Testing Intergrability with a single bit of quantum information

TitleTesting Intergrability with a single bit of quantum information
Publication TypeJournal Article
Year of Publication2003
AuthorsPoulin, D, Laflamme, R, Milburn, GJ, Paz, J-P
JournalPhysical Review A
Volume68
Pagination022302
KeywordsQuantum chaos, Quantum simulation
Abstract
We show that deterministic quantum computing with a single bit (DQC1) can determine whether the classical limit of a quantum system is chaotic or integrable using $O(N)$ physical resources, where $N$ is the dimension of the Hilbert space of the system under study. This is a square root improvement over all known classical procedures. Our study relies strictly on the random matrix conjecture. We also present numerical results for the nonlinear kicked top.
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