Deriving the PEE proposal from the Locking bit thread configuration

Lin, Yi-Yu; Sun, Jia-Rui; Zhang, Jun

doi:10.48550/arxiv.2105.09176

Cited by 3 publications

(21 citation statements)

References 60 publications

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“…In this section, we will apply the locking bit thread configuration developed in [14][15][16] to describe the details of the entanglement structure in the AdS/BCFT setup involving island. The analysis will lead to a better understanding of the reason why the region in Q brane selected by the disconnected RT surface is called an "island".…”

Section: The Bit Thread Description Of Ads/bcft Setupmentioning

confidence: 99%

“…In the latter formulation, however, we can trace the trajectories of the bit threads, especially their endpoints, and obtain more clear information about the entanglement structure, which is in fact related to the partial entanglement entropies. This idea is realized in the recently developed locking bit thread scheme [14][15][16]. It has been proposed in [14] that the so-called locking bit thread configurations can be used to characterize the PEE structure between several subregions in a multipartite holographic system.…”

Section: The Bit Thread Description Of Ads/bcft Setupmentioning

confidence: 99%

“…in studying the entanglement structures in condensed matter theory [17,18,43,44]. Moreover, they have enlightening significance in the holographic framework [14,19,41,42]. However, so far the fundamental definition of the PEE based on the reduced density matrix has not been established.…”

mentioning

confidence: 99%

“…[18,19] proposed a PEE proposal, which claims that the PEE can be obtained by an additive linear combination of subset entanglement entropies. 2 Recently, [14] further developed the preliminary discussion of the relationship between entanglement contour and bit threads [20][21][22] in [18], and showed that, in the holographic framework, the PEE proposal can be naturally derived using the language of bit threads. More specifically, the PEE is explicitly identified as the flux of the component f low in a locking bit thread configuration [15,16].…”

mentioning

confidence: 99%

“…In this paper, we will show that, using the method of calculating PEE from the viewpoint of holographic bit thread developed in [14], it is natural to study the PEE aspects in the AdS/BCFT setup. Based on the holographic triality of AdS/BCFT setup mentioned above, in a sense we are equivalently studying the PEE aspects of the double holographic model or the more general "brane gravity + CFT" models.…”

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confidence: 99%

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The PEE aspects of entanglement islands from bit threads

Lin,

Sun,

Sun

et al. 2022

Preprint

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We study the partial entanglement entropy (PEE) aspects of the holographic BCFT setup with an entanglement island, inspired by the holographic triality of the AdS/BCFT setup developed in the recent study on the black hole information problem, and the "PEE=CFF (component flow flux)" prescription, which is proposed recently to investigate the holographic PEE in the framework of bit thread formulation. Our study provides a bit thread description of the AdS/BCFT setup, which characterizes the specific entanglement details between the different parts of the system with an entanglement island, and may provide further insight into the black hole information problem. Furthermore, we show that in the context of island, one should distinguish between the fine-grained PEE and the semi-classical PEE. Interestingly, similar to the island rule of the fine-grained entropy in the semi-classical picture, we also propose the island rules of the fine-grained PEE.

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Section: The Bit Thread Description Of Ads/bcft Setupmentioning

confidence: 99%

Section: The Bit Thread Description Of Ads/bcft Setupmentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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The PEE aspects of entanglement islands from bit threads

Lin,

Sun,

Sun

et al. 2022

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Note on surface growth approach for bulk reconstruction *

Lin

Sun

et al. 2022

Chinese Phys. C

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In the present paper, we show by several examples that the bulk geometry of asymptotically AdS$_3$ spacetimes can be effectively reconstructed in an intuitive and visual way called the surface growth scheme. This new approach for bulk reconstruction was originally proposed in a recent paper, along with its explicit realization by using the one-shot entanglement distillation tensor network and the surface/state correspondence. In this paper, we give a direct analysis of the growth of the bulk minimal surfaces in order to implement this scheme. Our study provides further support for the surface growth approach in the entanglement wedge reconstruction. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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Thread/State correspondence: from bit threads to qubit threads

Lin¹,

Jin²

2022

Preprint

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Starting from an interesting coincidence between the bit threads and SS (surface/state) correspondence, both of which are closely related to the holographic RT formula, we introduce a property of bit threads that has not been explicitly proposed before, which can be referred to as thread/state correspondence (see [50] for a brief pre-release version). Using this thread/state correspondence, we can construct the explicit expressions for the SS states corresponding to a set of bulk extremal surfaces in the SS correspondence, and nicely characterize their entanglement structure. Based on this understanding, we use the locking bit thread configurations to construct a holographic qubit threads model as a new toy model of the holographic principle, and show that it is closely related to the holographic tensor networks, the kinematic space, and the connectivity of spacetime.

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Deriving the PEE proposal from the Locking bit thread configuration

Cited by 3 publications

References 60 publications

The PEE aspects of entanglement islands from bit threads

The PEE aspects of entanglement islands from bit threads

Note on surface growth approach for bulk reconstruction *

Thread/State correspondence: from bit threads to qubit threads

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