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» Quantum Lower Bounds by Polynomials
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COCO
2005
Springer
110views Algorithms» more  COCO 2005»
14 years 28 days ago
Prior Entanglement, Message Compression and Privacy in Quantum Communication
Consider a two-party quantum communication protocol for computing some function f : {0, 1}n × {0, 1}n → Z. We show that the first message of P can be compressed to O(k) classi...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
FOCS
2000
IEEE
13 years 11 months ago
Succinct quantum proofs for properties of finite groups
In this paper we consider a quantum computational variant of nondeterminism based on the notion of a quantum proof, which is a quantum state that plays a role similar to a certifi...
John Watrous
RECOMB
2005
Springer
14 years 7 months ago
Improved Recombination Lower Bounds for Haplotype Data
Recombination is an important evolutionary mechanism responsible for the genetic diversity in humans and other organisms. Recently, there has been extensive research on understandi...
Vineet Bafna, Vikas Bansal
MST
2010
105views more  MST 2010»
13 years 5 months ago
On the Automatizability of Polynomial Calculus
Abstract We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error...
Nicola Galesi, Massimo Lauria
JSC
2010
85views more  JSC 2010»
13 years 5 months ago
On the minimum of a positive polynomial over the standard simplex
We present a new positive lower bound for the minimum value taken by a polynomial P with integer coefficients in k variables over the standard simplex of Rk , assuming that P is p...
Gabriela Jeronimo, Daniel Perrucci