Limits on sequential sharing of nonlocal advantage of quantum coherence

Sequential sharing of nonlocal correlation is inherently related to its application. We address the question as to how many observers can share the nonlocal advantage of quantum coherence (NAQC) in a ( d × d )-dimensional state, where d is a prime or a power of a prime. We first analyze the trade-of...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy mechanics & astronomy, 2022-06, Vol.65 (6), p.260312, Article 260312
Main Authors: Hu, Ming-Liang, Wang, Jia-Ru, Fan, Heng
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Atoms
Classical and Continuum Physics
Coherence
Correlation
Observations and Techniques
Physics
Physics and Astronomy
Quantum phenomena
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Summary:Sequential sharing of nonlocal correlation is inherently related to its application. We address the question as to how many observers can share the nonlocal advantage of quantum coherence (NAQC) in a ( d × d )-dimensional state, where d is a prime or a power of a prime. We first analyze the trade-off between disturbance and information gain of the general d -dimensional unsharp measurements. Then in a scenario where multiple Alices perform unsharp measurements on one party of the state sequentially and independently and a single Bob measures coherence of the conditional states on the other party, we show that at most one Alice can demonstrate NAQC with Bob. This limit holds even when considering the weak measurements with optimal pointer states. These results may shed light on the interplay between nonlocal correlations and quantum measurements on high-dimensional systems and the hierarchy of different quantum correlations.
ISSN:1674-7348
1869-1927
DOI:10.1007/s11433-022-1892-0