct Sum Theorem in Communication Complexity via Message Compression
We prove lower bounds for the direct sum problem for two-party bounded error randomised multipleround communication protocols. Our proofs use the notion of information cost of a p...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen