Lieb-Robinson Correlation in Disordered Ising Chains
Analysis
This paper investigates the propagation of quantum information in disordered transverse-field Ising chains using the Lieb-Robinson correlation function. The authors develop a method to directly calculate this function, overcoming the limitations of exponential state space growth. This allows them to study systems with hundreds of qubits and observe how disorder localizes quantum correlations, effectively halting information propagation. The work is significant because it provides a computational tool to understand quantum information dynamics in complex, disordered systems.
Key Takeaways
- •Presents a method for directly calculating the Lieb-Robinson correlation function in Ising chains.
- •The method scales linearly with system size, enabling analysis of large qubit systems.
- •Demonstrates that disorder localizes quantum correlations and hinders information propagation.
“Increasing disorder causes localization of the quantum correlations and halts propagation of quantum information.”