DOI： 10.48550/arXiv.2506.02131

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出版者・発行元：arXiv  

We show that no EPR-like bipartite entanglement can be distilled from a tripartite Haar random state $|Ψ\rangle_{ABC}$ by local unitary rotations when each subsystem has fewer than half of the total qubits. Specifically, we derive an upper bound on the probability of sampling a state with EPR-like entanglement for a given EPR fidelity tolerance, showing a doubly-exponential suppression in the number of qubits. Our proof relies on a simple volume argument supplemented by an $ε$-net construction. We also discuss a physical interpretation in the AdS/CFT correspondence, indicating that a connected entanglement wedge does not necessarily imply bipartite entanglement as opposed to a previous belief.

DOI： 10.48550/arXiv.2502.04437

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掲載種別：研究論文（学術雑誌）   出版者・発行元：arXiv  

In the AdS/CFT correspondence, direct scattering in the bulk may not have a local boundary analog. A nonlocal implementation on the boundary requires $O(1/G_N)$ mutual information. This statement is formalized by the connected wedge theorem, which can be proven using general relativity within AdS$_3$ but also by applying quantum information theory on the boundary, suggesting that the theorem applies to any holographic duality. We examine scattering within the static patch of asymptotically dS$_3$ spacetime, which is conjectured to be described by a quantum theory on the stretched horizon in static patch holography. We prove that causality on the horizon should be induced from null infinities $\mathcal{I}^{\pm}$ to maintain consistency with the theorem. Specifically, signals propagating in the static patch are associated with local operators at $\mathcal{I}^{\pm}$. Our results suggest a novel connection between static patch holography and the dS/CFT correspondence.

DOI： 10.1007/JHEP12(2024)199

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記述言語：英語   掲載種別：研究論文（学術雑誌）  

Holography with branes and/or cutoff surfaces presents a promising approach
to studying quantum gravity beyond asymptotically anti-de Sitter spacetimes.
However, this generalized holography is known to face several inconsistencies,
including potential violations of causality and fundamental entropic
inequalities. In this work, we address these challenges by investigating the
bulk scattering process and its holographic realization. Specifically, we
propose that the information on a brane/cutoff surface $Q$ propagates according
to the induced light cones originating from a fictitious asymptotic boundary
behind $Q$, rather than the conventional ones originating from a point on $Q$.
Additionally, we establish the validity of the connected wedge theorem for
generalized holography with induced light cones. We also demonstrate that
entropic inequalities remain valid within the induced causal diamonds. While
the induced light cone seemingly permits superluminal signaling, we argue that
this causality violation can be an artifact of state preparation for radially
propagating excitations, rather than local operator excitations on $Q$.

DOI： 10.1007/jhep10(2023)104

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その他リンク： http://arxiv.org/pdf/2308.00739v1

記述言語：英語   掲載種別：学位論文（博士）   出版者・発行元：arXiv  

The aim of this dissertation is to clarify the structure of entanglement, a
type of quantum correlations, in various quantum systems with a large number of
degrees of freedom for holography between generic quantum systems and
spacetimes toward a quantum description of our universe. Previous examinations
of entanglement and holography have focused on specific classes of quantum
systems due to the lack of computational techniques in field theory and the
inherent limitation of holography. This dissertation informs various methods
and formalisms to overcome these difficulties by extending the target quantum
systems with mass and interactions, boundaries, and geometric variational
ansatze. These approaches provide insights into the generalization of
holography from the bottom up. This dissertation initiates a comprehensive
study beyond conventional holography by establishing new techniques in quantum
field theory, holography, and tensor networks. Focusing on entanglement
entropy, we found it is generally expressed in terms of renormalized two-point
correlators of both fundamental and composite operators. Beyond entanglement
entropy, we found the operational meaning of the entanglement structure in
generic tensor networks. Furthermore, we established a correct prescription for
the AdS/BCFT correspondence with a local operator quench.

DOI： 10.48550/ARXIV.2308.09758

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その他リンク： http://arxiv.org/pdf/2308.09758v1

掲載種別：研究論文（学術雑誌）   出版者・発行元：arXiv  

We propose that a minimal bond cut surface is characterized by entanglement distillation in tensor networks. Our proposal is not only consistent with the holographic models of perfect or tree tensor networks, but also can be applied for several different classes of tensor networks including matrix product states and multi-scale entanglement renormalization ansatz. We confirmed our proposal by a numerical simulation based on the random tensor network. The result sheds new light on a deeper understanding of the Ryu-Takayanagi formula for entanglement entropy in holography.

DOI： 10.1103/PhysRevD.106.086008

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掲載種別：研究論文（学術雑誌）  

DOI： 10.1007/JHEP05(2022)060

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掲載種別：研究論文（学術雑誌）   出版者・発行元：{MDPI} {AG}  

DOI： 10.3390/sym13071221

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記述言語：英語   掲載種別：研究論文（学術雑誌）   出版者・発行元：American Physical Society ({APS})  

DOI： 10.1103/physrevd.103.125019

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掲載種別：研究論文（学術雑誌）   出版者・発行元：American Physical Society ({APS})  

DOI： 10.1103/PhysRevD.103.105010

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掲載種別：研究論文（学術雑誌）  

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