1998/07/31 by H. Bechmann-Pasquinucci, Nicolas Gisin, N. Gisin · 2 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1103/physreva.59.4238
published as Phys. Rev. A, 59, 4238-4248, 1999 · 17 pages, 4 figures: Updated version, discussion on error correction and privacy amplification added
arxiv created 1998/12/20 · openalex publication_date 1999/06/01 · arxiv updated 2013/01/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
All incoherent as well as 2- and 3-qubit coherent eavesdropping strategies on the six-state protocol of quantum cryptography are classified. For a disturbance of 1/6, the optimal incoherent eavesdropping strategy reduces to the universal quantum cloning machine. Coherent eavesdropping cannot increase Eve's Shannon information, neither on the entire string of bits, nor on the set of bits received undisturbed by Bob. However, coherent eavesdropping can increase as well Eve's Renyi information as her probability of guessing correctly all bits. The case that Eve delays the measurement of her probe until after the public discussion on error correction and privacy amplification is also considered. It is argued that by doing so, Eve gains only negligibly small additional information.