Closed timelike curves in measurement-based quantum computation

Physics – Quantum Physics

Scientific paper

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8 pages, 12 figures, longer version with more examples and updated references

Scientific paper

10.1103/PhysRevA.83.012316

Many results have been recently obtained regarding the power of hypothetical closed time-like curves (CTCs) in quantum computation. Here we show that the one-way model of measurement-based quantum computation encompasses in a natural way the CTC model proposed by Bennett, Schumacher and Svetlichny. We identify a class of CTCs in this model that can be simulated deterministically and point to a fundamental limitation of Deutsch's CTC model which leads to predictions conflicting with those of the one-way model.

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