Non-holonomic tomography I: The Born rule as a connection between experiments
| Autor: | Jackson, Christopher, van Enk, Steven |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 95, 052327 (2017) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.95.052327 |
| Popis: | In the context of quantum tomography, we recently introduced a quantity called a partial determinant \cite{jackson2015detecting}. PDs (partial determinants) are explicit functions of the collected data which are sensitive to the presence of state-preparation-and-measurment (SPAM) correlated errors. As such, PDs bypass the need to estimate state-preparation or measurement parameters individually. In the present work, we suggest a theoretical perspective for the PD. We show that the PD is a holonomy and that the notions of state, measurement, and tomography can be generalized to non-holonomic constraints. To illustrate and clarify these abstract concepts, direct analogies are made to parallel transport, thermodynamics, and gauge field theory. This paper is the first of a two part series where the second paper [2] is about scalable applications of the PD to multiqudit systems. Comment: 13 pages, 13 figures; This paper is 1 of 2 papers which are an updated version of a single paper, arXiv:1608.08067, that has been withdrawn |
| Databáze: | arXiv |
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