Extended Quantum Conditional Entropy and Quantum Uncertainty Inequalities

Frank, Rupert L.; Lieb, Élliott H.

doi:10.1007/s00220-013-1775-1

Cited by 35 publications

(37 citation statements)

References 22 publications

(72 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The former was first conjectured and proven in a special case by Renes and Boileau [137] and extended to infinite-dimensional systems [56,61]. Here we follow a simplified proof strategy due to Coles et al [37].…”

Section: Background and Further Readingmentioning

confidence: 94%

Quantum Information Processing with Finite Resources

Tomamichel¹

2016

SpringerBriefs in Mathematical Physics

275

398

View full text Add to dashboard Cite

Section: Background and Further Readingmentioning

confidence: 94%

Quantum Information Processing with Finite Resources

Tomamichel¹

2016

SpringerBriefs in Mathematical Physics

275

398

View full text Add to dashboard Cite

“…For our purposes, we require a general tripartite relation, encompassing Alice, Bob, and Eve, that holds for continuous quadrature observables in an infinite-dimensional Hilbert space (see Supplement 1 for details). Very recently, an appropriate relation bounding the entropy of Bob and Eve regarding the conjugate quadratures of Alice has been derived [43,44,51]:…”

Section: A Entropic Uncertainty Relations and Cv-qkdmentioning

confidence: 99%

“…In this paper we utilize further advances in entropic uncertainty relations [43,44] to theoretically and experimentally investigate the security of the entire family of 16 Gaussian CV-QKD protocols against arbitrary attacks in the asymptotic setting. We identify the six protocols, including two prepare-andmeasure (P&M) schemes, that can be proven 1sDI and compactly calculate their secret key rates.…”

Section: Introductionmentioning

confidence: 99%

Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution

Walk¹,

Hosseini²,

Geng³

et al. 2016

Optica

174

104

View full text Add to dashboard Cite

Nonlocal correlations, a longstanding foundational topic in quantum information, have recently found application as a resource for cryptographic tasks where not all devices are trusted, for example, in settings with a highly secure central hub, such as a bank or government department, and less secure satellite stations, which are inherently more vulnerable to hardware "hacking" attacks. The asymmetric phenomena of Einstein-Podolsky-Rosen (EPR) steering plays a key role in one-sided device-independent (1sDI) quantum key distribution (QKD) protocols. In the context of continuous-variable (CV) QKD schemes utilizing Gaussian states and measurements, we identify all protocols that can be 1sDI and their maximum loss tolerance. Surprisingly, this includes a protocol that uses only coherent states. We also establish a direct link between the relevant EPR steering inequality and the secret key rate, further strengthening the relationship between these asymmetric notions of nonlocality and device independence. We experimentally implement both entanglement-based and coherent-state protocols, and measure the correlations necessary for 1sDI key distribution up to an applied loss equivalent to 7.5 and 3.5 km of optical fiber transmission, respectively. We also engage in detailed modeling to understand the limits of our current experiment and the potential for further improvements. The new protocols we uncover apply the cheap and efficient hardware of CV-QKD systems in a significantly more secure setting.

show abstract

“…Since this pioneering work, measurement incompatibility has been extensively studied in many contexts, e.g. uncertainty relations [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] or joint measurability [20][21][22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Loss of information in quantum guessing game

Plesch

Pivoluska

2018

New J. Phys.

View full text Add to dashboard Cite

Incompatibility of certain measurements-impossibility of obtaining deterministic outcomes simultaneously-is a well known property of quantum mechanics. This feature can be utilized in many contexts, ranging from Bell inequalities to device dependent QKD protocols. Typically, in these applications the measurements are chosen from a predetermined set based on a classical random variable. One can naturally ask, whether the non-determinism of the outcomes is due to intrinsic hiding property of quantum mechanics, or rather by the fact that classical, incoherent information entered the system via the choice of the measurement. Authors Rozpedek et al (2017 New J. Phys. 19 023038) examined this question for a specific case of two mutually unbiased measurements on systems of different dimensions. They have somewhat surprisingly shown that in case of qubits, if the measurements are chosen coherently with the use of a controlled unitary, outcomes of both measurements can be guessed deterministically. Here we extend their analysis and show that specifically for qubits, measurement result for any set of measurements with any a priori probability distribution can be faithfully guessed by a suitable state preparation and measurement. We also show that up to a small set of specific cases, this is not possible for higher dimensions. This result manifests a deep difference in properties of qubits and higher dimensional systems and suggests that these systems might offer higher security in specific cryptographic protocols. More fundamentally, the results show that the impossibility of predicting a result of a measurement is not caused solely by a loss of coherence between the choice of the measurement and the guessing procedure.

show abstract

Extended Quantum Conditional Entropy and Quantum Uncertainty Inequalities

Cited by 35 publications

References 22 publications

Quantum Information Processing with Finite Resources

Quantum Information Processing with Finite Resources

Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution

Loss of information in quantum guessing game

Contact Info

Product

Resources

About