Dynamics-Based Entanglement Witnesses for Non-Gaussian States of Harmonic Oscillators

• URL: http://arxiv.org/abs/2210.10357v4
• Date: Tue, 30 Jul 2024 14:20:14 GMT
• Title: Dynamics-Based Entanglement Witnesses for Non-Gaussian States of Harmonic Oscillators
• Authors: Pooja Jayachandran, Lin Htoo Zaw, Valerio Scarani,
• Abstract summary: Entanglement is inferred from the Tsirelson nonclassicality test on one of the normal modes. In each round, the protocol requires measuring only the sign of one coordinate at one among several times.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We introduce a family of entanglement witnesses for continuous variable systems, which rely on the sole assumption that their dynamics is that of coupled harmonic oscillators at the time of the test. Entanglement is inferred from the Tsirelson nonclassicality test on one of the normal modes, without any knowledge about the state of the other mode. In each round, the protocol requires measuring only the sign of one coordinate (e.g., position) at one among several times. This dynamic-based entanglement witness is more akin to a Bell inequality than to an uncertainty relation: in particular, it does not admit false positives from classical theory. Our criterion detects non-Gaussian states, some of which are missed by other criteria.

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