Energy cost of entanglement extraction in complex quantum systems

authored by: Cédric Bény, Christopher T. Chubb, Terry Farrelly, Tobias J. Osborne
Abstract: What is the energy cost of extracting entanglement from complex quantum systems? Operationally, we may wish to actually extract entanglement. Conceptually, we may wish to physically understand the entanglement distribution as a function of energy. This is important, especially for quantum field theory vacua, which are extremely entangled. Here we build a theory to understand the energy cost of entanglement extraction. First, we consider a toy model, and then we define the entanglement temperature, relating energy cost to extracted entanglement. Next, we give a physical argument quantifying the energy cost of entanglement extraction in some quantum field vacua. There the energy cost depends on the spatial dimension: in one dimension, for example, it grows exponentially with extracted entanglement. Next, we provide approaches to bound the energy cost of extracting entanglement more generally. Finally, we look at spin chain models numerically to calculate the entanglement temperature using matrix product states.
Organisation(s): Institute of Theoretical Physics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s): Hanyang University
University of Sydney
Type: Article
Journal: Nature Communications
Volume: 9
ISSN: 2041-1723
Publication date: 17.09.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: General Chemistry, General Biochemistry,Genetics and Molecular Biology, General Physics and Astronomy
Electronic version(s): https://doi.org/10.48550/arXiv.1711.06658 (Access: Open)
https://doi.org/10.1038/s41467-018-06153-w (Access: Open)
https://doi.org/10.15488/4224 (Access: Open)

BibTeX

@article{a2645f3276db4b54bb4864a0bfa13851,
title = "Energy cost of entanglement extraction in complex quantum systems",
abstract = "What is the energy cost of extracting entanglement from complex quantum systems? Operationally, we may wish to actually extract entanglement. Conceptually, we may wish to physically understand the entanglement distribution as a function of energy. This is important, especially for quantum field theory vacua, which are extremely entangled. Here we build a theory to understand the energy cost of entanglement extraction. First, we consider a toy model, and then we define the entanglement temperature, relating energy cost to extracted entanglement. Next, we give a physical argument quantifying the energy cost of entanglement extraction in some quantum field vacua. There the energy cost depends on the spatial dimension: in one dimension, for example, it grows exponentially with extracted entanglement. Next, we provide approaches to bound the energy cost of extracting entanglement more generally. Finally, we look at spin chain models numerically to calculate the entanglement temperature using matrix product states.",
author = "C{\'e}dric B{\'e}ny and Chubb, {Christopher T.} and Terry Farrelly and Osborne, {Tobias J.}",
note = "Funding information: We would like to thank David Reeb and Robin Harper for useful discussions. The publication of this article was funded by the Open Access Fund of the Leibniz Association. T.J.O. is supported by the DFG through SFB 1227 (DQ-mat) and the RTG 1991, the ERC grants QFTCMPS and SIQS, and the cluster of excellence EXC201 Quantum Engineering and Space-Time Research. C.T.C. acknowledges support from the ARC via the Centre of Excellence in Engineered Quantum Systems (EQuS), project number CE110001013, and from the AINST Postgraduate Scholarship (John Makepeace Bennett Gift). C.B. was supported by the research fund of Hanyang University (HY-2016-2237).",
year = "2018",
month = sep,
day = "17",
doi = "10.48550/arXiv.1711.06658",
language = "English",
volume = "9",
journal = "Nature Communications",
issn = "2041-1723",
publisher = "Nature Publishing Group",
}