Improved one-way rates for BB84 and 6-state protocols

Kern, Oliver; Renes, Joseph M.

doi:10.26421/qic8.8-9-6

Cited by 7 publications

(10 citation statements)

References 13 publications

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“…Furthermore, the private state distillation approach suggests that it would be beneficial to combine two types of preprocessing operations previously studied, and this was indeed shown to be the case for the BB84 protocol in [SRS08]. Further improvements and an extension of the method to the six-state protocol were reported in [KR08], and we describe both of these results here.…”

Section: Duality Of Privacy Amplification and Information Reconciliationmentioning

confidence: 59%

“…The best threshold found in [SRS08] is 12.9%, corresponding to q ≈ 0.32 and m = 400. A more elaborate analysis is required for the six-state protocol, and this is carried out in [KR08], with the result that the threshold is at least 14.59%. Additionally, the effects of iterating the entire noisy preprocessing plus repetition code procedure are investigated therein, and this is found to offer substantial increases in the key distribution rate of the protocol at high error rates, though the overall threshold is not as large.…”

Section: Duality Of Privacy Amplification and Information Reconciliationmentioning

confidence: 99%

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The Physics of Quantum Information: Complementarity, Uncertainty, and Entanglement

Renes

2013

Int. J. Quantum Inform.

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1 The included papers are referenced in alphabetical style, while references to other works are numeric. 1 PREFACE of the included papers, it is entirely self-contained, whereas subsequent chapters do not go into as much detail.In Chapter 4 we show that this complementary approach is also useful in constructing quantum information processing protocols and understanding why they work. Especially relevant is the process of entanglement distillation, that is, extracting maximal entanglement from a imperfectlyentangled bipartite resource system. The entanglement distillation process can be built up from two instances, one for each of two complementary observables, of a simpler distillation process for classical information called information reconciliation or data compression with side information.Here partial classical correlation between two systems is refined into maximal correlation, and reconciling classical information about two complementary observables. Protocols for entanglement distillation can then be adapted to a large variety of quantum information processing tasks, such as quantum communication over noisy channels or distillation of secret keys.Chapter 5 extends the duality in characterizing entanglement afforded by the uncertainty principle to two fundamental information processing tasks, the information reconciliation task of establishing correlations with the first party on the one hand, and the task of removing all correlations with the second party on the other. The latter is known as privacy amplification, and it turns out that the ability to perform one protocol implies the ability to perform the other in certain circumstances. This duality also implies alternative methods of entanglement distillation, in particular one which proceeds by destroying all classical correlations with the environment that pertain to two complementary observables. We shall also see that information reconciliation and privacy amplification can be combined to enable classical communication over noisy quantum channels.Finally, Chapter 6 describes the usefulness of this approach to establishing the security of quantum key distribution (QKD). QKD is perhaps the most natural setting in which the uncertainty principle and corresponding issues of complementarity are immediately relevant, as the goal of this protocol is to establish a secret key between two spatially-separated parties, a shared piece of classical information which no one else should know. Since the uncertainty principle can be understood as a limitation on who can know how much about what sorts of information, we shall see that complementarity-based arguments form the basis for the security of QKD protocols. These allow us to increase the security threshold, the maximum amount of tolerable noise, of several protocols beyond the previously-known values.The following table summarizes which included papers form the basis for the various sections.1 Interestingly, Vannevar Bush had already used the phrase of "bits of information" in 1936 to describe information enco...

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Section: Duality Of Privacy Amplification and Information Reconciliationmentioning

confidence: 59%

Section: Duality Of Privacy Amplification and Information Reconciliationmentioning

confidence: 99%

The Physics of Quantum Information: Complementarity, Uncertainty, and Entanglement

Renes

2013

Int. J. Quantum Inform.

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“…We thus write in such cases K A = A 1 and H(K A |XE) = H(A 1 |E). We will also consider noisy preprocessing [13,14], where Alice's raw key bit K A is again the outcome of the measurement A 1 , but with probability q she flips it and with probability 1 − q she keeps it as it is. We write K A = A q 1 for the corresponding random variable and thus H(K A |XE) = H(A q 1 |E) for the conditional entropy.…”

Section: Description Of Our Approachmentioning

confidence: 99%

“…As a second example, let us add noisy preprocessing [13,14] to the raw key procedure: Alice's raw key bit…”

Section: B Bb84-type Uncertainty Relationsmentioning

confidence: 99%

Simple and practical DIQKD security analysis via BB84-type uncertainty relations and Pauli correlation constraints

Masini¹,

Pironio²,

Woodhead³

2021

Preprint

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According to the entropy accumulation theorem, proving the unconditional security of a deviceindependent quantum key distribution protocol reduces to deriving tradeoff functions, i.e., bounds on the single-round von Neumann entropy of the raw key as a function of Bell linear functionals, conditioned on an eavesdropper's quantum side information. In this work, we describe how the conditional entropy can be bounded in the 2-input/2-output setting, where the analysis can be reduced to qubit systems, by combining entropy bounds for variants of the well-known BB84 protocol with quantum constraints on qubit operators on the bipartite system shared by Alice and Bob. The approach gives analytic bounds on the entropy, or semi-analytic ones in reasonable computation time, which are typically close to optimal. We illustrate the approach on a variant of the device-independent CHSH QKD protocol where both bases are used to generate the key as well as on a more refined analysis of the original single-basis variant with respect to losses. We obtain in particular a detection efficiency threshold slightly below 80.26%, within reach of current experimental capabilities.

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“…The relevant error rates for practical tests of quantum information protocols are below 20% [20]. For this reason, it is desirable to have a depolarizing scheme that can be tuned to small values of depolarization or even to zero depolarization.…”

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confidence: 99%

Realizing controllable depolarization in photonic quantum-information channels

Shaham

Eisenberg

2011

Phys. Rev. A

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Controlling the depolarization of light is a long-standing open problem. In recent years, many demonstrations have used the polarization of single photons to encode quantum information. The depolarization of these photons is equivalent to the decoherence of the quantum information they encode. We present schemes for building various depolarizing channels with controlled properties using birefringent crystals. Three such schemes are demonstrated, and their effects on single photons are shown by quantum process tomography to be in good agreement with a theoretical model.

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Improved one-way rates for BB84 and 6-state protocols

Cited by 7 publications

References 13 publications

The Physics of Quantum Information: Complementarity, Uncertainty, and Entanglement

The Physics of Quantum Information: Complementarity, Uncertainty, and Entanglement

Simple and practical DIQKD security analysis via BB84-type uncertainty relations and Pauli correlation constraints

Realizing controllable depolarization in photonic quantum-information channels

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