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

Carisch, Christian; Zilberberg, Oded

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

Dateien

Carisch_2-asc10g10fjxp1.pdf(1.28 MB)

Datum

2023

Autor:innen

Carisch, Christian

Zilberberg, Oded

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Quantum ; 7 (2023). - 954. - Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften. - eISSN 2521-327X

Zusammenfassung

Entanglement is the key resource for quantum technologies and is at the root of exciting many-body phenomena. However, quantifying the entanglement between two parts of a real-world quantum system is challenging when it interacts with its environment, as the latter mixes cross-boundary classical with quantum correlations. Here, we efficiently quantify quantum correlations in such realistic 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 configurations. The sum over these values, which we call "configuration coherence", can be used as a quantifier for cross-boundary coherence. Crucially, we prove that for purity non-increasing maps, e.g., Lindblad-type evolutions with Hermitian jump operators, the configuration coherence is an entanglement measure. Moreover, it can be efficiently computed using a tensor network representation of the state's density matrix. We showcase the configuration coherence for spinless particles moving on a chain in presence of dephasing. Our approach can quantify coherence and entanglement in a broad range of systems and motivates efficient entanglement detection.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

CARISCH, Christian, Oded ZILBERBERG, 2023. Efficient separation of quantum from classical correlations for mixed states with a fixed charge. In: Quantum. Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften. 7, 954. eISSN 2521-327X. Available under: doi: 10.22331/q-2023-03-20-954

BibTex

@article{Carisch2023Effic-66736,
  year={2023},
  doi={10.22331/q-2023-03-20-954},
  title={Efficient separation of quantum from classical correlations for mixed states with a fixed charge},
  volume={7},
  journal={Quantum},
  author={Carisch, Christian and Zilberberg, Oded},
  note={Article Number: 954}
}

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