Local Unitary Quantum Cellular Automata

Details Local Unitary Quantum Cellular Automata Local Unitary Quantum Cellular Automata

2007-08-31

arxiv.org/abs/0709.0006v1

Phys. Rev. A 76, 032320, 2007

Physics

Quantum Physics

To appear in Physical Review A

Scientific paper

10.1103/PhysRevA.76.032320

In this paper we present a quantization of Cellular Automata. Our formalism is based on a lattice of qudits, and an update rule consisting of local unitary operators that commute with their own lattice translations. One purpose of this model is to act as a theoretical model of quantum computation, similar to the quantum circuit model. It is also shown to be an appropriate abstraction for space-homogeneous quantum phenomena, such as quantum lattice gases, spin chains and others. Some results that show the benefits of basing the model on local unitary operators are shown: universality, strong connections to the circuit model, simple implementation on quantum hardware, and a wealth of applications.

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