Další formáty:
BibTeX
LaTeX
RIS
@article{833863, author = {Ambainis, Andris and Bouda, Jan and Winter, Andreas}, article_location = {USA}, article_number = {4}, keywords = {quantum information processing; encryption; non-malleability; unitary k-design}, language = {eng}, issn = {0022-2488}, journal = {Journal of Mathematical Physics}, title = {Nonmalleable encryption of quantum information}, volume = {50}, year = {2009} }
TY - JOUR ID - 833863 AU - Ambainis, Andris - Bouda, Jan - Winter, Andreas PY - 2009 TI - Nonmalleable encryption of quantum information JF - Journal of Mathematical Physics VL - 50 IS - 4 SP - 042106 EP - 042106 PB - American Institute of Physics SN - 00222488 KW - quantum information processing KW - encryption KW - non-malleability KW - unitary k-design N2 - 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. We show that such a scheme is equivalent to a unitary 2-design [Dankert, et al., 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 (d2-1)2+1 on the number of unitaries in a 2-design [Gross, et al., J. Math. Phys. 48, 052104 (2007)], which lends itself to a generalization to approximate 2-design. Furthermore, while in prime power dimension there is a unitary 2-design with <=d5 elements, we show that there are always approximate 2-designs with O(\epsilon-2d4 log d) elements. ER -
AMBAINIS, Andris, Jan BOUDA a Andreas WINTER. Nonmalleable encryption of quantum information. \textit{Journal of Mathematical Physics}. USA: American Institute of Physics, 2009, roč.~50, č.~4, s.~042106-42113. ISSN~0022-2488.
|