Entropy Accumulation With Improved Second-Order Term

Dupuis, Frédéric; Fawzi, Omar

doi:10.1109/tit.2019.2929564

Cited by 66 publications

(114 citation statements)

References 41 publications

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“…5). The rates of Protocol ARV are also evaluated using the improved EAT statement [23]. For Protocol ARV, we use the one-sided von Neumann entropy bound, so the maximum rate is one bit per round, but because we can directly get the single-round von Neumann entropy, the rate initially falls more slowly with decreasing detection efficiency than for the other protocols.…”

Section: Rates In the Presence Of Inefficient Detectorsmentioning

confidence: 99%

“…In particular, this demonstrated the original EAT statement's suboptimal dependence on the testing probability. In light of this, the authors of [23] improved the second order term of the EAT in order to account for this suboptimal dependence. In the sections that follow, we will look at how the modified protocol structure interacts with the improved EAT statement.…”

Section: B3 Input Randomness For Protocol Qrementioning

confidence: 99%

“…Proof. This follows from replicating the original proof [23] with the block channels decomposed into the testing and generation channels,…”

Section: C1 Constructionmentioning

confidence: 99%

See 2 more Smart Citations

A Framework for Quantum-Secure Device-Independent Randomness Expansion

Brown

Ragy

Colbeck

2020

IEEE Trans. Inform. Theory

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A device-independent randomness expansion protocol aims to take an initial random seed and generate a longer one without relying on details of how the devices operate for security. A large amount of work to date has focussed on a particular protocol based on spot-checking devices using the CHSH inequality.Here we show how to derive randomness expansion rates for a wide range of protocols, with security against a quantum adversary. Our technique uses semidefinite programming and a recent improvement of the entropy accumulation theorem. To support the work and facilitate its use, we provide code that can generate lower bounds on the amount of randomness that can be output based on the measured quantities in the protocol. As an application, we give a protocol that robustly generates up to two bits of randomness per entangled qubit pair, which is twice that established in existing analyses of the spot-checking CHSH protocol in the low noise regime.

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Section: Rates In the Presence Of Inefficient Detectorsmentioning

confidence: 99%

Section: B3 Input Randomness For Protocol Qrementioning

confidence: 99%

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A Framework for Quantum-Secure Device-Independent Randomness Expansion

Brown

Ragy

Colbeck

2020

IEEE Trans. Inform. Theory

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“…The security of DIQKD has been rigorously established in different works, first against collective attacks [15] in the asymptotic regime, then against coherent attacks [17] also in the asymptotic regime, and only recently in the practical scenario of finite data block sizes [28] (see also [29]). The security proof in [28] relies on the socalled entropy accumulation theorem [30,31], which effectively allows to prove the security of the full protocol from the security of a single round of the protocol by using a worst-case scenario.…”

Section: Introductionmentioning

confidence: 99%

Long-distance device-independent quantum key distribution

Zapatero

Curty

2019

Sci Rep

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Besides being a beautiful idea, device-independent quantum key distribution (DIQKD) is probably the ultimate solution to defeat quantum hacking. Its security is based on a loophole-free violation of a Bell inequality, which results in a very limited maximum achievable distance. To overcome this limitation, DIQKD must be furnished with heralding devices like, for instance, qubit amplifiers, which can signal the arrival of a photon before the measurement settings are actually selected. In this way, one can decouple channel loss from the selection of the measurement settings and, consequently, it is possible to safely post-select the heralded events and discard the rest, which results in a significant enhancement of the achievable distance. In this work, we investigate photonic-based DIQKD assisted by two main types of qubit amplifiers in the finite data block size scenario, and study the resources—particularly, the detection efficiency of the photodetectors and the quality of the entanglement sources—that would be necessary to achieve long-distance DIQKD within a reasonable time frame of signal transmission.

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“…A more detailed explanation can be found in [39,Appendix B]. Improvements on the second order term of the entropy accumulation theorem, that do not rely on the introduction of blocks, were recently obtained in [62]. Following the techniques of [1,39], we derive Theorem 1.…”

mentioning

confidence: 99%

Towards a realization of device-independent quantum key distribution

Murta

Dam

Ribeiro

et al. 2019

Quantum Sci. Technol.

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In the implementation of device-independent quantum key distribution we are interested in maximizing the key rate, i.e. the number of key bits that can be obtained per signal, for a fixed security parameter. In the finite size regime, we furthermore also care about the minimum number of signals required before key can be obtained at all. Here, we perform a fully finite size analysis of device independent protocols using the CHSH inequality both for collective and coherent attacks. For coherent attacks, we sharpen the results recently derived in Arnon-Friedman et al., Nat. Commun. 9, 459 (2018) [1], to reduce the minimum number of signals before key can be obtained. In the regime of collective attacks, where the devices are restricted to have no memory, we employ two different techniques that exploit this restriction to further reduce the number of signals. We then discuss experimental platforms in which DIQKD may be implemented. We analyse Bell violations and expected QBER achieved in previous Bell tests with distant setups and situate these parameters in the security analysis. Moreover, focusing on one of the experimental platforms, namely nitrogen-vacancy based systems, we describe experimental improvements that can lead to a device-independent quantum key distribution implementation in the near future. arXiv:1811.07983v2 [quant-ph]

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Entropy Accumulation With Improved Second-Order Term

Cited by 66 publications

References 41 publications

A Framework for Quantum-Secure Device-Independent Randomness Expansion

A Framework for Quantum-Secure Device-Independent Randomness Expansion

Long-distance device-independent quantum key distribution

Towards a realization of device-independent quantum key distribution

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