From Quantum Probabilities to Quantum Amplitudes
| Autor: | Dmitri Sokolovski, S. Martínez-Garaot, M. Pons |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
General Physics and Astronomy
lcsh:Astrophysics Interference (wave propagation) 01 natural sciences Article 010305 fluids & plasmas symbols.namesake Pauli exclusion principle Pauli problem lcsh:QB460-466 0103 physical sciences Quantum system Feynman diagram Weak measurement Limit (mathematics) Statistical physics lcsh:Science 010306 general physics Quantum Physics quantum measurements weak measurements lcsh:QC1-999 Path (graph theory) symbols lcsh:Q transition amplitudes quantum particle’s past lcsh:Physics |
| Zdroj: | Addi. Archivo Digital para la Docencia y la Investigación instname Entropy Volume 22 Issue 12 Entropy, Vol 22, Iss 1389, p 1389 (2020) Addi: Archivo Digital para la Docencia y la Investigación Universidad del País Vasco |
| Popis: | The task of reconstructing the system&rsquo s state from the measurements results, known as the Pauli problem, usually requires repetition of two successive steps. Preparation in an initial state to be determined is followed by an accurate measurement of one of the several chosen operators in order to provide the necessary &ldquo Pauli data&rdquo We consider a similar yet more general problem of recovering Feynman&rsquo s transition (path) amplitudes from the results of at least three consecutive measurements. The three-step histories of a pre- and post-selected quantum system are subjected to a type of interference not available to their two-step counterparts. We show that this interference can be exploited, and if the intermediate measurement is &ldquo fuzzy&rdquo the path amplitudes can be successfully recovered. The simplest case of a two-level system is analysed in detail. The &ldquo weak measurement&rdquo limit and the usefulness of the path amplitudes are also discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|