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On Strong Converse Theorems for Quantum Hypothesis Testing and Channel Coding
- Publication Year :
- 2024
-
Abstract
- Strong converse theorems refer to the study of impossibility results in information theory. In particular, Mosonyi and Ogawa established a one-shot strong converse bound for quantum hypothesis testing [Comm. Math. Phys, 334(3), 2014], which servers as a primitive tool for establishing a variety of tight strong converse theorems in quantum information theory. In this short note, we demonstrate an alternative one-line proof for this bound via the variational expression of measured R\'enyi divergences [Lett. Math. Phys, 107(12), 2017]. Then, we show that the variational expression is a direct consequence of H\"older's inequality.<br />Comment: one-shot strong converse bound by Mosonyi and Ogawa [arXiv:1309.3228], variational expression by Berta, Fawzi, and Tomamichel [arXiv:1512.02615]
- Subjects :
- Quantum Physics
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2403.13584
- Document Type :
- Working Paper