# Limitations of quantum advice and one-way communication

@article{Aaronson2004LimitationsOQ, title={Limitations of quantum advice and one-way communication}, author={Scott Aaronson}, journal={Proceedings. 19th IEEE Annual Conference on Computational Complexity, 2004.}, year={2004}, pages={320-332} }

Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accessed. This paper shows in three settings that quantum messages have only limited advantages over classical ones. First, we show that BQP/qpoly /spl sube/ PP/poly, where BQP/qpoly is the class of problems solvable in quantum polynomial time, given a polynomial-size "quantum advice state " that depends only on the input length. This…

## 134 Citations

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A new technique for removing existential quantifiers over quantum states is introduced, and it is shown that there is no way to pack an exponential number of bits into a polynomial-size quantum state, in such a way that the value of any one of those bits can later be proven with the help of a polymouthsize quantum witness.

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