Witnessing quantum coherence with prior knowledge of observables
- URL: http://arxiv.org/abs/2311.10503v1
- Date: Fri, 17 Nov 2023 13:06:05 GMT
- Title: Witnessing quantum coherence with prior knowledge of observables
- Authors: Mao-Sheng Li, Wen Xu, Shao-Ming Fei, Zhu-Jun Zheng, and Yan-Ling Wang
- Abstract summary: Coherence is the key resource in quantum technologies including faster computing, secure communication and advanced sensing.
Having certain priori knowledge on the observables may enhance the efficiency of coherence detection.
- Score: 2.945494212374247
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum coherence is the key resource in quantum technologies including
faster computing, secure communication and advanced sensing. Its quantification
and detection are, therefore, paramount within the context of quantum
information processing. Having certain priori knowledge on the observables may
enhance the efficiency of coherence detection. In this work, we posit that the
trace of the observables is a known quantity. Our investigation confirms that
this assumption indeed extends the scope of coherence detection capabilities.
Utilizing this prior knowledge of the trace of the observables, we establish a
series of coherence detection criteria. We investigate the detection
capabilities of these coherence criteria from diverse perspectives and
ultimately ascertain the existence of four distinct and inequivalent criteria.
These findings contribute to the deepening of our understanding of coherence
detection methodologies, thereby potentially opening new avenues for
advancements in quantum technologies.
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