Can multipartite entanglement be characterized by two-point connected correlation functions?
Year: 2023
Authors: Lepori L., Trombettoni A., Giuliano D., Kombe J., Malo JY., Daley AJ., Smerzi A., Chiofalo ML.
Autors Affiliation: Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci,53-A, I-43124 Parma, Italy; INFN, Grp Collegato Parma, Parco Area Sci 7-A, I-43124 Parma, Italy; CNR, QSTAR, Largo Enr Fermi 2, I-50125 Florence, Italy; INO CNR, Largo Enr Fermi 2, I-50125 Florence, Italy; Univ Trieste, Dipartimento Fis, Str Costiera 11, I-34151 Trieste, Italy; CNR, IOM DEMOCRITOS Simulat Ctr, Via Bonomea 265, I-34136 Trieste, Italy; SISSA, Via Bonomea 265, I-34136 Trieste, Italy; Univ Calabria, Dipartimento Fis, I-87036 Cosenza, Italy; INFN, Grp Collegato Cosenza, I-87036 Cosenza, Italy; Univ Strathclyde, Dept Phys, Glasgow G4 0NG, Scotland; Univ Strathclyde, SUPA, Glasgow G4 0NG, Scotland; Dipartimento Dipartimento Ric Traslaz & Nuove Tecn, Via Savi 10, I-56126 Pisa, Italy; Univ Pisa, Dipartimento Fis Enr Fermi, Largo B Pontecorvo 3, I-56127 Pisa, Italy; INFN, Largo B Pontecorvo 3, I-56127 Pisa, Italy; Univ Firenze, European Lab Nonlinear Spect LENS, I-50019 Sesto Fiorentino, Italy.
Abstract: We discuss under which conditions multipartite entanglement in mixed quantum states can be characterized only in terms of two-point connected correlation functions, as it is the case for pure states. In turn, the latter correlations are defined via a suitable combination of (disconnected) one- and two-point correlation functions. In contrast to the case of pure states, conditions to be satisfied turn out to be rather severe. However, we were able to identify some interesting cases, as when the point-independence is valid of the one-point correlations in each possible decomposition of the density matrix, or when the operators that enter in the correlations are (semi-)positive/negative defined.
Journal/Review: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume: 56 (30) Pages from: 305302-1 to: 305302-14
More Information: The authors are pleased to thank Michele Burrello and Luca Pezze for many fruitful discussions.L L and D G acknowledge financial support by the PRIN Project Number 20177SL7HC, financed by the Italian Ministry of education and research.L L and A S also acknowledge financial support by the Qombs Project [FET Flagship on Quantum Technologies Grant No. 820419].L L also acknowledges financial support by a project funded under the National Recovery and Resilience Plan (NRRP), Mission 4 Component 2 Investment 1.3-Call for tender No. 341 of 15 March 2022 of Italian Ministry of University and Research funded by the European Union-NextGenerationEU, Award Number PE0000023, Concession Decree No. 1564 of 11 October 2022 adopted by the Italian Ministry of University and Research, CUP D93C22000940001, Project title National Quantum Science and Technology Institute’ (NQSTI). M L Chiofalo acknowledges support from the MIT-UNIPI program.Work at the University of Strathclyde was supported by the EPSRC Programme Grant DesOEQ (EP/P009565/1), and by the European Union’s Horizon 2020 research and innovation program, under Grant Agreement No. 817482 PASQuanS.KeyWords: multipartite; entanglements; characterized; connected; correlations; functionsDOI: 10.1088/1751-8121/acdd36Citations: 1data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-09-15References taken from IsiWeb of Knowledge: (subscribers only)