Tracking the quantized information transfer at the edge of a chiral Floquet phase

Abstract

Two-dimensional arrays of periodically driven qubits can host inherently dynamical topological phases with anomalous chiral edge dynamics. These chiral Floquet phases are formally characterized by a dynamical topological invariant, the chiral unitary index. Introducing a quantity called the chiral mutual information, we show that this invariant can be precisely interpreted in terms of a quantized chiral transfer of quantum information along the edge of the system, and devise a physical setup to measure it.

arXiv comment4+2pages, 4 figures

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• Quantum Circuits assisted by LOCC: Transformations and Phases of Matter
• Bounds in Nonequilibrium Quantum Dynamics
• Topological lower bound on quantum chaos by entanglement growth
• Classification of interacting Floquet phases with $U(1)$ symmetry in two dimensions
• A converse to Lieb-Robinson bounds in one dimension using index theory
• Quantifying information scrambling via Classical Shadow Tomography on Programmable Quantum Simulators
• Quantized Floquet topology with temporal noise
• Coarse-grained Entanglement and Operator Growth in Anomalous Dynamics
• Information Flow in Non-Unitary Quantum Cellular Automata
• Frobenius light cone and the shift unitary