Physics – Quantum Physics
Scientific paper
2011-06-15
Physics
Quantum Physics
16 pages, no figures
Scientific paper
We prove violation of the strong converse property of the product state capacity for a class of quantum channels with long-term memory. In obtaining this result, we establish upper and lower bounds on the one-shot strong converse rate of an arbitrary classical-quantum channel, which in turn directly yields bounds on the one-shot strong converse rate for transmission of classical information through an arbitrary quantum channel. In contrast, it is known that the product state capacity of a memoryless quantum channel satisfies the strong converse property. This result is retrieved from our one-shot bounds in the asymptotic limit. The expression for the strong converse rate of an arbitrary sequence of classical-quantum channels, which was originally derived by Hayashi and Nagaoka, can also be obtained from our one-shot results. Our bounds on the one-shot strong converse rates are given in terms of a generalized relative entropy quantity, namely, the max-relative entropy. We prove that this quantity also characterizes the strong converse rate of asymmetric hypothesis testing in the one-shot scenario.
Brandao Fernando G. S. L.
Datta Nilanjana
Hsieh Min-Hsiu
No associations
LandOfFree
Strong converse rates and an example of violation of the strong converse property 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 Strong converse rates and an example of violation of the strong converse property, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong converse rates and an example of violation of the strong converse property will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-188828