Converting Nonclassicality into Entanglement

Killoran, Nathan; Steinhoff, F. E. S.; Plenio, Martin B.

doi:10.1103/physrevlett.116.080402

Phys. Rev. Lett.

2016

DOI: 10.1103/physrevlett.116.080402

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Converting Nonclassicality into Entanglement

Nathan Killoran

¹

,

F. E. S. Steinhoff

²

,

Martin B. Plenio

³

Abstract: Quantum mechanics exhibits a wide range of non-classical features, of which entanglement in multipartite systems takes a central place. In several specific settings, it is well-known that nonclassicality (e.g., squeezing, spin-squeezing, coherence) can be converted into entanglement. In this work, we present a general framework, based on superposition, for structurally connecting and converting non-classicality to entanglement. In addition to capturing the previously known results, this framework also allows u… Show more

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Cited by 218 publications

(216 citation statements)

References 47 publications

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Mentioning

212

Contrasting

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“…This reveals a qualitative and quantitative connection between multilevel nonclassicality and multipartite entanglement, generalizing previous results in the resource theory of quantum coherence [7,12,26], and further contributing towards the formalization of nonclassicality as a resource [15,16,31,32,63]. In particular, multilevel coherence and multipartite entanglement provide significant operational advantages over the resources of standard quantum coherence and bipartite entanglement [13,54,64] and are key ingredients for practical applications such as quantum computation, quantum networks, sensing, and metrology [64][65][66][67].…”

Section: Discussionsupporting

confidence: 85%

Converting multilevel nonclassicality into genuine multipartite entanglement

Regula

¹

,

Piani

²

,

Cianciaruso

³

et al. 2018

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

“…This reveals a qualitative and quantitative connection between multilevel nonclassicality and multipartite entanglement, generalizing previous results in the resource theory of quantum coherence [7,12,26], and further contributing towards the formalization of nonclassicality as a resource [15,16,31,32,63]. In particular, multilevel coherence and multipartite entanglement provide significant operational advantages over the resources of standard quantum coherence and bipartite entanglement [13,54,64] and are key ingredients for practical applications such as quantum computation, quantum networks, sensing, and metrology [64][65][66][67].…”

Section: Discussionsupporting

confidence: 85%

Converting multilevel nonclassicality into genuine multipartite entanglement

Regula

¹

,

Piani

²

,

Cianciaruso

³

et al. 2018

Get access via publisher Add to dashboard Cite

Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

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“…We start with the following lemma showing that the number of product terms of a multipartite coherent pure state is an SLICC monotone. Note that the number of product terms has been shown by other authors to be IC monotone [11,29]. We extend this idea and show that the number of product terms is also an SLICC monotone for multipartite coherence.…”

Section: Inequivalent Classes Of Multipartite Coherence Statessupporting

confidence: 59%

Inequivalent multipartite coherence classes and two operational coherence monotones

Luo

¹

,

Li

²

,

Hsieh

³

2019

Get access via publisher Add to dashboard Cite

Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

“…Proof. That linear independence is a sufficient condition for faithful entanglement conversion has been shown by construction in [12]. We will prove here that linear independence is also a necessary condition if the free states are countable.…”

Section: Proofssupporting

confidence: 51%

“…In the next section, we define our free states and operations formally. To validate the choice of linear independent free states, we prove that linear independence is a necessary and sufficient ingredient for the faithful creation of entanglement, completing earlier results from [12]. Then we characterize the free operations us-ing the concept of reciprocal states known from unambiguous state discrimination [24,25].…”

mentioning

confidence: 66%

Resource Theory of Superposition

Theurer

¹

,

Killoran

²

,

Egloff

³

et al. 2017

Self Cite

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Exaggerated anticipatory anxiety is common in social anxiety disorder (SAD). Neuroimaging studies have revealed altered neural activity in response to social stimuli in SAD, but fewer studies have examined neural activity during anticipation of feared social stimuli in SAD. The current study examined the time course and magnitude of activity in threat processing brain regions during speech anticipation in socially anxious individuals and healthy controls (HC). Method Participants (SAD n = 58; HC n = 16) underwent functional magnetic resonance imaging (fMRI) during which they completed a 90s control anticipation task and 90s speech anticipation task.

show abstract

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