Reduce coherence loss in coherence-assisted transformation

Xing, Hai‐Bo; Yang, Ming

doi:10.1016/j.rinp.2020.103111

Cited by 5 publications

(4 citation statements)

References 29 publications

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“…In this part, we show that the coherence loss from a pure state to a mixed state can be partially recovered in coherence-assisted transformation. Coherence-assisted transformation [33] is the process of adding an auxiliary system to the ordinary coherence transformation. More specifically, during the state transformation for comparable main coherent states, we add auxiliary coherent states such that the whole transformation can still be realized under joint incoherent operations.…”

Section: Coherence-assisted Transformation For Qubit Statesmentioning

confidence: 99%

“…Suppose the above state transformation can be realized; it follows that the coherence of the state does not increase under incoherent operations: that is, the coherence loss in the state transformation is inevitable. For this case, Xing proposed a recovery scheme that adds an auxiliary system to the original system such that the coherence loss can be partially recovered in pure state transformations [33]. The process of adding auxiliary systems to the original system and performing a joint incoherent operation on the two systems is called coherence-assisted transformation.…”

Section: Introductionmentioning

confidence: 99%

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Partial Recovery of Coherence Loss in Coherence-Assisted Transformation

Fan,

Shan,

2023

Entropy

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Coherence-assisted transformation under incoherent operations is discussed. For transformation from the pure state to the mixed state, we show that the coherence loss can be partially recovered by adding auxiliary coherent states. First, we discuss the coherence-assisted transformation for qubit states and give the sufficient and necessary condition for the partial recovery of coherence loss, and the maximum of the recovery of coherence loss is also studied in this case. Second, the maximally coherent state can be obtained in the above recovery scheme, so we give the full characterization of obtaining the maximally coherent state in a qubit system. Finally, we show that the coherence-assisted transformation for arbitrary finite-dimensional main coherent states and low-dimensional auxiliary coherent states is always possible, and the coherence loss also can be partially recovered in these cases.

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Section: Coherence-assisted Transformation For Qubit Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Partial Recovery of Coherence Loss in Coherence-Assisted Transformation

Fan,

Shan,

2023

Entropy

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show abstract

“…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.

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Reduce coherence loss in coherence-assisted transformation

Cited by 5 publications

References 29 publications

Partial Recovery of Coherence Loss in Coherence-Assisted Transformation

Partial Recovery of Coherence Loss in Coherence-Assisted Transformation

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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