Experimental Realization of Device-Independent Quantum Randomness Expansion

Li, Ming-Han; Zhang, Xingjian; Liu, Wen-Zhao; Zhao, Si-Ran; Bai, Bing; Liu, Yang; Zhao, Qi; Peng, Yuxiang; Zhang, Jun; Zhang, Yanbao; Munro, William J.; Ma, Xiongfeng; Zhang, Qiang; Fan, Jingyun; Pan, Jian-Wei

doi:10.48550/arxiv.1902.07529

Cited by 3 publications

(4 citation statements)

References 33 publications

(59 reference statements)

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“…The specific application motivating our study is the Probability Estimation Factor (PEF) method [1,14] for device-independent random number generation. As demonstrated recently [10,18,19] the PEF method is effective for certifying randomness in feasible experiments. In its basic form it certifies randomness secure against an adversary holding classical side information, as done in [18], and it can also be used [10,19] as a tool for constructing the necessary machinery to execute the quantum probability estimation protocol of [20] which is secure against more general quantum side information.…”

Section: Introductionmentioning

confidence: 80%

“…However, including both bounds to create a smaller polytope does result in a meaningful improvement compared to using either bound individually. Note that [1,10,14,18,19] all use the polytope with only B CHSH ≤ 2 √ 2, so the fact that the polytope using both bounds results in an improvement of almost 18% to the number of certified random bits is relevant for future implementations. Our results are summarized in Table 3.…”

Section: Applications To Device Independent Random Number Generationmentioning

confidence: 99%

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Tsirelson Polytopes and Randomness Generation

Bierhorst,

Zhang

2020

Preprint

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We classify the extreme points of a polytope of probability distributions in the (2,2,2) CHSH-Bell setting that is induced by a single Tsirelson bound. We do the same for a class of polytopes obtained from a parametrized family of multiple Tsirelson bounds interacting non-trivially. Such constructions can be applied to device-independent random number generation using the method of probability estimation factors [1]. We demonstrate a meaningful improvement in certified randomness applying the new polytopes characterized here.

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Section: Introductionmentioning

confidence: 80%

Section: Applications To Device Independent Random Number Generationmentioning

confidence: 99%

Tsirelson Polytopes and Randomness Generation

Bierhorst,

Zhang

2020

Preprint

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“…Besides offering highly secure randomness, it also allows the devices to be undependable and, hence, robust against experimental imperfections. Unfortunately, the experimental realization of a loophole-free Bell test is ex-tremely hard to accomplish, and only proof-of-principle experiments were realized, obtaining modest generation rates [6][7][8][9][10]. Taking into account the complexity of this protocol and the low bit rate, the DI QRNGs are still very far from being practical.…”

Section: Introductionmentioning

confidence: 99%

Semi-device independent randomness from d-outcome continuous-variable detection

Tebyanian,

Avesani,

Vallone

et al. 2020

Preprint

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Recently, semi-device independent protocols have attracted increasing attention, guaranteeing security with few hypotheses and experimental simplicity. In this paper, we demonstrate a manyoutcomes scheme with the binary phase-shift keying (BPSK) for a semi-device independent protocol based on the energy assumption. We show in theory that the number of certified random bits of the d-outcomes system outperforms the standard scheme (binary-outcomes). Furthermore, we compare the results of two well-known measurement schemes, homodyne and heterodyne detection. Lastly, taking into account the experimental imperfections, we discuss the experimental feasibility of the d-outcome design.

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“…The idea is that because such correlations cannot be explained using local hidden variables, the individual outcomes are random and unpredictable to an adversary [3,8,9]. Several recent advances have enabled the first experimental demonstrations of device-independence [10][11][12]. However, further theoretical and experimental advances are needed before this can become a practical technology.…”

Section: Introductionmentioning

confidence: 99%

Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair

Brown,

Colbeck

2020

Preprint

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Alice and Bob each have half of a pair of entangled qubits. Bob measures his half and then passes his qubit to a second Bob who measures again and so on. The parties work together to try to maximize the number of them that can have an expected violation of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality with the single Alice. It was conjectured in [Phys. Rev. Lett. 114, 250401 (2015)] that when the Bobs act independently and with unbiased inputs then at most two of them can expect to violate the CHSH inequality with Alice. Here we show that, contrary to the conjecture, arbitrarily many independent Bobs can have an expected CHSH violation with the single Alice. Our proof is constructive and our measurement strategies can be generalized to work with a larger class of two-qubit states that includes all pure entangled two-qubit state. Since violation of a Bell inequality is necessary for device-independent tasks, our work represents a step towards an eventual understanding of the limitations on how much device-independent randomness can be robustly generated from a single pair of qubits.

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Experimental Realization of Device-Independent Quantum Randomness Expansion

Cited by 3 publications

References 33 publications

Tsirelson Polytopes and Randomness Generation

Tsirelson Polytopes and Randomness Generation

Semi-device independent randomness from d-outcome continuous-variable detection

Arbitrarily many independent observers can share the nonlocality of a single maximally entangled qubit pair

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