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

Author

Lieven Clarisse and Simone Severini, Apr 25 2006

Keywords

• nonn
• bref
• hard
• more

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

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

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