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» Quantum Query Complexity of Multilinear Identity Testing
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STACS
2009
Springer
13 years 11 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
FCT
2007
Springer
13 years 11 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 4 months ago
New Results on Quantum Property Testing
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
FSTTCS
2009
Springer
13 years 11 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...
STACS
2010
Springer
13 years 11 months ago
Weakening Assumptions for Deterministic Subexponential Time Non-Singular Matrix Completion
Kabanets and Impagliazzo [KI04] show how to decide the circuit polynomial identity testing problem (CPIT) in deterministic subexponential time, assuming hardness of some explicit ...
Maurice Jansen