Characterizing quantum state-space with a single quantum measurement
| Autor: | Weiss, Matthew B. |
|---|---|
| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Can the state-space of $d$-dimensional quantum theory be derived from studying the behavior of a single measuring device? The answer is yes, if the measuring device corresponds to a complex-projective 3-design. Through its Jordan algebraic structure, quantum state-space is fully determined by its third moment, allowing one to characterize the states of the theory by their probabilities with respect to a 3-design measurement. QBism proposes that quantum theory is normative guidance for an agent's gambles in a world without hidden variables and re-interprets the quantum formalism as a set of consistency conditions on an agent's probability assignments across different experiments. Thus consistency with a single 3-design "reference device," properly interpreted, implies consistency with all of quantum theory. Comment: 8 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|