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Tensor rank refers to the number of product states needed to express a given multipartite quantum state. Its non-additivity as an entanglement measure has recently been observed. In this note, we estimate the tensor rank of multiple copies…

量子物理 · 物理学 2013-09-24 Nengkun Yu , Eric Chitambar , Cheng Guo , Runyao Duan

Entanglement is one of the most studied properties of quantum mechanics for its application in quantum information protocols. Nevertheless, detecting the presence of entanglement in large multipartite sates continues to be a great challenge…

量子物理 · 物理学 2017-06-21 Flavio Baccari , Daniel Cavalcanti , Peter Wittek , Antonio Acín

Usually, the three-tangle of a tripartite pure state of qubits can be directly measured with the simultaneous preparation of a not-less-than-four-fold copy of the state. We show that the exact genuine tripartite entanglement for…

量子物理 · 物理学 2016-04-20 Chang-shui Yu , Bao-qing Guo , Si-ren Yang

The emerging quantum technologies rely on our ability to establish and control quantum systems in nonclassical states, exhibiting entanglement and quantum coherence. It is thus crucial to understand how entanglement and coherence can be…

量子物理 · 物理学 2022-06-22 Masaya Takahashi , Swapan Rana , Alexander Streltsov

We present an approach of constructing invariants under local unitary transformations for multipartite quantum systems. The invariants constructed in this way can be complement to that in [Science 340 (2013) 1205-1208]. Detailed examples…

量子物理 · 物理学 2015-06-23 Jing Wang , Ming Li , Shao-Ming Fei , Xianqing Li-Jost

A general method in constructing a complete set of wave functions for multipartite identical qubits is presented based on the irreducible representations of the permutation group and the nth rank tensors. Particular examples for n =2, 3,…

量子物理 · 物理学 2007-05-23 P. J. Lin-Chung

We prove experimentally the predicted existence of a three-qubit quantum state with genuine multipartite entanglement which can be certified solely from its separable two-qubit reduced density matrices. The qubits are encoded into different…

量子物理 · 物理学 2020-08-05 Michal Mičuda , Robert Stárek , Jan Provazník , Olga Leskovjanová , Ladislav Mišta,

A pure quantum state of N subsystems with d levels each is called k-multipartite maximally entangled state, written k-uniform, if all its reductions to k qudits are maximally mixed. These states form a natural generalization of N-qudits GHZ…

量子物理 · 物理学 2015-06-25 Dardo Goyeneche , Karol Zyczkowski

We propose a entanglement generating set for a general multipartite state based on the of concurrence. In particular, we show that concurrence for general multipartite states can be constructed by different classes of local operators which…

量子物理 · 物理学 2007-08-22 Hoshang Heydari

We study the problem of distinguishing quantum states using local operations and classical communication (LOCC). A question of fundamental interest is whether there exist sets of $k \leq d$ orthogonal maximally entangled states in…

量子物理 · 物理学 2014-08-22 Alessandro Cosentino , Vincent Russo

The quantum discord of bipartite systems is one of the best-known measures of non-classical correlations and an important quantum resource. In the recent work appeared in [Phys. Rev. Lett 2020, 124:110401], the quantum discord has been…

量子物理 · 物理学 2022-05-16 Jianming Zhou , Xiaoli Hu , Naihuan Jing

Quantum technologies are enjoying an unprecedented popularity, and some applications are already in the market. This thesis studies two phenomena that are behind a lot of quantum technologies: entanglement and nonlocality. We focus on…

量子物理 · 物理学 2022-06-24 Patricia Contreras Tejada

We adopt a resource-theoretic framework to classify different types of quantum network nonlocality in terms of operational constraints placed on the network. One type of constraint limits the parties to perform local Clifford gates on pure…

量子物理 · 物理学 2023-06-19 Amanda Gatto Lamas , Eric Chitambar

For a bipartite local quantum correlation, superlocality refers to the requirement for a larger dimension of the random variable in the classical simulation protocol than that of the quantum states that generate the correlations. In this…

量子物理 · 物理学 2018-08-02 C. Jebaratnam , Debarshi Das , Suchetana Goswami , R. Srikanth , A. S. Majumdar

We study separability properties in a 5-dimensional set of states of quantum systems composed of three subsystems of equal but arbitrary finite Hilbert space dimension d. These are the states, which can be written as linear combinations of…

量子物理 · 物理学 2009-11-06 T. Eggeling , R. F. Werner

Quantum technologies exploiting bipartite entanglement could be made more efficient by using states having the minimum amount of energy for a given entanglement degree. Here, we study how to generate these states in the case of a bipartite…

量子物理 · 物理学 2023-09-12 Nicolò Piccione , Benedetto Militello , Anna Napoli , Bruno Bellomo

Efficient generation of large-scale multipartite entangled states is a critical but challenging task in quantum information processing. Although generation of multipartite entanglement within a small set of individual qubits has been…

量子物理 · 物理学 2025-10-14 Jixuan Shi , Sheng Zhang , Yukai Wu , Yuedong Sun , Yibo Liang , Hai Wang , Yunfei Pu , Luming Duan

In this paper we present a measure of quantum correlation for a multipartite system, defined as the sum of the correlations for all possible partitions. Our measure can be defined for quantum discord (QD), geometric quantum discord (GQD),…

量子物理 · 物理学 2013-04-18 Zhi-Hao Ma , Zhi-Hua Chen , Felipe F. Fanchini

We present a necessary and sufficient product criterion for bipartite quantum states based on the rank of realignment matrix of density matrix. Then, this approach is generalized to multipartite systems. We first introduce the concept of…

量子物理 · 物理学 2018-02-27 Xianfei Qi , Ting Gao , Fengli Yan

We experimentally prepare a new type of continuous variable genuine four-partite entangled states, the quantum correlation property of which is different from that of the four-mode GHZ and cluster states, and which has not any qubit…

量子物理 · 物理学 2009-11-13 Aihong Tan , Yu Wang , Xiaoli Jin , Xiaolong Su , Xiaojun Jia , Jing Zhang , Changde Xie , Kunchi Peng
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