### Abstract

Quantum probabilities are generated by quantum states. But if neither quantum states nor Born probabilities describe or represent physical reality, then how can we use them to explain what happens? An otherwise puzzling phenomenon is explained when it is seen to be just what one should have expected. In accepting quantum theory one takes it as one's guide in forming beliefs in statements about values of magnitudes (NQMC)s. Quantum theory first licenses one to form degrees of belief only in certain (NQMC)s in a given situation, based on an assessment of the relevant degree of decoherence. A quantum state then advises adoption of specific degrees of belief in appropriately licensed (NQMC)s equal to Born probabilities. Given these beliefs, a corresponding statistical distribution of magnitude values will (almost always) be just what one would have expected. That is how we use quantum theory to explain statistical regularities, whether we know about these through experimental measurements or by observation of natural events. (It is, for example, how we can use quantum theory to explain violation of Bell inequalities without any "spooky" action at a distance).

Original language | English (US) |
---|---|

Title of host publication | AIP Conference Proceedings |

Pages | 134-138 |

Number of pages | 5 |

Volume | 1424 |

DOIs | |

State | Published - 2012 |

Event | International Conference Foundations of Probability and Physics-6, FPP6 - Vaxjo, Sweden Duration: Jun 14 2011 → Jun 16 2011 |

### Other

Other | International Conference Foundations of Probability and Physics-6, FPP6 |
---|---|

Country | Sweden |

City | Vaxjo |

Period | 6/14/11 → 6/16/11 |

### Fingerprint

### Keywords

- Bell correlations
- Born probabilities
- Explanation
- Quantum states
- Representation

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*AIP Conference Proceedings*(Vol. 1424, pp. 134-138) https://doi.org/10.1063/1.3688962

**The explanatory function of quantum probabilities : Explanation without representation.** / Healey, Richard A.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*AIP Conference Proceedings.*vol. 1424, pp. 134-138, International Conference Foundations of Probability and Physics-6, FPP6, Vaxjo, Sweden, 6/14/11. https://doi.org/10.1063/1.3688962

}

TY - CHAP

T1 - The explanatory function of quantum probabilities

T2 - Explanation without representation

AU - Healey, Richard A

PY - 2012

Y1 - 2012

N2 - Quantum probabilities are generated by quantum states. But if neither quantum states nor Born probabilities describe or represent physical reality, then how can we use them to explain what happens? An otherwise puzzling phenomenon is explained when it is seen to be just what one should have expected. In accepting quantum theory one takes it as one's guide in forming beliefs in statements about values of magnitudes (NQMC)s. Quantum theory first licenses one to form degrees of belief only in certain (NQMC)s in a given situation, based on an assessment of the relevant degree of decoherence. A quantum state then advises adoption of specific degrees of belief in appropriately licensed (NQMC)s equal to Born probabilities. Given these beliefs, a corresponding statistical distribution of magnitude values will (almost always) be just what one would have expected. That is how we use quantum theory to explain statistical regularities, whether we know about these through experimental measurements or by observation of natural events. (It is, for example, how we can use quantum theory to explain violation of Bell inequalities without any "spooky" action at a distance).

AB - Quantum probabilities are generated by quantum states. But if neither quantum states nor Born probabilities describe or represent physical reality, then how can we use them to explain what happens? An otherwise puzzling phenomenon is explained when it is seen to be just what one should have expected. In accepting quantum theory one takes it as one's guide in forming beliefs in statements about values of magnitudes (NQMC)s. Quantum theory first licenses one to form degrees of belief only in certain (NQMC)s in a given situation, based on an assessment of the relevant degree of decoherence. A quantum state then advises adoption of specific degrees of belief in appropriately licensed (NQMC)s equal to Born probabilities. Given these beliefs, a corresponding statistical distribution of magnitude values will (almost always) be just what one would have expected. That is how we use quantum theory to explain statistical regularities, whether we know about these through experimental measurements or by observation of natural events. (It is, for example, how we can use quantum theory to explain violation of Bell inequalities without any "spooky" action at a distance).

KW - Bell correlations

KW - Born probabilities

KW - Explanation

KW - Quantum states

KW - Representation

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U2 - 10.1063/1.3688962

DO - 10.1063/1.3688962

M3 - Chapter

SN - 9780735410046

VL - 1424

SP - 134

EP - 138

BT - AIP Conference Proceedings

ER -