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Title: Quantum uncertainty principles for measurements with interventions
Authors: Xiao, Yunlong
Yang, Yuxiang
Wang, Ximing
Liu, Qing
Gu, Mile
Keywords: Science::Physics
Issue Date: 2023
Source: Xiao, Y., Yang, Y., Wang, X., Liu, Q. & Gu, M. (2023). Quantum uncertainty principles for measurements with interventions. Physical Review Letters, 130(24), 240201-.
Project: MOE-T2EP50221-0005 
Journal: Physical Review Letters 
Abstract: 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.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.130.240201
Schools: School of Physical and Mathematical Sciences 
Organisations: National University of Singapore 
MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit 
Institute of High Performance Computing, A*STAR 
Research Centres: Nanyang Quantum Hub
Rights: © 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 or URL link.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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