Entanglement wedge reconstruction and correlation measures in mixed
states: modular flows versus quantum recovery channels
- URL: http://arxiv.org/abs/2012.04386v3
- Date: Mon, 14 Jun 2021 15:49:22 GMT
- Title: Entanglement wedge reconstruction and correlation measures in mixed
states: modular flows versus quantum recovery channels
- Authors: Mahdis Ghodrati
- Abstract summary: We study the nature of correlations among mixed states in the setup of two symmetric strips.
We use various tools to determine how the bulk geometry could be reconstructed from the boundary mixed information.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this work we study the nature of correlations among mixed states in the
setup of two symmetric strips. We use various tools to determine how the bulk
geometry could be reconstructed from the boundary mixed information. These
tools would be the modular Hamiltonian and modular flow, OPE blocks, quantum
recovery channels such as Petz map, Uhlmann holonomy and Wilson lines. We
comment on the similarities and connections between these approaches in our
symmetric setup of a mixed system. Specially, we use parameters such as
dissipation which is being modeled by the mass of graviton, and also the same
sign charge of the two strips to find connections between these different
approaches. Then, using Uhlmann fidelity as the correlation measure, we look
into the various types of correlations in mixed systems such as discord. Next,
we use simple results of modular Hamiltonian for fermions to get insights about
the relations between modular flow and entanglement and complexity of
purification (EoP/CoP), and also behavior of modular flows in confining
geometries. Finally, we study the dynamics of correlations using various
information speeds and also model of void formation in CFTs and again we
comment on their relationships with the behavior of EoP and CoP.
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