Physics – Quantum Physics
Scientific paper
2006-06-20
New J. Phys. 9 (2007) 244
Physics
Quantum Physics
4 pages, 1 figure
Scientific paper
10.1088/1367-2630/9/8/244
We present a procedure to share a secret spatial direction in the absence of a common reference frame using a multipartite quantum state. The procedure guarantees that the parties can determine the direction if they perform joint measurements on the state, but fail to do so if they restrict themselves to local operations and classical communication (LOCC). We calculate the fidelity for joint measurements, give bounds on the fidelity achievable by LOCC, and prove that there is a non-vanishing gap between the two of them, even in the limit of infinitely many copies. The robustness of the procedure under particle loss is also studied. As a by-product we find bounds on the probability of discriminating by LOCC between the invariant subspaces of total angular momentum N/2 and N/2-1 in a system of N elementary spins.
Bagan Emili
Calsamiglia John
Demkowicz-Dobrzanski Rafal
Munoz-Tapia Ramon
No associations
LandOfFree
How to hide a secret direction 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 How to hide a secret direction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How to hide a secret direction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-40587