Quantum Randomness and Nondeterminism

Details Quantum Randomness and Nondeterminism Quantum Randomness and Nondeterminism

1996-10-09

arxiv.org/abs/quant-ph/9610012v1

Physics

Quantum Physics

8 pages

Scientific paper

Does the notion of a quantum randomized or nondeterministic algorithm make sense, and if so, does quantum randomness or nondeterminism add power? Although reasonable quantum random sources do not add computational power, the discussion of quantum randomness naturally leads to several definitions of the complexity of quantum states. Unlike classical string complexity, both deterministic and nondeterministic quantum state complexities are interesting. A notion of \emph{total quantum nondeterminism} is introduced for decision problems. This notion may be a proper extension of classical nondeterminism.

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