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arXiv · quant-ph/0303042

Testing integrability with a single bit of quantum information

David Poulin·Raymond Laflamme·G. J. Milburn·Juan Pablo Paz
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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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David Poulin, Raymond Laflamme, G. J. Milburn, Juan Pablo Paz. 2003-06-30. Testing integrability with a single bit of quantum information. https://doi.org/10.1103/physreva.68.022302

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