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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
刊名	PHYSICAL REVIEW LETTERS
	2016
卷号	116期号:23
ISSN号	0031-9007
中文摘要	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.
英文摘要	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.
收录类别	SCI
语种	英语
WOS记录号	WOS:000377338100004
公开日期	2016-12-09
内容类型	期刊论文
源URL	[http://ir.iscas.ac.cn/handle/311060/17323]
专题	软件研究所_软件所图书馆_期刊论文
推荐引用方式 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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