Unified picture for spatial, temporal, and channel steering
- Quantum steering describes how local actions on a quantum system can affect another, spacelike separated, quantum state. Lately, quantum steering has been formulated also for timelike scenarios and for quantum channels. We approach all the three scenarios as one using tools from Stinespring dilations of quantum channels. By applying our technique we link all three steering problems one-to-one with the incompatibility of quantum measurements, a result formerly known only for spatial steering. We exploit this connection by showing how measurement uncertainty relations can be used as tight steering inequalities for all three scenarios. Moreover, we show that certain notions of temporal and spatial steering are fully equivalent and prove a hierarchy between temporal steering and macrorealistic hidden variable models.
| Author details: | Roope UolaGND, Fabiano LeverORCiD, Otfried GühneORCiDGND, Juha-Pekka Pellonpaa |
|---|---|
| DOI: | https://doi.org/10.1103/PhysRevA.97.032301 |
| ISSN: | 2469-9926 |
| ISSN: | 2469-9934 |
| Title of parent work (English): | Physical review : A, Atomic, molecular, and optical physics |
| Publisher: | American Physical Society |
| Place of publishing: | College Park |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2018/03/02 |
| Publication year: | 2018 |
| Release date: | 2022/01/10 |
| Volume: | 97 |
| Issue: | 3 |
| Number of pages: | 6 |
| Funding institution: | ERCEuropean Research Council (ERC) [683107/TempoQ]; DFGGerman Research Foundation (DFG); Finnish Cultural FoundationFinnish Cultural Foundation |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
