One-sided device-independent self-testing of any pure two-qubit entangled state

Goswami, Suchetana; Bhattacharya, Bihalan; Das, Debarshi; Sasmal, Souradeep; Jebaratnam, C.; Majumdar, A. S.

doi:10.1103/physreva.98.022311

Cited by 40 publications

(31 citation statements)

References 41 publications

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“…Thus, quantum steering is usually connected with the secret key rate in one-sided device-independent quantum key distribution [14,15]. Apart from this, quantum steering shows the advantages to self-test pure entangled states [16,17] and discriminate quantum states [18].…”

Section: Introductionmentioning

confidence: 99%

Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States

Bian

Yin²

2021

Photonics

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Quantum steering, as a cornerstone of quantum information, is usually used to witness the quantum correlation of bipartite and multi-partite states. Here, we experimentally demonstrate the quantum steering inequality of two-qubit mixed states based on the fine-grained uncertainty relation. Our experimental results show that the steering inequality has potent sensitivity to Werner states and Bell diagonal states. The steering strategy exhibits a strong ability to identify that Werner states are steerable when the decoherence coefficient a>12. Compared to the steering inequality obtained by another stratagem, the steering witness criteria of mixed states based on the fine-grained uncertainty relation demonstrated in our experiment has better precision and accuracy. Moreover, the detection efficiency in our measurement setup is only required to be 50% to close the detection loophole, which means our approach needs less detector efficiency to certificate the steerability of mixed states.

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Section: Introductionmentioning

confidence: 99%

Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States

Bian

Yin²

2021

Photonics

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“…Self-testing, acting as a device-independent certification method, has attracted lots of attention since the pioneer works of Mayers and Yao [2]. It can be used to certify entangled pure states and measurements [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Up to now, a wide range of entangled quantum states are proved to be self-testable, such as the elegant results for all pure bipartite entangled states [23], three-qubit W states [24], and graph states [25].…”

Section: Introductionmentioning

confidence: 99%

Robust self-testing of multipartite GHZ-state measurements in quantum networks

Zhou¹,

Xu²,

Zhen³

et al. 2021

Preprint

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Self-testing is a device-independent examination of quantum devices based on correlations of observed statistics. Motivated by elegant progresses on selftesting strategies for measurements [Phys. Rev. Lett. 121, 250507 (2018)] and for states [New J. Phys. 20, 083041 (2018)], we develop a general self-testing procedure for multipartite generalized GHZ-state measurements. The key step is self-testing all measurement eigenstates for a general N −qubit multipartite GHZ-state measurement. Following our procedure, one only needs to perform local measurements on N − 2 chosen parties of the N -partite eigenstate and maintain to achieve the maximal violation of tilted Clauser-Horne-Shimony-Holt (CHSH) Bell inequality for remaining two parties. Moreover, this approach is physically operational from an experimental point of view. It turns out that the existing result for three-qubit GHZ-state measurement is recovered as a special case. Meanwhile, we develop the self-testing method to be robust against certain white noise.

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“…The method of inferring more detailed properties of a quantum experiment in a black-box scenario is referred to as "self-testing" [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. Mayer and Yao [30] first proposed such a deviceindependent method for certifying any type of quantum system.…”

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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One-sided device-independent self-testing of any pure two-qubit entangled state

Cited by 40 publications

References 41 publications

Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States

Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States

Robust self-testing of multipartite GHZ-state measurements in quantum networks

Experimental self-testing for photonic graph states

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