Preprint
Experimental entanglement entropy without twin copy
arXiv.org
Cornell University
04/15/2024
DOI: 10.48550/arxiv.2404.09935
Abstract
We show that it is possible to estimate experimentally the von Neuman
entanglement entropy $S_{A}^{vN}$ of a symmetric bi-partite quantum system $AB$
by using the basic measurement counts for a *single* copy of a prepared state.
We use the entropy $S_{AB}^X$ associated with the experimental measurements for
this state and the reduced entropy $S_A^X$ obtained by tracing the experimental
probabilities over the $B$ half of the system. We conjecture that
$S_{A}^{vN}\propto (2S_A^X-S_{AB}^X)$ and demonstrate that it is verified in
good approximation using exact diagonalization and analog calculations
performed with the publicly available QuEra facilities for chains and ladders
of Rydberg atoms. The approximate proportionality constant is of order one for
the examples considered. $2S_A^X-S_{AB}^X$ can be calculated easily for many
other qubit platforms and appears to be generically robust under measurement
errors, although a general proof remains to be found. Similar results are found
for the second order R\'enyi entanglement entropy.
Details
- Title: Subtitle
- Experimental entanglement entropy without twin copy
- Creators
- Yannick Meurice
- Resource Type
- Preprint
- Publication Details
- arXiv.org
- DOI
- 10.48550/arxiv.2404.09935
- eISSN
- 2331-8422
- Publisher
- Cornell University; Ithaca, New York
- Language
- English
- Date posted
- 04/15/2024
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984616954302771
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