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arXiv · 1702.02360

Entropic relations for indistinguishable quantum particles

Marius Lemm
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Abstract

The von Neumann entropy of a $k$-body reduced density matrix $\gamma_k$ quantifies the entanglement between $k$ quantum particles and the remaining ones. In this short paper, we rigorously prove general properties of this entanglement entropy as a function of $k$: it is concave for all $1\leq k\leq N$ and non-decreasing until the midpoint $k\leq \lfloor N/2\rfloor$. The results hold for indistinguishable quantum particles and are independent of the statistics.

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Marius Lemm. 2017-02-08. Entropic relations for indistinguishable quantum particles. https://doi.org/10.1088/1742-5468/ad343a

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