Pseudoentropy in and Timelike Entanglement Entropy

K Doi, J Harper, A Mollabashi, T Takayanagi, Y Taki - Physical Review Letters, 2023 - APS
We study holographic entanglement entropy in dS/CFT and introduce timelike entanglement
entropy in CFTs. Both of them take complex values in general and are related with each …

Decoherence, entanglement negativity, and circuit complexity for an open quantum system

A Bhattacharyya, T Hanif, SS Haque, A Paul - Physical Review D, 2023 - APS
In this paper, we compare the saturation timescales for complexity, linear entropy, and
entanglement negativity for two open quantum systems. Our first model is a coupled …

Timelike entanglement entropy

J Harper, A Mollabashi, T Takayanagi, Y Taki - Journal of High Energy …, 2023 - Springer
A bstract We define a new complex-valued measure of information called the timelike
entanglement entropy (EE) which in the boundary theory can be viewed as a Wick rotation …

A universal approach to Krylov state and operator complexities

M Alishahiha, S Banerjee - SciPost Physics, 2023 - scipost.org
We present a general framework in which both Krylov state and operator complexities can
be put on the same footing. In our formalism, the Krylov complexity is defined in terms of the …

SVD entanglement entropy

AJ Parzygnat, T Takayanagi, Y Taki, Z Wei - Journal of High Energy …, 2023 - Springer
A bstract In this paper, we introduce a new quantity called SVD entanglement entropy. This
is a generalization of entanglement entropy in that it depends on two different states, as in …

Notes on time entanglement and pseudo-entropy

K Narayan, HK Saini - The European Physical Journal C, 2024 - Springer
Abstract Following arXiv: 2210.12963 [hep-th], we investigate aspects of the time evolution
operator regarded as a density operator and associated entanglement-like structures in …

Spread complexity for measurement-induced non-unitary dynamics and Zeno effect

A Bhattacharya, RN Das, B Dey… - Journal of High Energy …, 2024 - Springer
A bstract Using spread complexity and spread entropy, we study non-unitary quantum
dynamics. For non-hermitian Hamiltonians, we extend the bi-Lanczos construction for the …

Pseudoentropy for descendant operators in two-dimensional conformal field theories

S He, J Yang, YX Zhang, ZX Zhao - Physical Review D, 2024 - APS
We study the late-time behaviors of pseudo-(Rényi) entropy of locally excited states in
rational conformal field theories. To construct the transition matrix, we utilize two …

Constructible reality condition of pseudo entropy via pseudo-Hermiticity

W Guo, S He, YX Zhang - Journal of High Energy Physics, 2023 - Springer
A bstract As a generalization of entanglement entropy, pseudo entropy is not always real.
The real-valued pseudo entropy has promising applications in holography and quantum …

Holographic complexity of Jackiw-Teitelboim gravity from Karch-Randall braneworld

A Bhattacharya, A Bhattacharyya, AK Patra - Journal of High Energy …, 2023 - Springer
A bstract Recently, it has been argued in [1] that Jackiw-Teitelboim (JT) gravity can be
naturally realized in the Karch-Randall braneworld in (2+ 1) dimensions. Using the …