Engineering entanglement geometry via spacetime-modulated measurements
- URL: http://arxiv.org/abs/2307.15689v1
- Date: Fri, 28 Jul 2023 17:27:41 GMT
- Title: Engineering entanglement geometry via spacetime-modulated measurements
- Authors: Aditya Cowsik, Matteo Ippoliti, Xiao-Liang Qi
- Abstract summary: We introduce a general approach to realize quantum states with holographic entanglement structure via monitored dynamics.
We demonstrate our approach by giving concrete protocols for two geometries of interest in two dimensions.
Our results provide a concrete platform for realizing geometric entanglement structures on near-term quantum simulators.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce a general approach to realize quantum states with holographic
entanglement structure via monitored dynamics. Starting from random unitary
circuits in $1+1$ dimensions, we introduce measurements with a
spatiotemporally-modulated density. Exploiting the known critical properties of
the measurement-induced entanglement transition, this allows us to engineer
arbitrary geometries for the bulk space (with a fixed topology). These
geometries in turn control the entanglement structure of the boundary (output)
state. We demonstrate our approach by giving concrete protocols for two
geometries of interest in two dimensions: the hyperbolic half-plane and a
spatial section of the BTZ black hole. We numerically verify signatures of the
underlying entanglement geometry, including a direct imaging of entanglement
wedges by using locally-entangled reference qubits. Our results provide a
concrete platform for realizing geometric entanglement structures on near-term
quantum simulators.
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