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Testing integrability with a single bit of quantum information
2003
Physical Review A. Atomic, Molecular, and Optical Physics
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.
doi:10.1103/physreva.68.022302
fatcat:fhrcrrvbzba3hlocwh2ya3aohm