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Chin. Phys. B, 2021, Vol. 30(6): 060315    DOI: 10.1088/1674-1056/abf3b5
Special Issue: SPECIAL TOPIC — Quantum computation and quantum simulation
SPECIAL TOPIC—Quantum computation and quantum simulation Prev   Next  

Fine-grained uncertainty relation for open quantum system

Shang-Bin Han(韩尚斌), Shuai-Jie Li(李帅杰), Jing-Jun Zhang(张精俊), and Jun Feng(冯俊)
School of Physics, Xi'an Jiaotong University, Xi'an 710049, China
Abstract  The fine-grained uncertainty relation (FUR) is investigated for accelerating open quantum system, which manifests the celebrated Unruh effect, a crucial piece of the jigsaw for combining relativity and quantum physics. For a single detector, we show that the inevitable Unruh decoherence can induce a smaller FUR uncertainty bound, which indicates an additional measurement uncertainty may exist. For an open system combined with two detectors, via a nonlocal retrieval game, the related FUR uncertainty bound is determined by the non-classical correlation of the system. By estimating the maximal violation of Bell inequality for an accelerating system, we show that the FUR uncertainty bound can be protected from Unruh decoherence, due to quantum correlation generated through Markovian dynamics.
Keywords:  open quantum system      fine-grained uncertainty relation      Unruh effect  
Received:  25 January 2021      Revised:  23 March 2021      Accepted manuscript online:  31 March 2021
PACS:  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  04.62.+v (Quantum fields in curved spacetime)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12075178) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JM1049).
Corresponding Authors:  Jun Feng     E-mail:  j.feng@xjtu.edu.cn

Cite this article: 

Shang-Bin Han(韩尚斌), Shuai-Jie Li(李帅杰), Jing-Jun Zhang(张精俊), and Jun Feng(冯俊) Fine-grained uncertainty relation for open quantum system 2021 Chin. Phys. B 30 060315

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