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Reversible universal quantum computation within translation invariant systems

K. G. H. Vollbrecht·J. I. Cirac
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Abstract

We show how to perform reversible universal quantum computation on a translationally invariant pure state, using only global operations based on next-neighbor interactions. We do not need not to break the translational symmetry of the state at any time during the computation. Since the proposed scheme fulfills the locality condition of a quantum cellular automata, we present a reversible quantum cellular automaton capable of universal quantum computation.

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K. G. H. Vollbrecht, J. I. Cirac. 2005-02-23. Reversible universal quantum computation within translation invariant systems. https://doi.org/10.1103/physreva.73.012324

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