Quantum uncertainty principles for measurements with interventions
Heisenberg's uncertainty principle implies fundamental constraints on what properties of a quantum system we can simultaneously learn. However, it typically assumes that we probe these properties via measurements at a single point in time. In contrast, inferring causal dependencies in complex p...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2023
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| Online Access: | https://hdl.handle.net/10356/171713 |
| _version_ | 1826118427927904256 |
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| author | Xiao, Yunlong Yang, Yuxiang Wang, Ximing Liu, Qing Gu, Mile |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Xiao, Yunlong Yang, Yuxiang Wang, Ximing Liu, Qing Gu, Mile |
| author_sort | Xiao, Yunlong |
| collection | NTU |
| description | Heisenberg's uncertainty principle implies fundamental constraints on what properties of a quantum system we can simultaneously learn. However, it typically assumes that we probe these properties via measurements at a single point in time. In contrast, inferring causal dependencies in complex processes often requires interactive experimentation-multiple rounds of interventions where we adaptively probe the process with different inputs to observe how they affect outputs. Here, we demonstrate universal uncertainty principles for general interactive measurements involving arbitrary rounds of interventions. As a case study, we show that they imply an uncertainty trade-off between measurements compatible with different causal dependencies. |
| first_indexed | 2024-10-01T04:43:13Z |
| format | Journal Article |
| id | ntu-10356/171713 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:43:13Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | ntu-10356/1717132023-11-06T15:35:07Z Quantum uncertainty principles for measurements with interventions Xiao, Yunlong Yang, Yuxiang Wang, Ximing Liu, Qing Gu, Mile School of Physical and Mathematical Sciences National University of Singapore MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit Institute of High Performance Computing, A*STAR Nanyang Quantum Hub Science::Physics Entropy Interactive Measurement Heisenberg's uncertainty principle implies fundamental constraints on what properties of a quantum system we can simultaneously learn. However, it typically assumes that we probe these properties via measurements at a single point in time. In contrast, inferring causal dependencies in complex processes often requires interactive experimentation-multiple rounds of interventions where we adaptively probe the process with different inputs to observe how they affect outputs. Here, we demonstrate universal uncertainty principles for general interactive measurements involving arbitrary rounds of interventions. As a case study, we show that they imply an uncertainty trade-off between measurements compatible with different causal dependencies. Agency for Science, Technology and Research (A*STAR) Ministry of Education (MOE) National Research Foundation (NRF) Published version This work is supported by the Singapore Ministry of Education Tier 2 Grant No. MOE-T2EP50221-0005, the National Research Foundation, Singapore, and Agency for Science, Technology and Research (A*STAR) under its QEP2.0 program (NRF2021-QEP2-02-P06), the National Research Foundation under the NRF-QEP program (NRF2021-QEP2-02-P06), the Singapore Ministry of Education Tier 1 Grant No. RG146/20, FQXi-RFP-1809 (The Role of Quantum Effects in Simplifying Quantum Agents) from the Foundational Questions Institute, and Fetzer Franklin Fund (a donor-advised fund of Silicon Valley Community Foundation). Y. X. is supported by A*STAR's Central Research Fund (CRF UIBR). Y. Y. acknowledges support from the Swiss National Science Foundation via the National Center for Competence in Research "QSIT" as well as via project No. 200020_165843, support from Guangdong Basic and Applied Basic Research Foundation (Project No. 2022A1515010340), and support from the Hong Kong Research Grant Council (RGC) through the Early Career Scheme (ECS) Grant No. 27310822. 2023-11-06T03:06:57Z 2023-11-06T03:06:57Z 2023 Journal Article Xiao, Y., Yang, Y., Wang, X., Liu, Q. & Gu, M. (2023). Quantum uncertainty principles for measurements with interventions. Physical Review Letters, 130(24), 240201-. https://dx.doi.org/10.1103/PhysRevLett.130.240201 0031-9007 https://hdl.handle.net/10356/171713 10.1103/PhysRevLett.130.240201 37390437 2-s2.0-85163681634 24 130 240201 en MOE-T2EP50221-0005 NRF2021-QEP2-02-P06 RG146/20 Physical Review Letters © 2023 American Physical Society. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1103/PhysRevLett.130.240201 or URL link. application/pdf |
| spellingShingle | Science::Physics Entropy Interactive Measurement Xiao, Yunlong Yang, Yuxiang Wang, Ximing Liu, Qing Gu, Mile Quantum uncertainty principles for measurements with interventions |
| title | Quantum uncertainty principles for measurements with interventions |
| title_full | Quantum uncertainty principles for measurements with interventions |
| title_fullStr | Quantum uncertainty principles for measurements with interventions |
| title_full_unstemmed | Quantum uncertainty principles for measurements with interventions |
| title_short | Quantum uncertainty principles for measurements with interventions |
| title_sort | quantum uncertainty principles for measurements with interventions |
| topic | Science::Physics Entropy Interactive Measurement |
| url | https://hdl.handle.net/10356/171713 |
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