Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
121 tokens/sec
GPT-4o
9 tokens/sec
Gemini 2.5 Pro Pro
47 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Ruminations on Matrix Convexity and the Strong Subadditivity of Quantum Entropy (2210.10729v5)

Published 19 Oct 2022 in quant-ph, cond-mat.stat-mech, cs.IT, math-ph, math.IT, and math.MP

Abstract: The familiar second derivative test for convexity, combined with resolvent calculus, is shown to yield a useful tool for the study of convex matrix-valued functions. We demonstrate the applicability of this approach on a number of theorems in this field. These include convexity principles which play an essential role in the Lieb-Ruskai proof of the strong subadditivity of quantum entropy.

Citations (2)

Summary

We haven't generated a summary for this paper yet.