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ICTCS
2005
Springer
15 years 6 months ago
Quantum Algorithms for a Set of Group Theoretic Problems
This work introduces two decision problems, StabilizerD and Orbit CosetD, and gives quantum reductions from them to the problem Orbit Superposition (Friedl et al., 2003), as well a...
Stephen A. Fenner, Yong Zhang
COCO
2008
Springer
108views Algorithms» more  COCO 2008»
15 years 2 months ago
Exponential Separation of Quantum and Classical Non-interactive Multi-party Communication Complexity
We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing setti...
Dmitry Gavinsky, Pavel Pudlák
ENTCS
2007
108views more  ENTCS 2007»
15 years 16 days ago
Simulating and Compiling Code for the Sequential Quantum Random Access Machine
We present the SQRAM architecture for quantum computing, which is based on Knill’s QRAM model. We detail a suitable instruction set, which implements a universal set of quantum ...
Rajagopal Nagarajan, Nikolaos Papanikolaou, David ...
104
Voted
FOCS
2003
IEEE
15 years 5 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
107
Voted
CORR
2010
Springer
93views Education» more  CORR 2010»
15 years 20 days ago
Parallelized Solution to Semidefinite Programmings in Quantum Complexity Theory
In this paper we present an equilibrium value based framework for solving SDPs via the multiplicative weight update method which is different from the one in Kale's thesis [K...
Xiaodi Wu