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| Tomography is Necessary for Universal Entanglement Detection with Single-Copy Observables | |
| Lu, DW; Xin, T; Yu, NK; Ji, ZF; Chen, JX; Long, GL; Baugh, J; Peng, XH; Zeng, B; Laflamme, R | |
| 2016 | |
| Source | PHYSICAL REVIEW LETTERS
 |
| ISSN | 0031-9007 |
| Volume | 116Issue:23 |
| English Abstract | Entanglement, one of the central mysteries of quantum mechanics, plays an essential role in numerous tasks of quantum information science. A natural question of both theoretical and experimental importance is whether universal entanglement detection can be accomplished without full state tomography. In this Letter, we prove a no-go theorem that rules out this possibility for nonadaptive schemes that employ single-copy measurements only. We also examine a previously implemented experiment [H. Park et al., Phys. Rev. Lett. 105, 230404 (2010)], which claimed to detect entanglement of two-qubit states via adaptive single-copy measurements without full state tomography. In contrast, our simulation and experiment both support the opposite conclusion that the protocol, indeed, leads to full state tomography, which supplements our no-go theorem. These results reveal a fundamental limit of single-copy measurements in entanglement detection and provide a general framework of the detection of other interesting properties of quantum states, such as the positivity of partial transpose and the k-symmetric extendibility.; Entanglement, one of the central mysteries of quantum mechanics, plays an essential role in numerous tasks of quantum information science. A natural question of both theoretical and experimental importance is whether universal entanglement detection can be accomplished without full state tomography. In this Letter, we prove a no-go theorem that rules out this possibility for nonadaptive schemes that employ single-copy measurements only. We also examine a previously implemented experiment [H. Park et al., Phys. Rev. Lett. 105, 230404 (2010)], which claimed to detect entanglement of two-qubit states via adaptive single-copy measurements without full state tomography. In contrast, our simulation and experiment both support the opposite conclusion that the protocol, indeed, leads to full state tomography, which supplements our no-go theorem. These results reveal a fundamental limit of single-copy measurements in entanglement detection and provide a general framework of the detection of other interesting properties of quantum states, such as the positivity of partial transpose and the k-symmetric extendibility. |
| Indexed Type | SCI |
| Department | Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada. Tsinghua Univ, State Key Lab Low Dimens Quantum Phys, Beijing 100084, Peoples R China. Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China. Univ Technol Sydney, Fac Engn & Informat Technol, Ctr Quantum Computat & Intelligent Syst, Sydney, NSW 2007, Australia. Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada. Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing 100190, Peoples R China. Univ Maryland, Joint Ctr Quantum Informat & Comp Sci, College Pk, MD 20742 USA. Univ Sci & Technol China, Hefei Natl Lab Phys Sci Microscale, Hefei 230036, Anhui, Peoples R China. Univ Sci & Technol China, Dept Modern Phys, Hefei 230036, Anhui, Peoples R China. Canadian Inst Adv Res, Toronto, ON M5G 1Z8, Canada. Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada. |
| Language | 英语 |
| WOS ID | WOS:000377338100004 |
| Citation statistics | |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/17323 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation GB/T 7714 | Lu, DW,Xin, T,Yu, NK,et al. Tomography is Necessary for Universal Entanglement Detection with Single-Copy Observables[J]. PHYSICAL REVIEW LETTERS,2016,116(23). |
| APA | Lu, DW.,Xin, T.,Yu, NK.,Ji, ZF.,Chen, JX.,...&Laflamme, R.(2016).Tomography is Necessary for Universal Entanglement Detection with Single-Copy Observables.PHYSICAL REVIEW LETTERS,116(23). |
| MLA | Lu, DW,et al."Tomography is Necessary for Universal Entanglement Detection with Single-Copy Observables".PHYSICAL REVIEW LETTERS 116.23(2016). |
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