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arXiv · 1811.00544

Golden-Thompson via pinching inequality

Saket Choudhary
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Abstract

For two hermitian matrices $A$ and $B$, Golden-Thompson inequality \cite{golden1965lower, thompson1965inequality} states that $$ \mathrm{tr}\left[ \exp{(A+B)} \right] \leq \mathrm{tr}\left[ \exp{(A)}\exp{(B)} \right]. $$ We elaborate here the proof from Sutter et al. (2017).

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Saket Choudhary. 2018-11-01. Golden-Thompson via pinching inequality. https://arxiv.org/abs/1811.00544

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