Phase Transition Dynamics of Quantum Information

Robert J. Lewis-Swan, Arghavan Safavi-Naini, A. M. Kaufman +1 more

J.-Z. Zhuang, Yadong Wu, Luming Duan

We study how the information flows in many-body dynamics governed by random quantum circuits and discover a rich set of dynamical phase transitions in this information flow.The phase-transition points and their critical exponents are established across Clifford and Haar random circuits through finite-size scaling.The flow of both classical and quantum information, measured respectively by Holevo and coherent information, shows similar dynamical phase transition behaviors.We investigate how the phase transitions depend on the initial location of the information and the final probe region, and find ubiquitous behaviors in these transitions, revealing interesting properties about the information propagation and scrambling in this quantum many-body model.Our paper underscores rich behaviors of the information flow in large systems with numerous phase transitions, thereby sheds light on the understanding of quantum many-body dynamics.

Sebastian Deffner, Steve Campbell

Ronen Vosk, David A. Huse, Ehud Altman

The dynamical behavior of quantum systems is relevant to quantum information processing. A new theoretical model describes a phase transition from many-body localized states, in which quantum information is accessible, to thermal states, in which such information is lost in the dynamics.

Dirk Bouwmeester, ARTUR K. EKERT, Anton Zeilinger

Jincheng Zhang

Quantum information is notoriously vulnerable to decoherence, a phenomenon arising from interactions with the environment. This vulnerability necessitates robust strategies for preserving quantum states. This paper explores a novel approach to quantum state preservation – Adaptive Quantum State Preservation through Dynamic Phase Transitions – that leverages the inherent dynamism of quantum systems to proactively mitigate decoherence. We propose a mechanism for continuous monitoring of a quantum state and triggered phase transitions based on predefined conditions, effectively acting as a dynamic stabilizer. The core mechanism is detailed, and its potential for protecting quantum information from decoherence is investigated through theoretical analysis and preliminary simulations. The paper concludes with a discussion of future research directions and potential applications.