学术进展

Classifying coherence with a finite set of witnesses

论文作者:

Xue-Na Zhu, Zhi-Xiang Jin, Gui Bao, Shao-Ming Fei

论文题目:

Classifying coherence with a finite set of witnesses

发表期刊:

J. Phys. A
57 (2024) 455208

摘要:

Coherence is a fundamental resource in quantum information processing, which can be certified by a coherence witness.
In order to detect all the coherent states, we introduce a useful concept of coherence witness and structure the set of coherence witnesses $C^{d}_{[m,M]}$.
We present necessary and sufficient conditions of detecting quantum coherence of $d-$dimensional quantum states based on $C^{d}_{[m,M]}$.
Moreover,we show that each coherent state can be detected by one of the coherence witnesses in a finite set.

 The corresponding finite set of coherence witnesses is presented explicitly, which detects all the coherent states.

第12题_看新晴@微信_20241025_微信图片_20241025211910_1.png