Accessible quantification of multiparticle entanglement

Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology and life sciences. For arbitrary multiparticle systems, entanglement quantification typically involves nontrivi...

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Main Authors: Cianciaruso, Marco, Bromley, Thomas R., Adesso, Gerardo
Format: Article
Published: Nature Publishing Group 2016
Online Access:https://eprints.nottingham.ac.uk/40784/
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author Cianciaruso, Marco
Bromley, Thomas R.
Adesso, Gerardo
author_facet Cianciaruso, Marco
Bromley, Thomas R.
Adesso, Gerardo
author_sort Cianciaruso, Marco
building Nottingham Research Data Repository
collection Online Access
description Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology and life sciences. For arbitrary multiparticle systems, entanglement quantification typically involves nontrivial optimisation problems, and it may require demanding tomographical techniques. Here, we develop an experimentally feasible approach to the evaluation of geometric measures of multiparticle entanglement. Our framework provides analytical results for particular classes of mixed states of N qubits, and computable lower bounds to global, partial, or genuine multiparticle entanglement of any general state. For global and partial entanglement, useful bounds are obtained with minimum effort, requiring local measurements in just three settings for any N. For genuine entanglement, a number of measurements scaling linearly with N are required. We demonstrate the power of our approach to estimate and quantify different types of multiparticle entanglement in a variety of N-qubit states useful for uantum information processing and recently engineered in laboratories with quantum optics and trapped ion setups.
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spelling nottingham-407842020-05-04T18:16:34Z https://eprints.nottingham.ac.uk/40784/ Accessible quantification of multiparticle entanglement Cianciaruso, Marco Bromley, Thomas R. Adesso, Gerardo Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology and life sciences. For arbitrary multiparticle systems, entanglement quantification typically involves nontrivial optimisation problems, and it may require demanding tomographical techniques. Here, we develop an experimentally feasible approach to the evaluation of geometric measures of multiparticle entanglement. Our framework provides analytical results for particular classes of mixed states of N qubits, and computable lower bounds to global, partial, or genuine multiparticle entanglement of any general state. For global and partial entanglement, useful bounds are obtained with minimum effort, requiring local measurements in just three settings for any N. For genuine entanglement, a number of measurements scaling linearly with N are required. We demonstrate the power of our approach to estimate and quantify different types of multiparticle entanglement in a variety of N-qubit states useful for uantum information processing and recently engineered in laboratories with quantum optics and trapped ion setups. Nature Publishing Group 2016-10-18 Article PeerReviewed Cianciaruso, Marco, Bromley, Thomas R. and Adesso, Gerardo (2016) Accessible quantification of multiparticle entanglement. npj Quantum Information, 2 . 16030/1-16030/11. ISSN 2056-6387 http://dx.doi.org/10.1038/npjqi.2016.30 doi:10.1038/npjqi.2016.30 doi:10.1038/npjqi.2016.30
spellingShingle Cianciaruso, Marco
Bromley, Thomas R.
Adesso, Gerardo
Accessible quantification of multiparticle entanglement
title Accessible quantification of multiparticle entanglement
title_full Accessible quantification of multiparticle entanglement
title_fullStr Accessible quantification of multiparticle entanglement
title_full_unstemmed Accessible quantification of multiparticle entanglement
title_short Accessible quantification of multiparticle entanglement
title_sort accessible quantification of multiparticle entanglement
url https://eprints.nottingham.ac.uk/40784/
https://eprints.nottingham.ac.uk/40784/
https://eprints.nottingham.ac.uk/40784/