Local Unitary Quantum Cellular Automata
| dc.creator | Perez-Delgado, Carlos A. | |
| dc.creator | Cheung, Donny | |
| dc.date | 2007-08-31 | |
| dc.date.accessioned | 2026-07-07T09:20:58Z | |
| dc.date.available | 2026-07-07T09:20:58Z | |
| dc.description | 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. | |
| dc.description | To appear in Physical Review A | |
| dc.identifier | https://arxiv.org/abs/0709.0006 | |
| dc.identifier | http://arxiv.org/abs/0709.0006 | |
| dc.identifier | Phys. Rev. A 76, 032320, 2007 | |
| dc.identifier | doi:10.1103/PhysRevA.76.032320 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154864 | |
| dc.subject | Quantum Physics | |
| dc.title | Local Unitary Quantum Cellular Automata | |
| dc.type | text |