<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Weigert, Stefan</style></author><author><style face="normal" font="default" size="100%">Wilkinson, Michael</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Mutually Unbiased Bases for Continuous Variables</style></title><secondary-title><style face="normal" font="default" size="100%">Phys. Rev. A 78, 020303(R)</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Mathematical Physics</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2008</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://arxiv.org/abs/0802.0394</style></url></web-urls></urls><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">The concept of mutually unbiased bases is studied for N pairs of continuous variables. To find mutually unbiased bases reduces, for specific states related to the Heisenberg-Weyl group, to a problem of symplectic geometry. Given a single pair of continuous variables, three mutually unbiased bases are identified while five such bases are exhibited for two pairs of continuous variables. For N = 2, the golden ratio occurs in the definition of these mutually unbiased bases suggesting the relevance of number theory not only in the finite-dimensional setting.</style></abstract><custom1><style face="normal" font="default" size="100%">arXiv:0802.0394</style></custom1></record></records></xml>