Quantum Zero-Error Algorithms Cannot be Composed

Details Quantum Zero-Error Algorithms Cannot be Composed Quantum Zero-Error Algorithms Cannot be Composed

2002-11-06

arxiv.org/abs/quant-ph/0211029v2

Information Processing Letters, 87(2):79-84, 2003

Physics

Quantum Physics

7 pages LaTeX. 2nd version slightly rewritten

Scientific paper

We exhibit two black-box problems, both of which have an efficient quantum
algorithm with zero-error, yet whose composition does not have an efficient
quantum algorithm with zero-error. This shows that quantum zero-error
algorithms cannot be composed. In oracle terms, we give a relativized world
where ZQP^{ZQP}\=ZQP, while classically we always have ZPP^{ZPP}=ZPP.

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