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Title:
Tomography is Necessary for Universal Entanglement Detection with Single-Copy Observables
Author: Lu, DW ; Xin, T ; Yu, NK ; Ji, ZF ; Chen, JX ; Long, GL ; Baugh, J ; Peng, XH ; Zeng, B ; Laflamme, R
Source: PHYSICAL REVIEW LETTERS
Issued Date: 2016
Volume: 116, Issue:23
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.
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.
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.
Language: 英语
WOS ID: WOS:000377338100004
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Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/17323
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Lu, DW,Xin, T,Yu, NK,et al. Tomography is Necessary for Universal Entanglement Detection with Single-Copy Observables[J]. PHYSICAL REVIEW LETTERS,2016-01-01,116(23).
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