Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 39, Issue 36, Pages 11205-11216Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/39/36/006
Keywords
-
Categories
Ask authors/readers for more resources
We rationalize the somewhat surprising efficacy of the Hadamard transform in simplifying the eigenstates of the quantum baker's map, a paradigmatic model of quantum chaos. This allows us to construct closely related, but new, transforms that do significantly better, thus nearly solving many states of the quantum baker's map. These transforms, which combine the standard Fourier and Hadamard transforms in an interesting manner, are constructed from eigenvectors of the shift permutation operator that are also simultaneous eigenvectors of bit-flip (parity) and possess bit-reversal (time-reversal) symmetry.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available