About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
Physical Review A. Atomic, Molecular, and Optical Physics
Paper
Quantum chaos and quantum algorithms
Abstract
The interactions between the qubits, in a quantum computer, which induced quantum chaos were analyzed. It was observed that the quantum Fourier transform (QFT) was fourth root of the unity matrix and Grover's algorithm was approximately sixth root of unity. It was found that the overlap between a random state propagated by the perturbed algorithm and the same state propagated by the corresponding unperturbed algorithm showed quasiperiodic oscillations both for Grover's algorithm and the QFT.