A117393 Number of different classes of entangling power of permutation matrices of dimension d^2, acting on a d X d (tensor product) Hilbert space.

1, 2, 15, 65, 190, 447

Offset

1,2

Comments

a(1), a(2) and a(3) were obtained via an exhaustive search; Lower bounds on a(4) through a(10) are 65, 190, 447, 890, 1603, 2675, 4200. - Lieven Clarisse, Jan 29 2017

I moved a(4)-a(6) back to the data field, even though they have not been proved. If they are deleted the sequence melts away. - N. J. A. Sloane, Jan 31 2017

Links

Table of n, a(n) for n=1..6.

Lieven Clarisse, Sibasish Ghosh, Simone Severini and Anthony Sudbery, Entangling Power of Permutations, Phys. Rev. A 72, 012314 (2005).

Crossrefs

Sequence in context: A271828 A183264 A176972 * A055206 A216614 A146757

Adjacent sequences: A117390 A117391 A117392 * A117394 A117395 A117396

Keyword

nonn,bref,hard,more

Author

Lieven Clarisse and Simone Severini, Apr 25 2006

Extensions

Moved terms a(4) and above to comments since those were not obtained via an exhaustive search (but believed to be correct). - Lieven Clarisse, Jan 29 2017. I restored a(4)-a(6), see note above. - N. J. A. Sloane, Jan 31 2017

Status

approved