Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata

Details Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata

2009-06-17

arxiv.org/abs/0906.3195v2

J. Math. Phys. 51, 015203 (2010)

Physics

Quantum Physics

published version; edited some proofs (esp. for Lemma 4.9) and corrected typos

Scientific paper

10.1063/1.3278513

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.

Affiliated with

Also associated with

No associations

Rating

Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time Asymptotics and Entanglement Generation of Clifford Quantum Cellular Automata will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-223397