Entropic relations for indistinguishable quantum particles
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2017
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| _version_ | 1866913611890294784 |
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| author | Lemm, Marius |
| author_facet | Lemm, Marius |
| contents | The von Neumann entropy of a $k$-body reduced density matrix $γ_k$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1702_02360 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Entropic relations for indistinguishable quantum particles Lemm, Marius Quantum Physics Mathematical Physics The von Neumann entropy of a $k$-body reduced density matrix $γ_k$ 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. |
| title | Entropic relations for indistinguishable quantum particles |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/1702.02360 |