Bases in diagrammatic quantum protocols Export

@article{citeulike:3102927, abstract = {This paper contains two new results: 1. We amend the notion of abstract basis in a dagger symmetric monoidal category, as well as its corresponding graphical representation, in order to accommodate non-self-dual dagger compact structures; this is crucial for obtaining a `planar' diagrammatical representation of the induced dagger compact structure as well as for representing many complementary bases within one diagrammatic calculus. 2. We (crucially) rely on these basis structures in a purely diagrammatic derivation of the `quantum state transfer protocol'; this derivation provides interesting insights in the distinct structural resources required for state-transfer and teleportation as models of quantum computing.}, archivePrefix = {arXiv}, author = {Coecke, Bob and Paquette, Eric O. and Perdrix, Simon}, citeulike-article-id = {3102927}, citeulike-linkout-0 = {http://arxiv.org/abs/0808.1029}, citeulike-linkout-1 = {http://arxiv.org/pdf/0808.1029}, day = {7}, eprint = {0808.1029}, keywords = {category-theory, mathematics, physics, printed, quantum}, month = {Aug}, posted-at = {2008-08-09 01:15:13}, priority = {3}, title = {Bases in diagrammatic quantum protocols}, url = {http://arxiv.org/abs/0808.1029}, year = {2008} }

TY - JOUR ID - citeulike:3102927 L3 - citeulike-article-id:3102927 N2 - This paper contains two new results: 1. We amend the notion of abstract basis in a dagger symmetric monoidal category, as well as its corresponding graphical representation, in order to accommodate non-self-dual dagger compact structures; this is crucial for obtaining a `planar' diagrammatical representation of the induced dagger compact structure as well as for representing many complementary bases within one diagrammatic calculus. 2. We (crucially) rely on these basis structures in a purely diagrammatic derivation of the `quantum state transfer protocol'; this derivation provides interesting insights in the distinct structural resources required for state-transfer and teleportation as models of quantum computing. TI - Bases in diagrammatic quantum protocols KW - category-theory KW - mathematics KW - physics KW - printed KW - quantum AU - Coecke, Bob AU - Paquette, Eric AU - Perdrix, Simon PY - 2008/Aug/07/ UR - http://arxiv.org/abs/0808.1029 ER -