Limits and restrictions of private quantum channel

Details Limits and restrictions of private quantum channel Limits and restrictions of private quantum channel

2005-06-14

arxiv.org/abs/quant-ph/0506107v1

Physics

Quantum Physics

23 pages, submitted to QI&C

Scientific paper

We study private quantum channels on a single qubit, which encrypt given set of plaintext states $P$. Specifically, we determine all achievable states $\rho^{(0)}$ (average output of encryption) and for each particular set $P$ we determine the entropy of the key necessary and sufficient to encrypt this set. It turns out that single bit of key is sufficient when the set $P$ is two dimensional. However, the necessary and sufficient entropy of the key in case of three dimensional $P$ varies continuously between 1 and 2 bits depending on the state $\rho^{(0)}$. Finally, we derive private quantum channels achieving these bounds. We show that the impossibility of universal NOT operation on qubit can be derived from the fact that one bit of key is not sufficient to encrypt qubit.

Affiliated with

Also associated with

No associations

Rating

Limits and restrictions of private quantum channel does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Limits and restrictions of private quantum channel, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limits and restrictions of private quantum channel will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225472