𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Impossibility of Keyless Communication in Quantum Cryptography

✍ Scribed by Daniel Greenberger; Mark Hillary


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
100 KB
Volume
48
Category
Article
ISSN
0015-8208

No coin nor oath required. For personal study only.

✦ Synopsis


We define a keyless communication as a message sent from one party (Alice) to another (Bob), such that the message is totally secure. This means that if a third party (Eve) is trying to eavesdrop, she will receive only random bits. She cannot understand the content of the message, even if she is able to intercept it in such away that Alice and Bob do not know it has been intercepted. For such a totally secure message, Alice and Bob do not need to set up any key beforehand, as it can add no further security.

Starting with a system that we felt sure met such criteria, we were shocked to find out that it could be broken in at least two ways, by a semi-classical method and by a quantum method, such that Eve could read a message and Alice and Bob would not know it. Alice and Bob can counter such eavesdropping, but only by sending out test messages. This will enable them to ascertain that Eve is on the line, but then she can still occasionally pick up snippets of their conversation. In that case, in order to be totally secure, it is better to establish an unbreakable key beforehand.

We postulate and give plausibility arguments that in general it is impossible to establish keyless communication between two parties.


πŸ“œ SIMILAR VOLUMES


The Impact of Quantum Computing on Crypt
✍ Marie A Wright πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 187 KB

This article explores the impact of quantum computing on cryptography. Quantum computing is an application of quantum theory in which the behaviours of subatomic particles are used to perform computations. In order to better understand the nature of quantum computing, the article begins with an over

On the impossibility of estimating densi
✍ Jan Beirlant; Luc Devroye πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 100 KB

We give a short proof of the following result. Let X1; : : : ; Xn be independent and identically distributed observations drawn from a density f on the real line. Let fn be any estimate of the density gn of max(X1; : : : ; Xn). We show that there exists a unimodal inΓΏnitely many times di erentiable

Impossibility of Determining the Unknown
✍ Orly Alter; Yoshihisa Xamamoto πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 207 KB

We establish that the information which can be obtained in the measurement of a single system about the unknown quantum wavefunction of the system is limited to estimates of the expectation values of the measured observables, with the estimate errors satisfying the uncertainty principle. Only the fu