Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits

Understand

Understanding how errors deteriorate the information encoded in a many-body quantum system is a fundamental problem with practical implications for quantum technologies.

• Here, we investigate a class of encoding-decoding random circuits subject to local coherent and incoherent errors.
• We analytically demonstrate the existence of a phase transition from an error-protecting phase to an error-vulnerable phase occurring when the error strength is increased.
• This transition is accompanied by R\'enyi entropy transitions and by onset of multifractal features in the system.