# Rapid solution of problems by quantum computation

@article{Deutsch1992RapidSO, title={Rapid solution of problems by quantum computation}, author={David Deutsch and Richard Jozsa}, journal={Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences}, year={1992}, volume={439}, pages={553 - 558} }

A class of problems is described which can be solved more efficiently by quantum computation than by any classical or stochastic method. The quantum computation solves the problem with certainty in exponentially less time than any classical deterministic computation.

## 2,240 Citations

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In this paper, we show that the Deutsch's universal quantum Turing machine can solve any NP-complete problem in polynomial time under a physical assumption that we can observe the existence of a…

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Discussing a concrete example, the Simons’ problem, one shows how powerful a quantum computer can be in principle, and the error rate introduced by the influence of the environment is calculated in the case of cavity QED implementation.

### The Effective Solving of the Tasks from NP by a Quantum Computer

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The new model of quantum computation is proposed, for which an effective algorithm of solving any task in NP is described, and the provided model and algorithm exhibit the exponential speedup over that described by Grover.

### Analysis of Quantum Functions (Preliminary Version)

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This work investigates quantum gap functions, which compute the gap between acceptance and rejection probabilities of quantum computation, and quantum functions, functions that are defined in terms of quantum mechanical computation.

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