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Complementarity and duality relations for finite-dimensional systems
Author(s) -
Alfredo Luis
Publication year - 2003
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.67.032108
Subject(s) - physics , observable , duality (order theory) , complementarity (molecular biology) , measure (data warehouse) , statistical physics , quantum , theoretical physics , dimension (graph theory) , certainty , strong duality , quantum mechanics , classical mechanics , pure mathematics , algorithm , mathematics , geometry , optimization problem , biology , genetics , database , computer science
We generalize to systems with arbitrary finite dimension a measure of quantum fluctuations (the certainty) previously introduced for two-dimensional systems. Using this measure, we study the duality relations satisfied by complementary observables looking for states with minimum joint fluctuations (maximum certainty states). We extend the duality relations to encompass several complementary observables simultaneously

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