Mathematics Topics

Mathematics

Studies from University of Latvia describe new findings in mathematical physics

2009 JUL 7 - (VerticalNews.com) -- "We introduce the notion of nonmalleability of a quantum state encryption scheme (in dimension d): in addition to the requirement that an adversary cannot learn information about the state, here we demand that no controlled modification of the encrypted state can be effected," scientists in Riga, Latvia report.

"We show that such a scheme is equivalent to a unitary 2-design [Dankert, e-print arXiv:quant-ph/0606161], as opposed to normal encryption which is a unitary 1-design. Our other main results include a new proof of the lower bound of (d(2)-1)(2)+1 on the number of unitaries in a 2-design [Gross, J. Math. Phys. 48, 052104 (2007)], which lends itself to a generalization to approximate 2-design," wrote A. Ambainis and colleagues, University of Latvia.

The researchers concluded: "Furthermore, while in prime power dimension there is a unitary 2-design with <= d(5) elements, we show that there are always approximate 2-designs with O(epsilon(-2)d(4) log d) elements.."

Ambainis and colleagues published their study in the Journal of Mathematical Physics (Nonmalleable encryption of quantum information. Journal of Mathematical Physics, 2009;50(4):42106).

For more information, contact A. Ambainis, University of Latvia, Dept. of Computational Science, Raina Bulv 19, LV-1586 Riga, Latvia.

Publisher contact information for the Journal of Mathematical Physics is: American Institute Physics, Circulation & Fulfillment Division, 2 Huntington Quadrangle, Ste. 1 N O 1, Melville, NY 11747-4501, USA.

Keywords: Data Management, Encryption, Information Encryption, Information Technology, Physics, Quantum Information, Quantum Physics, Mathematical Physics, University of Latvia.