Entanglement characterization using quantum designs

被引：25
|
作者：
Ketterer, Andreas [1 ,2 ,4 ]
Wyderka, Nikolai [3 ,4 ]
Guehne, Otfried [4 ]
机构：
[1] Albert Ludwigs Univ Freiburg, Phys Inst, Hermann Herder Str 3, D-79104 Freiburg, Germany
[2] EUCOR Ctr Quantum Sci & Quantum Comp, Hermann Herder Str 3, D-79104 Freiburg, Germany
[3] Heinrich Heine Univ Dusseldorf, Inst Theoret Phys 3, Univ Str 1, D-40225 Dusseldorf, Germany
[4] Univ Siegen, Nat Wissensch Tech Fak, Walter Flex Str 3, D-57068 Siegen, Germany
来源：
QUANTUM | 2020年 / 4卷
基金：
欧洲研究理事会;
关键词：
STATES;
D O I：
10.22331/q-2020-09-16-325
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present in detail a statistical approach for the reference-frame-independent detection and characterization of multipartite entanglement based on moments of randomly measured correlation functions. We start by discussing how the corresponding moments can be evaluated with designs, linking methods from group and entanglement theory. Then, we illustrate the strengths of the presented framework with a focus on the multipartite scenario. We discuss a condition for characterizing genuine multipartite entanglement for three qubits, and we prove criteria that allow for a discrimination of W-type entanglement for an arbitrary number of qubits.
引用
收藏
页数：23
相关论文
共 50 条
  • [21] Description of quantum entanglement with nilpotent polynomials: Extensive characterization of entanglement and canonical forms
    Mandilara, Aikaterini
    Akulin, Vladimir M.
    Smilga, Andrei V.
    Viola, Lorenza
    QUANTUM INFORMATICS 2005, 2006, 6264
  • [22] Linking entanglement detection and state tomography via quantum 2-designs
    Bae, Joonwoo
    Hiesmayr, Beatrix C.
    McNulty, Daniel
    NEW JOURNAL OF PHYSICS, 2019, 21 (01):
  • [23] ON THE DYNAMICS OF ENTANGLEMENT AND CHARACTERIZATION OF ENTANGLING PROPERTIES OF QUANTUM EVOLUTIONS
    Michalski, Milosz
    QUANTUM BIO-INFORMATICS II: FROM QUANTUM INFORMATION TO BIO-INFORMATICS, 2009, 24 : 151 - 159
  • [24] A multi-copy approach to quantum entanglement characterization
    Hosak, Radim
    Starek, Robert
    Filip, Radim
    Jezek, Miroslav
    2019 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE & EUROPEAN QUANTUM ELECTRONICS CONFERENCE (CLEO/EUROPE-EQEC), 2019,
  • [25] Quantum Imaging and Spatial Entanglement Characterization with an EMCCD Camera
    Reichert, Matthew
    Defienne, Hugo
    Sun, Xiaohang
    Fleischer, Jason W.
    ULTRAFAST BANDGAP PHOTONICS II, 2017, 10193
  • [26] Characterization of quantum entanglement via a hypercube of Segre embeddings
    Cirici, J.
    Salvado, J.
    Taron, J.
    QUANTUM INFORMATION PROCESSING, 2021, 20 (07)
  • [27] Characterization of quantum entanglement via a hypercube of Segre embeddings
    J. Cirici
    J. Salvadó
    J. Taron
    Quantum Information Processing, 2021, 20
  • [28] Analysis of Quantum Entanglement in Quantum Programs using Stabilizer Formalism
    Honda, Kentaro
    ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE, 2015, (195): : 262 - 272
  • [29] Implementation and measurement of quantum entanglement using IBM quantum platforms
    Karimi, Naser
    Navid Elyasi, Seyed
    Yahyavi, Marziyeh
    PHYSICA SCRIPTA, 2024, 99 (04)
  • [30] Quantum Entanglement Distillation Using an Optical Metamaterial
    Bechu, M.
    Asano, M.
    Tame, M.
    Ozdemir, S. K.
    Ikuta, R.
    Yamamoto, T.
    Guney, D. O.
    Yang, L.
    Wegener, M.
    Imoto, N.
    2015 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2015,
12345