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Volume monogamy of quantum steering ellipsoids for multiqubit systems
Cheng, Shuming1,2; Milne, Antony3; Hall, Michael J. W.1; Wiseman, Howard M.1
2016-10-06
Source PublicationPHYSICAL REVIEW A
ISSN2469-9926
Volume94Issue:4Pages:7
AbstractThe quantum steering ellipsoid can be used to visualize 2-qubit states, and thus provides a generalization of the Bloch picture for the single qubit. Recently, a monogamy relation for the volumes of steering ellipsoids has been derived for pure 3-qubit states and shown to be stronger than the celebrated Coffman-Kundu-Wootters inequality. We first demonstrate the close connection between this volume monogamy relation and the classification of pure 3-qubit states under stochastic local operations and classical communication. We then show that this monogamy relation does not hold for general mixed 3-qubit states and derive a weaker monogamy relation that does hold for such states. We also prove a volume monogamy relation for pure 4-qubit states (further conjectured to hold for the mixed case), and generalize our 3-qubit inequality to n qubits. Finally, we study the effect of noise on the quantum steering ellipsoid and find that the volume of any 2-qubit state is nonincreasing when the state is exposed to arbitrary local noise. This implies that any volume monogamy relation for a given class of multiqubit states remains valid under the addition of local noise. We investigate this quantitatively for the experimentally relevant example of isotropic noise.
DOI10.1103/PhysRevA.94.042105
Language英语
Funding ProjectARC Centre of Excellence Grant[CE110001027] ; EPSRC
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000385239700003
PublisherAMER PHYSICAL SOC
Citation statistics
Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24009
Collection中国科学院数学与系统科学研究院
Affiliation1.Griffith Univ, Ctr Quantum Dynam, Australian Res Council, Ctr Quantum Computat & Commun Technol, Brisbane, Qld 4111, Australia
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Imperial Coll London, Dept Phys, Controlled Quantum Dynam Theory, London SW7 2AZ, England
Recommended Citation
GB/T 7714
Cheng, Shuming,Milne, Antony,Hall, Michael J. W.,et al. Volume monogamy of quantum steering ellipsoids for multiqubit systems[J]. PHYSICAL REVIEW A,2016,94(4):7.
APA Cheng, Shuming,Milne, Antony,Hall, Michael J. W.,&Wiseman, Howard M..(2016).Volume monogamy of quantum steering ellipsoids for multiqubit systems.PHYSICAL REVIEW A,94(4),7.
MLA Cheng, Shuming,et al."Volume monogamy of quantum steering ellipsoids for multiqubit systems".PHYSICAL REVIEW A 94.4(2016):7.
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