A universal scheme for robust self-testing in the prepare-and-measure scenario

Miklin, Nikolai; Oszmaniec, Michał

doi:10.48550/arxiv.2003.01032

Cited by 4 publications

(6 citation statements)

References 38 publications

(60 reference statements)

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“…It is worth highlighting that self-testing in the superdense coding is likewise the one in a Bell scenario and differs from usual self-testing results in PAM scenario [28,29]. Typically, the PAM scenario without shared entanglement can self-test a set of prepared states.…”

Section: Results 4 For N = Dmentioning

confidence: 93%

“…In the scenario where no shared quantum correlations are allowed, the prepare and measure scenario has been employed in a variety of quantum information tasks [26][27][28][29][30][31][32]. Thus, an interesting question is whether the fully quantum version of the PAM scenario we consider here can also lead to relevant practical applica-tions.…”

Section: Discussionmentioning

confidence: 99%

“…More recently, device-independent scenarios allowing for communication have started to attract growing attention. Of particular relevance is the so-called prepare and measure (PAM) scenario, a fairly general structure that, apart from its foundational relevance [23][24][25], has found applications in quantum networks [26,27], selftesting [28,29], quantum key distribution [30], randomness certification [31], random access codes [32] and as non-classicality witnesses [33][34][35][36][37][38]. Apart from exploratory attempts in [39], in all these works the communicating parties share classical correlations; the nonclassicality can only arise due to the communicating (non-entangled) quantum states.…”

Section: Introductionmentioning

confidence: 99%

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Semi-device-independent certification of entanglement in superdense coding

Moreno,

Nery,

de Gois

et al. 2021

Preprint

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Superdense coding is a paradigmatic protocol in quantum information science, employing a quantum communication channel to send classical information more efficiently. As we show here, it can be understood as a particular case of a prepare and measure experiment, a scenario that has attracted growing attention for its fundamental and practical applications. Formulating superdense coding as a prepare and measure scenario allows us to provide a semi-device-independent witness of entanglement that significantly improves over previous tests. Furthermore, we also show how to adapt our results into self-testing of maximally entangled states and also provide a semidefinite program formulation allowing to efficiently optimize, for any shared quantum state, the probability of success in the superdense coding protocol.

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Section: Results 4 For N = Dmentioning

confidence: 93%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Semi-device-independent certification of entanglement in superdense coding

Moreno,

Nery,

de Gois

et al. 2021

Preprint

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“…Beyond those based on nonlocality, Tavakoli et al presented a self-testing method for quantum prepare-and-measure experiment in 2018 [26]. After that, various self-testing schemes for different quantum states have been proposed under such framework [13,[27][28][29][30][31][32][33]. These schemes consider quantum systems in fixed dimensions and belong to SDI framework, which opens interesting possibilities for quantum information processing.…”

Section: Introductionmentioning

confidence: 99%

Certification of three black boxes with unsharp measurements using $3 \rightarrow 1 $ sequential quantum random access codes

Wei,

Guo,

Gao

et al. 2021

Preprint

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Unsharp measurements play an increasingly important role in quantum information theory. In this paper, we study a three-party prepare-transform-measure experiment with unsharp measurements based on 3 → 1 sequential random access codes (RACs). We derive optimal trade-off between the two correlation witnesses in 3 → 1 sequential quantum random access codes (QRACs), and use the result to complete the self-testing of quantum preparations, instruments and measurements for three sequential parties. We also give the upper and lower bounds of the sharpness parameter to complete the robustness analysis of the self-testing scheme. In addition, we find that classical correlation witness violation based on 3 → 1 sequential RACs cannot be obtained by both correlation witnesses simultaneously. This means that if the second party uses strong unsharp measurements to overcome the classical upper bound, the third party cannot do so even with sharp measurements. Finally, we give the analysis and comparison of the random number generation efficiency under different sharpness parameters based on the determinant value, 2 → 1 and 3 → 1 QRACs separately. This letter sheds new light on generating random numbers among multi-party in semi-device independent framework.

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“…Hence, it is notable that even in a semidevice independent approach -relying alone on observational data and mild assumptions about the state preparation -such scenario is already enough to distinguish between quantum and classical behaviors. Apart from its foundational relevance, certifying that the systems employed are indeed quantum and behave as expected is an essential task in applications of the PAM scenario, ranging from communication in quantum networks [7,8] and self-testing [9,10] to quantum key distribution [11], randomness certification [12] and random access codes [13], also figuring at the core of informational principles for quantum theory [14,15] and the modelling of paradigmatic gedanken experiments such as the so-called delayed choice experiment [16].…”

Section: Introductionmentioning

confidence: 99%

General Method for Classicality Certification in the Prepare and Measure Scenario

de Gois,

Moreno,

Nery

et al. 2021

Preprint

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Preparation and measurement of physical systems are the operational building blocks of any physical experiment, and to describe them is the first purpose of any physical theory. It is remarkable that, in some situations, even when only preparation and measurement devices of a single system are present and they are uncharacterized, it is possible to distinguish between the behaviours of quantum and classical systems relying only on observational data. Certifying the physical origin of measurement statistics in the prepare and measure scenario is of primal importance for developing quantum networks, distributing quantum keys and certifying randomness, to mention a few applications, but, surprisingly, no general methods to do so are known. We progress on this problem by crafting a general, sufficient condition to certify that a given set of preparations can only generate classical statistics, for any number of generalized measurements. As an application, we employ the method to demonstrate non-classicality activation in the prepare and measure scenario, also considering its application in random access codes. Following that, we adapt our method to certify, again through a sufficient condition, whether a given set of measurements can never give rise to non-classical behaviors, irrespective of what preparations they may act upon. This, in turn, allows us to find a large set of incompatible measurements that cannot be used to demonstrate non-classicality, thus showing incompatibility is not sufficient for non-classicality in the prepare and measure scenario.

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A universal scheme for robust self-testing in the prepare-and-measure scenario

Cited by 4 publications

References 38 publications

Semi-device-independent certification of entanglement in superdense coding

Semi-device-independent certification of entanglement in superdense coding

Certification of three black boxes with unsharp measurements using $3 \rightarrow 1 $ sequential quantum random access codes

General Method for Classicality Certification in the Prepare and Measure Scenario

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