[QIP-Sem] MIT Quantum Information Processing Seminar Reminder
QIP-Sem Mailing List
qip-sem-own at MIT.EDU
Mon Mar 15 10:54:40 EST 2004
THIS week's MIT QIP seminar will take place TODAY, March 15 at 16:00
in 4-237, and features:
Quantum Search on Bounded-Error Inputs
by Prof. Michele Mosca (Inst. for Quantum Computing, Univ. of
Waterloo and Perimeter Inst. for Theoretical Physics)
ABSTRACT
Suppose we have n algorithms, quantum or classical, each computing
some bit-value with bounded error probability. We describe a quantum
algorithm that uses O(n) repetitions of the base algorithms and with
high probability finds the index of a 1-bit among these n bits (if
there is such an index). This shows that it is not necessary to first
significantly reduce the error probability in the base algorithms to
O(1/poly(n)) (which would require $O(n/log n)$ repetitions in
total). Our technique is a recursive interleaving of amplitude
amplification and error-reduction, and may be of more general
interest. Essentially, it shows that quantum amplitude amplification
can be made to work also with a bounded-error verifier.
(Joint work with Peter Hoyer and Ronald de Wolf)
No seminar next week due to Spring Break.
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