Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits
- URL: http://arxiv.org/abs/2308.06321v2
- Date: Thu, 21 Dec 2023 10:10:32 GMT
- Title: Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits
- Authors: Xhek Turkeshi, Piotr Sierant
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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. Our results provide a new perspective on
storing and processing quantum information, while the introduced framework
enables an analytic understanding of a dynamical critical phenomenon in a
many-body system.
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