KMS Of Academy of mathematics and systems sciences, CAS
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 | |
发表期刊 | PHYSICAL REVIEW A |
ISSN | 2469-9926 |
卷号 | 94期号:4页码:7 |
摘要 | The 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. |
DOI | 10.1103/PhysRevA.94.042105 |
语种 | 英语 |
资助项目 | ARC Centre of Excellence Grant[CE110001027] ; EPSRC |
WOS研究方向 | Optics ; Physics |
WOS类目 | Optics ; Physics, Atomic, Molecular & Chemical |
WOS记录号 | WOS:000385239700003 |
出版者 | AMER PHYSICAL SOC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/24009 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Cheng, Shuming |
作者单位 | 1.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 |
推荐引用方式 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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