4.6 Article

Efficient separation of quantum from classical correlations for mixed states with a fixed charge

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QUANTUM
卷 7, 期 -, 页码 -

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VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
DOI: 10.22331/q-2023-03-20-954

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This article introduces a method for measuring quantum correlations in realistic open systems and proposes a new quantifier. The authors prove the effectiveness of this method in purity non-increasing maps and demonstrate its application in the presence of dephasing in spinless particle chains.
Entanglement is the key resource for quantum technologies and is at the root of exciting many-body phenomena. How-ever, quantifying the entanglement be-tween two parts of a real-world quan-tum system is challenging when it inter-acts with its environment, as the latter mixes cross-boundary classical with quan-tum correlations. Here, we efficiently quantify quantum correlations in such re-alistic open systems using the operator space entanglement spectrum of a mixed state. If the system possesses a fixed charge, we show that a subset of the spectral values encode coherence between different cross-boundary charge configura-tions. The sum over these values, which we call configuration coherence, can be used as a quantifier for cross-boundary co-herence. Crucially, we prove that for pu-rity non-increasing maps, e.g., Lindblad -type evolutions with Hermitian jump op-erators, the configuration coherence is an entanglement measure. Moreover, it can be efficiently computed using a tensor net-work representation of the state's density matrix. We showcase the configuration co-herence for spinless particles moving on a chain in presence of dephasing. Our approach can quantify coherence and en-tanglement in a broad range of systems and motivates efficient entanglement de-tection.

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