A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity-Reference-Cited by-同舟云学术

A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity

Published:2008-02 Issue:2 Volume:83 Page:107-126
ISSN:0377-9017
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Carlen Eric A.,Lieb Elliott H.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s11005-008-0223-1.pdf

Reference27 articles.

1. Ando T. (1979). Convexity of certain maps on positive definite matrices and applications to Hadamard products. Lin. Alg. Appl. 26: 203–241

2. Ando T. and Hiai F. (1998). Hölder type inequalities for matrices. Math. Inequ. Appl. 1(1): 130

3. Araki H. (1976). Relative entropy for states of von Neumann algebras. Publ. RIMS Kyoto Univ. 11: 809–833

4. Bekjan T. (2004). On joint convexity of trace functions. Lin. Alg. Appl. 390: 321–327

5. Carlen, E.A., Lieb, E.H.: A Minkowski type trace inequality and strong subadditivity of quantum entropy. Advances in the Mathematical Sciences, AMS Transl. vol. 189 Series 2, (1999) 59-68. arXiv:math/0701352

Cited by 63 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Geometric relative entropies and barycentric Rényi divergences;Linear Algebra and its Applications;2024-10

2. Geometric properties for a class of deformed trace functions;Annals of Functional Analysis;2024-05-08

3. On α-z-Rényi divergence in the von Neumann algebra setting;Journal of Mathematical Physics;2024-04-01

4. Average-Case Speedup for Product Formulas;Communications in Mathematical Physics;2024-02

5. On jointly concavity of some trace functions;Linear Algebra and its Applications;2023-05