Name
Title | ||
|---|---|---|
A Correlation Measure Based on Vector-Valued <inline-formula> <tex-math notation="LaTeX">$L_p$ </tex-math></inline-formula>-Norms |
Abstract | ||
|---|---|---|
AbstractIn this paper, we introduce a new measure of correlation for bipartite quantum states. This measure depends on a parameter $\alpha $ , and is defined in terms of vector-valued $\textit {L}_{\textit {p}}$ -norms. The measure is within a constant of the exponential of $\alpha $ -Rényi mutual information, and reduces to the trace norm (total variation distance) for $\alpha =1$ . We will prove some decoupling type theorems in terms of this measure of correlation, and present some applications in privacy amplification as well as in bounding the random coding exponents. In particular, we establish a bound on the secrecy exponent of the wiretap channel (under the total variation metric) in terms of the $\alpha $ -Rényi mutual information according to Csiszár’s proposal. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/TIT.2019.2937099 | Periodicals |
Keywords | DocType | Volume |
Correlation measure, vector-valued L-p-norms, decoupling-type theorems, privacy amplification, entanglement generation, random binning, secrecy exponent | Journal | 65 |
Issue | ISSN | Citations |
12 | 0018-9448 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Mahdi Mojahedian | 1 | 2 | 2.08 |
| Salman Beigi | 2 | 56 | 11.43 |
| Amin Gohari | 3 | 144 | 21.81 |
| Mohammad Hossein Yassaee | 4 | 13 | 3.10 |
| Mohammad Reza Aref | 5 | 547 | 90.68 |