Mixed state entanglement by efficient separation of quantum from classical correlations

• URL: http://arxiv.org/abs/2202.07420v2
• Date: Wed, 8 Jun 2022 09:50:03 GMT
• Title: Mixed state entanglement by efficient separation of quantum from classical correlations
• Authors: Christian Carisch and Oded Zilberberg
• Abstract summary: Entanglement is the key resource for quantum technologies and is at the root of exciting many-body phenomena. Here, we devise an entanglement measure for such realistic open systems by filtering the entanglement spectrum of the mixed state. We showcase our scheme for spinless particles moving on a chain in presence of dephasing.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement is the key resource for quantum technologies and is at the root of exciting many-body phenomena. Nevertheless, quantifying the entanglement in a real-world quantum system is challenging when it interacts with its environment, as the latter mixes classical correlations with entanglement. Here, we devise an entanglement measure for such realistic open systems by filtering the entanglement spectrum of the mixed state. We first establish which spectral values encode entanglement and then develop a filtering algorithm that is efficiently realizable using a tensor network representation of the system's density matrix. We showcase our scheme for spinless particles moving on a chain in presence of dephasing. Crucially, our approach distinguishes classical from quantum correlations for a broad range of systems and motivates efficient experimental entanglement quantification.

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