Experimental entanglement quantification for unknown quantum states in a semi-device-independent manner

被引：0

作者：

Guo, Yu ^{[1
,2
,3
]}

Lin, Lijinzhi ^{[5
]}

Cao, Huan ^{[1
,2
,6
]}

Zhang, Chao ^{[1
,2
]}

Lin, Xiaodie ^{[5
]}

Hu, Xiao-Min ^{[1
,2
]}

Liu, Bi-Heng ^{[1
,2
]}

Huang, Yun-Feng ^{[1
,2
]}

Wei, Zhaohui ^{[4
,5
]}

Han, Yong-Jian ^{[1
,2
]}

Li, Chuan-Feng ^{[1
,2
]}

Guo, Guang-Can ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, CAS Key Lab Quantum Informat, Hefei 230026, Peoples R China

[2] Univ Sci & Technol China, CAS Ctr Excellence Quantum Informat & Quantum Phys, Hefei 230026, Peoples R China

[3] Hefei Normal Univ, Sch Phys & Mat Engn, Hefei 230601, Peoples R China

[4] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

[5] Tsinghua Univ, Inst Interdisciplinary Informat Sci, Ctr Quantum Informat, Beijing 100084, Peoples R China

[6] Univ Vienna, Fac Phys, Vienna Ctr Quantum Sci & Technol, A-1090 Vienna, Austria

来源：

SCIENCE CHINA-INFORMATION SCIENCES | 2023年 / 66卷 / 08期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

entanglement quantification; semi-device-independent; bell nonlocality; multi-partite system; multi-level system; VIOLATION;

D O I：

10.1007/s11432-022-3681-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Using the concept of non-degenerate Bell inequality, we show that quantum entanglement, the critical resource for various quantum information processing tasks, can be quantified for any unknown quantum state in a semi-device-independent manner, where the quantification is based on the experimentally obtained probability distributions and prior knowledge of the quantum dimension only. Specifically, as an application of our approach to multi-level systems, we experimentally quantify the entanglement of formation and the entanglement of distillation for qutrit-qutrit quantum systems. In addition, to demonstrate our approach for multi-partite systems, we further quantify the geometric measure of entanglement of three-qubit quantum systems. Our results supply a general way to reliably quantify entanglement in multi-level and multi-partite systems, thus paving the way to characterize many-body quantum systems by quantifying the involved entanglement.

引用

页数：8

共 53 条

[1] Colloquium: Many-body localization, thermalization, and entanglement
Abanin, Dmitry A.
Altman, Ehud
Bloch, Immanuel
Serbyn, Maksym
[J]. REVIEWS OF MODERN PHYSICS, 2019, 91 (02)
[2] Device-independent security of quantum cryptography against collective attacks
Acin, Antonio
Brunner, Nicolas
Gisin, Nicolas
Massar, Serge
Pironio, Stefano
Scarani, Valerio
[J]. PHYSICAL REVIEW LETTERS, 2007, 98 (23)
[3] Ahrens J, 2012, NAT PHYS, V8, P592, DOI [10.1038/nphys2333, 10.1038/NPHYS2333]
[4] BELL INEQUALITIES WITH A MAGNITUDE OF VIOLATION THAT GROWS EXPONENTIALLY WITH THE NUMBER OF PARTICLES
ARDEHALI, M
[J]. PHYSICAL REVIEW A, 1992, 46 (09): : 5375 - 5378
[5] Belinskii A. V., 1993, Physics-Uspekhi, V36, P653, DOI 10.1070/PU1993v036n08ABEH002299
[6] Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824
[7] Quantum cryptography: Public key distribution and coin tossing
Bennett, Charles H.
Brassard, Gilles
[J]. THEORETICAL COMPUTER SCIENCE, 2014, 560 : 7 - 11
[8] Side-Channel-Free Quantum Key Distribution
Braunstein, Samuel L.
Pirandola, Stefano
[J]. PHYSICAL REVIEW LETTERS, 2012, 108 (13)
[9] Geometric quantum mechanics
Brody, DC
Hughston, LP
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2001, 38 (01) : 19 - 53
[10] PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES
CLAUSER, JF
HORNE, MA
SHIMONY, A
HOLT, RA
[J]. PHYSICAL REVIEW LETTERS, 1969, 23 (15) : 880 - &

← 1 2 3 4 5 6 →