Entanglement detection with trace polynomials

• URL: http://arxiv.org/abs/2303.07761v2
• Date: Thu, 15 Feb 2024 22:00:00 GMT
• Title: Entanglement detection with trace polynomials
• Authors: Albert Rico and Felix Huber
• Abstract summary: We provide a systematic method for nonlinear entanglement detection based on trace inequalities. In particular, this allows to employ multi-partite witnesses for the detection of bipartite states and vice versa.
• Score: 3.626013617212667
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a systematic method for nonlinear entanglement detection based on trace polynomial inequalities. In particular, this allows to employ multi-partite witnesses for the detection of bipartite states, and vice versa. We identify witnesses for which linear detection of an entangled state fails, but for which nonlinear detection succeeds. With the trace polynomial formulation a great variety of witnesses arise from immamant inequalities, which can be implemented in the laboratory through randomized measurements.

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