On the complexity of simulating space-bounded quantum computations

@article{Watrous2003OnTC,
  title={On the complexity of simulating space-bounded quantum computations},
  author={John Watrous},
  journal={computational complexity},
  year={2003},
  volume={12},
  pages={48-84}
}
This paper studies the space-complexity of predicting the long-term behavior of a class of stochastic processes based on evolutions and measurements of quantum mechanical systems. These processes generalize a wide range of both quantum and classical space-bounded computations, including unbounded error computations given by machines having algebraic number transition amplitudes or probabilities. It is proved that any space s quantum stochastic process from this class can be simulated… CONTINUE READING
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