### Abstract

Original language | English |
---|---|

Title of host publication | Quantum Theory |

Subtitle of host publication | Informational Foundations and Foils |

Editors | Giulio Chiribella, Robert W. Spekkens |

Place of Publication | Netherlands |

Publisher | Springer |

Pages | 1-55 |

Number of pages | 55 |

Volume | 181 |

Edition | 1 |

ISBN (Print) | 9789401773027 |

Publication status | Published - 11 Jun 2015 |

### Publication series

Name | Fundamental Theories of Physics |
---|---|

Publisher | Springer Netherlands |

Number | 1 |

Volume | 181 |

ISSN (Print) | 0168-1222 |

### Fingerprint

### Keywords

- quantum physics
- quantum theory
- theoretical physics
- quantum mechanics

### Cite this

*Quantum Theory: Informational Foundations and Foils*(1 ed., Vol. 181, pp. 1-55). (Fundamental Theories of Physics; Vol. 181, No. 1). Netherlands: Springer.

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*Quantum Theory: Informational Foundations and Foils.*1 edn, vol. 181, Fundamental Theories of Physics, no. 1, vol. 181, Springer, Netherlands, pp. 1-55.

**Generalised compositional theories and diagrammatic reasoning.** / Coecke, Bob; Duncan, Ross; Kissinger, Aleks; Wang, Quanlong.

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)

TY - CHAP

T1 - Generalised compositional theories and diagrammatic reasoning

AU - Coecke, Bob

AU - Duncan, Ross

AU - Kissinger, Aleks

AU - Wang, Quanlong

PY - 2015/6/11

Y1 - 2015/6/11

N2 - This chapter provides an introduction to the use of diagrammatic language, or perhaps more accurately, diagrammatic calculus, in quantum information and quantum foundations. We illustrate the use of diagrammatic calculus in one particular case, namely the study of complementarity and non-locality, two fundamental concepts of quantum theory whose relationship we explore in later part of this chapter. The diagrammatic calculus that we are concerned with here is not merely an illustrative tool, but it has both (i) a conceptual physical backbone, which allows it to act as a foundation for diverse physical theories, and (ii) a genuine mathematical underpinning, permitting one to relate it to standard mathematical structures.

AB - This chapter provides an introduction to the use of diagrammatic language, or perhaps more accurately, diagrammatic calculus, in quantum information and quantum foundations. We illustrate the use of diagrammatic calculus in one particular case, namely the study of complementarity and non-locality, two fundamental concepts of quantum theory whose relationship we explore in later part of this chapter. The diagrammatic calculus that we are concerned with here is not merely an illustrative tool, but it has both (i) a conceptual physical backbone, which allows it to act as a foundation for diverse physical theories, and (ii) a genuine mathematical underpinning, permitting one to relate it to standard mathematical structures.

KW - quantum physics

KW - quantum theory

KW - theoretical physics

KW - quantum mechanics

UR - http://www.springer.com/us/book/9789401773027

UR - http://arxiv.org/abs/1506.03632

M3 - Chapter (peer-reviewed)

SN - 9789401773027

VL - 181

T3 - Fundamental Theories of Physics

SP - 1

EP - 55

BT - Quantum Theory

A2 - Chiribella, Giulio

A2 - Spekkens, Robert W.

PB - Springer

CY - Netherlands

ER -