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Entanglement Growth and Minimal Membranes in (d+1) Random Unitary Circuits
Piotr Sierant1, Marco Schirò2, Maciej Lewenstein1
1ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, Av. Carl Friedrich Gauss 3, 08860 Castelldefels (Barcelona), Spain.
Entanglement growth in quantum physics was studied using random unitary circuits. Researchers found entanglement entropy growth in qubit lattices mirrors the roughening of membranes in elastic media.
Area of Science:
- Quantum physics
- Many-body systems
- Quantum information
Background:
- Entanglement growth is a fundamental question in quantum physics.
- Understanding entanglement dynamics is crucial for quantum information science.
Purpose of the Study:
- To characterize entanglement fluctuations and distribution in a (d+1)-dimensional qubit lattice.
- To investigate entanglement growth under random unitary circuits, specifically using Clifford gates.
Main Methods:
- Extensive numerical simulations of random circuits.
- Analysis of (d+1)-dimensional qubit lattices with 1≤d≤4 dimensions.
- Focus on Clifford gates for circuit evolution.
Main Results:
- Entanglement entropy growth in these systems follows specific patterns.
- The growth properties are linked to roughening exponents.
- A connection was found between bipartite entanglement entropy and the d-dimensional membrane roughening in a (d+1)-dimensional elastic medium.
Conclusions:
- The study provides a novel characterization of entanglement growth in many-body systems.
- Findings suggest a deep connection between quantum entanglement and statistical mechanics of membranes.
- This work offers insights into the fundamental nature of quantum entanglement dynamics.
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