On the Power of One Bit of Quantum Information

Details On the Power of One Bit of Quantum Information On the Power of One Bit of Quantum Information

1998-02-12

arxiv.org/abs/quant-ph/9802037v1

Phys.Rev.Lett.81:5672-5675,1998

Physics

Quantum Physics

5 pages

Scientific paper

10.1103/PhysRevLett.81.5672

In standard quantum computation, the initial state is pure and the answer is determined by making a measurement of some of the bits in the computational basis. What can be accomplished if the initial state is a highly mixed state and the answer is determined by measuring the expectation of $\sigma_z$ on the first bit with bounded sensitivity? This is the situation in high temperature ensemble quantum computation. We show that in this model it is possible to perform interesting physics simulations which have no known efficient classical algorithms, even though the model is less powerful then standard quantum computing in the presence of oracles.

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