Experimental demonstration of robust self-testing for bipartite entangled states

Zhang, Wen-Hao; Chen, Geng; Yin, Peng; Peng, Xi; Hu, Xiaomin; Hou, Zhibo; Zhou, Zhi-Yuan; Yu, Shang; Ye, Xiang-Jun; Zhou, Zihao; Xu, Xiao‐Ye; Tang, Jian‐Shun; Xu, Jin‐Shi; Han, Yong‐Jian; Liu, Bi-Heng; Li, Chuan‐Feng; Guo, Guang‐Can

doi:10.1038/s41534-018-0120-0

Cited by 26 publications

(10 citation statements)

References 42 publications

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“…Self-testing consists in inferring, solely from the statistics of a Bell experiment, which quantum states and measurements are being used and performed, respectively [68][69][70]. Much of the existing work has been centered around the bipartite case [71,72], partly motivated by its more accessible physical implmentations [73,74], but also motivated by its more accessible theoretical analysis, exploiting in most cases properties of the maximally entangled state of two qudits [75][76][77]. In the multipartite case, the analysis becomes more complicated, although some ideas for the bipartite inspired some extensions [36].…”

Section: Lemmamentioning

confidence: 99%

The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing

Aloy,

Fadel,

Tura

2020

Preprint

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In this paper, we present a method to solve the quantum marginal problem for symmetric d-level systems. The method is built upon an efficient semi-definite program that determines the compatibility conditions of an m-body reduced density with a global n-body density matrix supported on the symmetric space. We illustrate the applicability of the method in central quantum information problems with several exemplary case studies. Namely, (i) a fast variational ansatz to optimize local Hamiltonians over symmetric states, (ii) a method to optimize symmetric, few-body Bell operators over symmetric states and (iii) a set of sufficient conditions to determine which symmetric states cannot be self-tested from few-body observables. As a by-product of our findings, we also provide a generic, analytical correspondence between arbitrary superpositions of n-qubit Dicke states and translationally-invariant diagonal matrix product states of bond dimension n.

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Section: Lemmamentioning

confidence: 99%

The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing

Aloy,

Fadel,

Tura

2020

Preprint

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“…However, due to the imperfect experimental systems, one cannot achieve the ideal self-testing results, i.e., the most self-testing methods are still only theoretical recipe. To realize the self-testing task in laboratory, many robust self-testing protocols have been developed to tolerate certain noise, in particular, some of them have also been successfully demonstrated in optical experiment [39,[43][44][45][46][47]. However, the experimental realization of self-testing for multipartite entanglement states has not been demonstrated yet.…”

Section: Introductionmentioning

confidence: 99%

Experimental self-testing for photonic graph states

Xu,

Zhou,

Yang

et al. 2021

Preprint

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Graph states-one of the most representative families of multipartite entangled states, are important resources for multiparty quantum communication, quantum error correction, and quantum computation. Device-independent certification of highly entangled graph states plays a prominent role in the quantum information processing tasks. Here we have experimentally demonstrated device-independent certification for multipartite graph states, by adopting the robust self-testing scheme based on scalable Bell inequalities. Specifically, the prepared multi-qubit Greenberger-Horne-Zeilinger (GHZ) states and linear cluster states achieve a high degree of Bell violation, which are beyond the nontrivial bounds of the robust self-testing scheme. Furthermore, our work paves the way to the device-independent certification of complex multipartite quantum states.

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“…To date, DIC has been intensively investigated for a few simple types of multipartite entangled states [32][33][34][35], and several specific genuinely entangled states [36][37][38][39] have been investigated. Similarly, self-testing, an approach allowing one to identify the quantum state device-independently was only pursued for a few states [40][41][42][43][44][45]. Recently, a dissociated DIC (DDIC) method to detect GME for pure states was proposed whereby the detection of GME is reduced into a set of bipartite problems, for each of which a bipartite Bell inequality is tested [46].…”

Section: Introductionmentioning

confidence: 99%

Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses

Zhang¹,

Zhang²,

Sekatski³

et al. 2021

Preprint

Self Cite

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Genuine multipartite entanglement represents the strongest type of entanglement, which is an essential resource for quantum information processing. Standard methods to detect genuine multipartite entanglement, e.g., entanglement witnesses, state tomography, or quantum state verification, require full knowledge of the Hilbert space dimension and precise calibration of measurement devices, which are usually difficult to acquire in an experiment. The most radical way to overcome these problems is to detect entanglement solely based on the Bell-like correlations of measurement outcomes collected in the experiment, namely, device-independently (DI). However, it is difficult to certify genuine entanglement of practical multipartite states in this way, and even more difficult to quantify it, due to the difficulty to identify optimal multipartite Bell inequalities and protocols tolerant to state impurity. In this work, we explore a general and robust DI method which can be applied to various realistic multipartite quantum state in arbitrary finite dimension, while merely relying on bipartite Bell inequalities. Our method allows us both to certify the presence of genuine multipartite entanglement and to quantify it. Several important classes of entangled states are tested with this method, leading to the detection of genuinely entangled states. We also certify genuine multipartite entanglement in weakly-entangled GHZ states, thus showing that the method applies equally well to less standard states.

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Experimental demonstration of robust self-testing for bipartite entangled states

Cited by 26 publications

References 42 publications

The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing

The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing

Experimental self-testing for photonic graph states

Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses

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