Details
| Original language | English |
|---|---|
| Article number | 052203 |
| Journal | Journal of mathematical physics |
| Volume | 63 |
| Issue number | 5 |
| Publication status | Published - 20 May 2022 |
| Externally published | Yes |
Abstract
We provide a transparent, simple, and unified treatment of recent results on the equality conditions for the data-processing inequality of the sandwiched quantum Rényi divergence, including the statement that the equality in the data-processing implies recoverability via the Petz recovery map for the full range of the Rényi parameter α recently proven by Jenčová [J. Phys. A: Math. Theor. 50, 085303 (2017)]. We also obtain a new set of equality conditions, generalizing a previous result by Leditzky et al. [Lett. Math. Phys. 107, 61 (2017)].
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of mathematical physics, Vol. 63, No. 5, 052203, 20.05.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Revisiting the equality conditions of the data-processing inequality for the sandwiched Rényi divergence
AU - Wang, Jinzhao
AU - Wilming, Henrik
N1 - Funding Information: We would like to thank Joe Renes and David Sutter for comments and discussions. This work was supported by the Swiss National Science Foundation via the National Center for Competence in Research “QSIT” and by the Air Force Office of Scientific Research (AFOSR) via Grant No. FA9550-19-1-0202.
PY - 2022/5/20
Y1 - 2022/5/20
N2 - We provide a transparent, simple, and unified treatment of recent results on the equality conditions for the data-processing inequality of the sandwiched quantum Rényi divergence, including the statement that the equality in the data-processing implies recoverability via the Petz recovery map for the full range of the Rényi parameter α recently proven by Jenčová [J. Phys. A: Math. Theor. 50, 085303 (2017)]. We also obtain a new set of equality conditions, generalizing a previous result by Leditzky et al. [Lett. Math. Phys. 107, 61 (2017)].
AB - We provide a transparent, simple, and unified treatment of recent results on the equality conditions for the data-processing inequality of the sandwiched quantum Rényi divergence, including the statement that the equality in the data-processing implies recoverability via the Petz recovery map for the full range of the Rényi parameter α recently proven by Jenčová [J. Phys. A: Math. Theor. 50, 085303 (2017)]. We also obtain a new set of equality conditions, generalizing a previous result by Leditzky et al. [Lett. Math. Phys. 107, 61 (2017)].
UR - http://www.scopus.com/inward/record.url?scp=85130805068&partnerID=8YFLogxK
U2 - 10.1063/5.0058984
DO - 10.1063/5.0058984
M3 - Article
AN - SCOPUS:85130805068
VL - 63
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 5
M1 - 052203
ER -