学术进展

Geometric-like imaginarity: Quantification and state conversion

论文作者:

Meng-Li Guo, Bo Li, Shao-Ming Fei

论文题目:

Geometric-like imaginarity: Quantification and state conversion

发表期刊:

Sci. China Phys. Mech. & Astron.
68 (2025) 220311

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.

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