Name
Abstract | ||
|---|---|---|
In this work we aim at proving central limit theorems for open quantum walks on $${\\mathbb {Z}}^d$$Zd. We study the case when there are various classes of vertices in the network. In particular, we investigate two ways of distributing the vertex classes in the network. First, we assign the classes in a regular pattern. Secondly, we assign each vertex a random class with a transition invariant distribution. For each way of distributing vertex classes, we obtain an appropriate central limit theorem, illustrated by numerical examples. These theorems may have application in the study of complex systems in quantum biology and dissipative quantum computation. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s11128-016-1314-z | Quantum Information Processing |
Keywords | Field | DocType |
Quantum walks,Open quantum walks,Central limit theorem | Quantum biology,Quantum no-deleting theorem,Central limit theorem,Vertex (geometry),Quantum mechanics,Dissipative system,Quantum computer,Quantum walk,Quantum algorithm,Physics | Journal |
Volume | Issue | ISSN |
15 | 7 | 1570-0755 |
Citations | PageRank | References |
2 | 0.89 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Przemyslaw Sadowski | 1 | 4 | 1.99 |
| Łukasz Pawela | 2 | 18 | 5.61 |