A quantum no-reflection theorem and the speeding up of Grover's search algorithm

Details A quantum no-reflection theorem and the speeding up of Grover's search algorithm A quantum no-reflection theorem and the speeding up of Grover's search algorithm

2011-05-20

arxiv.org/abs/1105.4032v1

Europhys. Lett. 93, 64002 (2011)

Physics

Quantum Physics

8 pages, 3 figures

Scientific paper

10.1209/0295-5075/93/64002

We prove that it is impossible to built a universal quantum machine that
produces reflections about an unknown state. We then point out a connection
between this result and the optimality of Grover's search algorithm: if such
reflection machines were available, it would be possible to accelerate Grover's
search algorithm to exponential speedups.

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