A fast quantum mechanical algorithm for database search
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Stabilization of Quantum Computations by Symmetrization
SIAM Journal on Computing
UC'05 Proceedings of the 4th international conference on Unconventional Computation
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We discuss some seemingly paradoxical yet valid effects of quantum physics in information processing. Firstly, we argue that the act of "doing nothing" on part of an entangled quantum system is a highly non-trivial operation and that it is the essential ingredient underlying the computational speedup in the known quantum algorithms. Secondly, we show that the watched pot effect of quantum measurement theory gives the following novel computational possibility: suppose that we have a quantum computer with an on/off switch, programmed ready to solve a decision problem. Then (in certain circumstances) the mere fact that the computer would have given the answer if it were run, is enough for us to learn the answer, even though the computer is in fact not run.