From Information Geometry to Quantum Theory Export

@article{citeulike:2814543, abstract = {In this paper, we show how information geometry, the natural geometry of discrete probability distributions, can be used to derive the quantum formalism. The derivation rests upon three elementary features of quantum phenomena, namely complementarity, measurement simulability, and global gauge invariance. When these features are appropriately formalized within an information geometric framework, and combined with a novel information-theoretic principle, the central features of the finite-dimensional quantum formalism can be reconstructed.}, archivePrefix = {arXiv}, author = {Goyal, Philip}, citeulike-article-id = {2814543}, citeulike-linkout-0 = {http://arxiv.org/abs/0805.2770}, citeulike-linkout-1 = {http://arxiv.org/pdf/0805.2770}, day = {8}, eprint = {0805.2770}, keywords = {information, information-geometry, quant-ph, quantum-theory}, month = {Oct}, posted-at = {2009-09-01 08:17:11}, priority = {2}, title = {From Information Geometry to Quantum Theory}, url = {http://arxiv.org/abs/0805.2770}, year = {2008} }

TY - JOUR ID - citeulike:2814543 L3 - citeulike-article-id:2814543 N2 - In this paper, we show how information geometry, the natural geometry of discrete probability distributions, can be used to derive the quantum formalism. The derivation rests upon three elementary features of quantum phenomena, namely complementarity, measurement simulability, and global gauge invariance. When these features are appropriately formalized within an information geometric framework, and combined with a novel information-theoretic principle, the central features of the finite-dimensional quantum formalism can be reconstructed. TI - From Information Geometry to Quantum Theory KW - information KW - information-geometry KW - quant-ph KW - quantum-theory AU - Goyal, Philip PY - 2008/Oct/08/ UR - http://arxiv.org/abs/0805.2770 ER -