Details
| Original language | English |
|---|---|
| Pages (from-to) | 015203 |
| Number of pages | 1 |
| Journal | J. Math. Phys. |
| Volume | 51 |
| Publication status | Published - 2010 |
Abstract
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In: J. Math. Phys., Vol. 51, 2010, p. 015203.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Time Asymptotics and Entanglement Generation of Clifford Quantum Celluar Automata
AU - Gütschow, Johannes
AU - Uphoff, Sonja
AU - Werner, Reinhard F.
AU - Zimborás, Zoltán
N1 - Funding information: rhi.s work was financially suppotlcd by the Russian Foundation lbr Basic Research ~Pro.ieci No. 97-f}3-3347%).
PY - 2010
Y1 - 2010
N2 - We consider Clifford Quantum Cellular Automata (CQCAs) and their time evolution. CQCAs are an especially simple type of Quantum Cellular Automata, yet they show complex asymptotics and can even be a basic ingredient for universal quantum computation. In this work we study the time evolution of different classes of CQCAs. We distinguish between periodic CQCAs, fractal CQCAs and CQCAs with gliders. We then identify invariant states and study convergence properties of classes of states, like quasifree and stabilizer states. Finally we consider the generation of entanglement analytically and numerically for stabilizer and quasifree states.
AB - We consider Clifford Quantum Cellular Automata (CQCAs) and their time evolution. CQCAs are an especially simple type of Quantum Cellular Automata, yet they show complex asymptotics and can even be a basic ingredient for universal quantum computation. In this work we study the time evolution of different classes of CQCAs. We distinguish between periodic CQCAs, fractal CQCAs and CQCAs with gliders. We then identify invariant states and study convergence properties of classes of states, like quasifree and stabilizer states. Finally we consider the generation of entanglement analytically and numerically for stabilizer and quasifree states.
U2 - 10.1063/1.3278513
DO - 10.1063/1.3278513
M3 - Article
VL - 51
SP - 015203
JO - J. Math. Phys.
JF - J. Math. Phys.
SN - 1089-7658
ER -