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Announcemen</title></head><body>
<div>Next week's MIT QIP seminar will take place on Monday, May 17 at
16:00 in 4-237, and features:</div>
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<div align="center"><font size="+2"><b>Quantum Computing, Zeroes of
Zeta Functions & Approximate Counting</b></font></div>
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<div align="center"><font size="+1"><i>by</i> Wim van Dam (<i>CMI
Postdoctoral Fellow at MIT</i>)</font></div>
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<div align="center"><u>ABSTRACT</u></div>
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<blockquote>In this talk I describe a possible connection between
quantum computing and Zeta functions of finite field equations that is
inspired by the 'spectral approach' to the Riemann conjecture.
The assumption is that the zeroes of such Zeta functions correspond to
the eigenvalues of finite dimensional unitary operators of natural
quantum mechanical systems. To model the desired quantum systems
I use the notion of universal, efficient quantum
computation.</blockquote>
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<blockquote>Using eigenvalue estimation, such quantum systems are able
to approximately count the number of solutions of the specific finite
field equations with an accuracy that does not appear to be feasible
classically. For certain equations (Fermat hypersurfaces) I show that
one can indeed model their Zeta functions with efficient quantum
algorithms, which gives some evidence in favour of the
proposal.</blockquote>
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<div>Last seminar of the term; have a cool summer!</div>
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