Estimating quantum coherence by noncommutativity of any observable and its incoherent part

Ray, Tanaya; Ghoshal, Ahana; Pati, Arun Kumar; Sen, Ujjwal

doi:10.1103/physreva.105.062423

Phys. Rev. A

2022

DOI: 10.1103/physreva.105.062423

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Estimating quantum coherence by noncommutativity of any observable and its incoherent part

Tanaya Ray

Ahana Ghoshal

Arun Kumar Pati

et al.

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2024

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Cited by 2 publications

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Classifying coherence with a finite set of witnesses

Zhu,

Jin,

Bao

et al. 2024

J. Phys. A: Math. Theor.

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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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Classifying coherence with a finite set of witnesses

Zhu,

Jin,

Bao

et al. 2024

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

Witnessing quantum coherence with prior knowledge of observables

Li,

Xu,

Fei

et al. 2024

Phys. Rev. A

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Estimating quantum coherence by noncommutativity of any observable and its incoherent part

Cited by 2 publications

References 40 publications

Classifying coherence with a finite set of witnesses

Classifying coherence with a finite set of witnesses

Witnessing quantum coherence with prior knowledge of observables

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