Quantum information scrambling in non-Markovian open quantum systems

Li-ping, Han; Zou, Jian; Li, Hai; Shao, Bin

doi:10.48550/arxiv.2205.03979

2022

DOI: 10.48550/arxiv.2205.03979

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Quantum information scrambling in non-Markovian open quantum systems

Han Li-ping¹,

Jian Zou²,

Hai Li³

et al.

Abstract: In this paper we investigate the dynamics of a spin chain whose two end spins interact with two independent non-Markovian baths by using the non-Markovian quantum state diffusion (QSD) equation approach. Specifically two issues about quantum information scrambling in open quantum system are addressed. The first issue is that tripartite mutual information (TMI) can quantify information scrambling properly via its negative value in closed system, whether it is still suitable to indicate quantum scrambling in ope… Show more

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“…). Finally, for the last two operations from t 3 → t 4 and t 4 → t 5 , we have (62) where again we see that any revival of the entanglement monotone with 4 E α (ρ R|CQ ) 0 and 5 E α (ρ R|CQ ) 0 must correspond to a decrease in the entanglement with the environments E A or E B , and a decrease in the multipartite residual entanglement. If we consider the Markovian case of U N = SWAP, we have…”

Section: A Non-markovianity In the Quantum Switchmentioning

confidence: 67%

“…If U N = I ⊗ I, where I is the identity operation, we obtain the non-Markovian case where both U 1 and U 2 act on the same environment E . The operation of U N can be thought of as some kind of information scrambling in the environment, possibly characterized by an out-of-time ordered correlator to describe the spreading of information from E to N [62]. For example, U N might be time dependent such that in very short timescales we have U N ≈ I ⊗ I, but for a long time interval it approaches U N ≈ SWAP, as the environment equilibrates over time [63].…”

Section: B Environmental Representationmentioning

confidence: 99%

See 1 more Smart Citation

Communication advantage of quantum compositions of channels from non-Markovianity

Cheong

¹

,

Pradana

²

,

Chew

³

2022

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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.

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“…). Finally, for the last two operations from t 3 → t 4 and t 4 → t 5 , we have (62) where again we see that any revival of the entanglement monotone with 4 E α (ρ R|CQ ) 0 and 5 E α (ρ R|CQ ) 0 must correspond to a decrease in the entanglement with the environments E A or E B , and a decrease in the multipartite residual entanglement. If we consider the Markovian case of U N = SWAP, we have…”

Section: A Non-markovianity In the Quantum Switchmentioning

confidence: 67%

“…If U N = I ⊗ I, where I is the identity operation, we obtain the non-Markovian case where both U 1 and U 2 act on the same environment E . The operation of U N can be thought of as some kind of information scrambling in the environment, possibly characterized by an out-of-time ordered correlator to describe the spreading of information from E to N [62]. For example, U N might be time dependent such that in very short timescales we have U N ≈ I ⊗ I, but for a long time interval it approaches U N ≈ SWAP, as the environment equilibrates over time [63].…”

Section: B Environmental Representationmentioning

confidence: 99%

Communication advantage of quantum compositions of channels from non-Markovianity

Cheong

¹

,

Pradana

²

,

Chew

³

2022

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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