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5 papers · 2 filters
Quantum Algorithms for some Hidden Shift Problems
Wim van Dam, Sean Hallgren, Lawrence Ip
Almost all of the most successful quantum algorithms discovered to date exploit the ability of the Fourier transform to recover subgroup structure of functions, especially periodic…
Exponential Lower Bound for 2-Query Locally Decodable Codes via a Quantum Argument
Iordanis Kerenidis, Ronald de Wolf
A locally decodable code encodes n-bit strings x in m-bit codewords C(x), in such a way that one can recover any bit x_i from a corrupted codeword by querying only a few bits of th…
Efficient Quantum Algorithms for Estimating Gauss Sums
Wim van Dam, Gadiel Seroussi
We present an efficient quantum algorithm for estimating Gauss sums over finite fields and finite rings. This is a natural problem as the description of a Gauss sum can be done wit…
Weak coin flipping with small bias
Iordanis Kerenidis, Ashwin Nayak
This note presents a quantum protocol that demonstrates that_weak_ coin flipping with bias approximately 0.239, less than 1/4, is possible. A bias of 1/4 was the smallest known, an…
How Powerful is Adiabatic Quantum Computation?
Wim van Dam, Michele Mosca, Umesh Vazirani
We analyze the computational power and limitations of the recently proposed 'quantum adiabatic evolution algorithm'.