The Tightness of Multipartite Coherence from Spectrum Estimation

Ding, Qi-Ming; Fang, Xiao-Xu; Lu, He

doi:10.3390/e23111519

Cited by 7 publications

(8 citation statements)

References 69 publications

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“…Therefore, validating the effectiveness of coherence estimation methods has become an important topic in current research. One approach is to assess the quality of estimation methods by evaluating the tightness of computed quantified estimates [15].…”

Section: Introductionmentioning

confidence: 99%

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The tightness of the measure-based method to estimate quantum coherence

Zhang,

Li,

Luo

2024

Laser Phys. Lett.

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With the advancement of quantum information science, the understanding of quantum coherence has become increasingly important. In this paper, we investigate the effects of different channels on quantum states and analyze the evolution process of quantum states during channel transmission. Our findings reveal variations in the impact of different channels on quantum coherence. Additionally, we explore the estimation of lower bounds on coherence after passing through these diverse channels. We observe that channel transmission has a certain influence on the tightness of lower bounds on quantum coherence. We conduct a detailed analysis of this influence and propose improvement method to enhance the tightness of the lower bound estimation. Based on our research results, we draw conclusions that unveil the characteristics of quantum coherence under different channel conditions. Furthermore, we provide an effective estimation method and improvement strategies to accurately assess the coherence of quantum states. This research holds significant implications for further advancements in quantum information processing and quantum communication.

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Section: Introductionmentioning

confidence: 99%

“…In this paper, we specifically focus on validating the measure-based method of coherence estimation [16] by evaluating the tightness of the computed lower bounds [15]. This method requires estimation to be performed in a set of bases, and in our case, we utilize mutually unbiased bases (MUBs) [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

The tightness of the measure-based method to estimate quantum coherence

Zhang,

Li,

Luo

2024

Laser Phys. Lett.

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“…Thus, a critical issue is to investigate coherence manipulations via free operations. Many protocols of coherence manipulation have been proposed based on various physical scenarios [16,[42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58], and some have been demonstrated in the experiment [59][60][61][62].…”

Section: Introductionmentioning

confidence: 99%

No-go theorems for deterministic purification and probabilistic enhancement of coherence

Ding¹,

Liu²

2022

J. Phys. A: Math. Theor.

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The manipulation of quantum coherence is one of the principal issues in the resource theory of coherence, with two critical topics being the purification and enhancement of coherence. Here, we present two no-go theorems for the deterministic purification of coherence and the probabilistic enhancement of coherence, respectively. Specifically, we prove that a quantum state cannot be deterministically purified if it can be expressed as a convex combination of an incoherent state and a coherent state. Besides, we give an easy-to-verified sufficient and necessary condition to determine whether a state can be probabilistically enhanced via a stochastic strictly incoherent operation (sSIO). Our findings provide two feasibility criteria for the deterministic purification and the probabilistic enhancement of coherence, respectively. These results have repercussions on the understanding of quantum coherence in real quantum systems.

show abstract

Section: Introductionmentioning

confidence: 99%

No-go theorems for deterministic purification and probabilistic enhancement of coherence

Ding,

Liu

2022

Preprint

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The manipulation of quantum coherence is one of the principal issues in the resource theory of coherence, with two critical topics being the purification and enhancement of coherence. Here, we present two no-go theorems for the deterministic purification of coherence and the probabilistic enhancement of coherence, respectively. Specifically, we prove that a quantum state cannot be deterministically purified if it can be expressed as a convex combination of an incoherent state and a coherent state. Besides, we give an easy-toverified sufficient and necessary condition to determine whether a state can be probabilistically enhanced via a stochastic strictly incoherent operation (sSIO). Our findings provide two feasibility criteria for the deterministic purification and the probabilistic enhancement of coherence, respectively. These results have repercussions on the understanding of quantum coherence in real quantum systems.

show abstract

The Tightness of Multipartite Coherence from Spectrum Estimation

Cited by 7 publications

References 69 publications

The tightness of the measure-based method to estimate quantum coherence

The tightness of the measure-based method to estimate quantum coherence

No-go theorems for deterministic purification and probabilistic enhancement of coherence

No-go theorems for deterministic purification and probabilistic enhancement of coherence

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