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The Tightness of Multipartite Coherence from Spectrum Estimation
Qi-Ming Ding1, Xiao-Xu Fang1, He Lu1
1School of Physics, Shandong University, Jinan 250100, China.
Entropy (Basel, Switzerland)
|November 27, 2021
Summary
Detecting multipartite quantum coherence is now more efficient. A generalized spectrum-estimation method improves accuracy for various coherence measures without needing full quantum state reconstruction.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Physics
Background:
- Detecting multipartite quantum coherence typically requires inefficient quantum state reconstruction, especially for large quantum systems.
- Efficient methods for detecting quantum coherence without state reconstruction are crucial for advancing quantum technologies.
Purpose of the Study:
- To generalize the spectrum-estimation-based method for the geometric measure of coherence.
- To investigate the accuracy of lower bounds for various coherence measures using this method.
- To compare the spectrum-estimation method with other efficient coherence detection techniques.
Main Methods:
- Generalization of the spectrum-estimation-based method for the geometric measure of coherence.
- Analysis of the tightness of estimated lower bounds for multiple coherence measures.
- Demonstration and comparison of the spectrum-estimation method against two other efficient techniques.
Main Results:
- The generalized spectrum-estimation method provides accurate lower bounds for coherence measures.
- The spectrum-estimation method demonstrates superior performance compared to other efficient methods.
- Enhanced accuracy in estimating multipartite quantum coherence was achieved.
Conclusions:
- The spectrum-estimation-based method offers a highly accurate and efficient approach for detecting multipartite quantum coherence.
- This advancement is significant for the scalability and practical application of quantum information processing.
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