Sharing nonlocality in a quantum network by unbounded sequential observers

Mahato, Shyam Sundar; Pan, A. K.

doi:10.1103/physreva.106.042218

Cited by 14 publications

(5 citation statements)

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“…They found that by adjusting the measurement sharpness, the former party can extract sufficient nonlocality and maintain enough entanglement, enabling sequential parties to share Bell nonlocality simultaneously [16]. Since then, unsharp measurement has been widely applied in sharing quantum correlations [17], such as standard Bell nonlocality [18][19][20][21][22][23], network nonlocality [24][25][26][27][28][29], steering [30][31][32][33][34][35][36][37][38][39], entanglement [40][41][42][43][44], coherence [45,46], and contextuality [47,48]. Moreover, it has been observed that these shared quantum correlations are closely connected to numerous quantum information tasks, including quantum random access code [49][50][51][52], randomness certification [53][54][55], self-testing [56,57] and revealing 'hidden' nonlocality [58].…”

Section: Introductionmentioning

confidence: 99%

Experimental sharing of Bell nonlocality with projective measurements

Xiao,

Xin Rong,

Wang

et al. 2024

New J. Phys.

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\textcolor{red}{In the standard Bell experiment, two parties perform local projective measurements on a shared pair of entangled qubits to generate nonlocal correlations. However, these measurements completely destroy the entanglement, rendering the post-measurement state unable for subsequent use. For a long time, it was believed that only unsharp measurements can be used to share quantum correlations. Remarkably, recent research has shown that classical randomness assisted projective measurements are sufficient for sharing nonlocality} [Phys. Rev. Lett. 129, 230402 (2022)]. Here, by stochastically combining no more than two different projective measurement strategies, we report an \textcolor{red}{experimental} observation of \textcolor{red}{double Clauser-Horne-Shimony-Holt (CHSH) inequality violations with two measurements in a sequence made on each pair of maximally and partially entangled} polarization photons. Our results reveal that the double violation achieved by partially entangled states can be 11 standard deviations larger than that achieved by maximally entangled ones. Our scheme eliminates the requirement for entanglement assistance in previous unsharp-measurement-based sharing schemes, making it experimentally easier. Our work provides possibilities for sharing other types of quantum correlations in various physical systems with projective measurements.

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Section: Introductionmentioning

confidence: 99%

Experimental sharing of Bell nonlocality with projective measurements

Xiao,

Xin Rong,

Wang

et al. 2024

New J. Phys.

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“…Furthermore, the bilateral sharing of nonlocality for two-qubit entangled states [27,28] and the trilateral nonlocality sharing for three-qubit entangled states [29] have also been studied. So far, significant progress has been made in the study of nonlocality sharing along this line of research [30][31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Sharing tripartite nonlocality sequentially using only projective measurements

Xu,

Sun,

Guo

et al. 2024

Preprint

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Bell nonlocality is a valuable resource in quantum information processing tasks. Scientists are interested in whether a single entangled state can generate a long sequence of nonlocal correlations. Previous work has accomplished sequential tripartite nonlocality sharing through unsharp measurements. In this paper, we investigate the sharing of tripartite nonlocality using only projective measurements and sharing classical randomness. For the generalized GHZ state, we have demonstrated that using unbiased measurement choices, two Charlies can share the standard tripartite nonlocality with a single Alice and a single Bob, while at most one Charlie can share the genuine tripartite nonlocality with a single Alice and a single Bob. However, with biased measurement choices, the number of Charlies sharing the genuine tripartite nonlocality can be increased to two. Nonetheless, we find that using biased measurements does not increase the number of sequential observers sharing the standard tripartite nonlocality. Moreover, we provide the feasible range of double violation for the parameters of the measurement combination probability with respect to the state.

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“…Sharing the quantum advantage in the prepare-measure communication game and self-testing of unsharpness parameter has also demonstrated [37][38][39]. Recently, the recycling of nonlocal resources in a quantum network has been briefly studied in [40][41][42]. In [40], the authors demonstrate that the nonlocality of a star network can only be shared by the first edge parties, not by secondary edge parties.…”

mentioning

confidence: 99%

“…In [40], the authors demonstrate that the nonlocality of a star network can only be shared by the first edge parties, not by secondary edge parties. In [41], one of us demonstrated the sharing of nonlocality by an unbounded number of observers in one edge of the arbitrary input star-network scenario. It is also shown [43] that sharing cannot be demonstrated by two sequential observers at both ends.…”

mentioning

confidence: 99%

“…We demonstrate the sequential sharing of network nonlocality by an unbounded number of independent observers across one edge of the star network. The scenario is different compared to [41] where a different network inequality was considered. The quantum violation of network chain inequality can be optimized for a two-qubit entangled state shared between each edge party and the central party, compared to the inequality used in [41] that requires a higher dimensional system.…”

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confidence: 99%

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Assessment of Corrosion Potential Based on Water Quality Index in the Distribution Network of Urban Patna, Bihar, India

Kumar¹,

Singh²,

Maurya³

2022

Nat. Env. Poll. Tech

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Corrosion in the distribution network pipe can lead to pipe failure and water quality problems. This study assesses the corrosion or scaling potential based on the Water Quality Index (WQI) of drinking water in the distribution networks of Patna, Bihar, India. The water samples were collected from 18 points of the distribution network. In situ parameters like temperature, pH, electrical conductivity, and TDS were measured. Other parameters such as Alkalinity, Total hardness, Calcium, Magnesium, Chloride, Residual chlorine, Sulfate, Nitrate, and Dissolved oxygen were examined in the laboratory. Corrosiveness indicators, such as the Langelier saturation index (LSI), Ryznar stability index (RSI), Puckorius scaling index (PSI), Larson-Skold index (Ls), and Aggressive index (AI) are being used for water sample corrosion prediction. Experimental Corrosion rate (CR) is analyzed to show the actual prediction of corrosion. WQI was calculated to observe the effect of water quality on Corrosiveness indices and CR. A general conclusion was reached that LSI concludes 66.67% corrosive, 22.22% scaling, and 11.11% neutral, RSI concludes 88.88% corrosive, 5.56% scaling, and 5.56% neutral, PSI indicates 38.88% corrosive, 5.56% scaling, and 55.56% neutral, Ls indicates 94.44% scaling, and 5.56% corrosive, AI indicates 77.78% corrosive, and only 22.22% scaling. The average Experimental Corrosion rate is found at 1.91 mils per year. In this study, a weak correlation (r = 0.35) between Corrosion rate and WQI has been observed. A weak correlation is also observed between corrosion rate and corrosiveness indices (r < 0.5). It is concluded that the Corrosiveness Indices fail to represent the actual behavior of water.

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Sharing nonlocality in a quantum network by unbounded sequential observers

Cited by 14 publications

References 65 publications

Experimental sharing of Bell nonlocality with projective measurements

Experimental sharing of Bell nonlocality with projective measurements

Sharing tripartite nonlocality sequentially using only projective measurements

Assessment of Corrosion Potential Based on Water Quality Index in the Distribution Network of Urban Patna, Bihar, India

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