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The Computational Complexity of Linear Optics # Scott Aaronson +

Summary: The Computational Complexity of Linear Optics #
Scott Aaronson +
Alex Arkhipov #
We give new evidence that quantum computers---moreover,
rudimentary quantum computers built entirely out of linear­
optical elements---cannot be e#ciently simulated by classical
computers. In particular, we define a model of computa­
tion in which identical photons are generated, sent through
a linear­optical network, then nonadaptively measured to
count the number of photons in each mode. This model
is not known or believed to be universal for quantum com­
putation, and indeed, we discuss the prospects for realizing
the model using current technology. On the other hand,
we prove that the model is able to solve sampling problems
and search problems that are classically intractable under
plausible assumptions.
Our first result says that, if there exists a polynomial­time


Source: Aaronson, Scott - Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (MIT)


Collections: Physics; Computer Technologies and Information Sciences