Entangled Quantum Error-Correction

Ivan B. Djordjević

Gabriele De Chiara, Rosario Fazio, Chiara Macchiavello +1 more

The effects of quantum error correction (QEC) on the dynamics of entanglement between logical qubits in the presence of a dephasing interaction with a correlated environment is investigated. Such a correlated reservoir introduces entanglement between physical qubits which, for short times, is interpreted as error and suppressed by the QEC routine. However for longer times, although QEC is no longer able to correct errors, it enhances the rate of entanglement production due to the interaction with the environment.

Jincheng Zhang

Quantum topological systems offer a promising platform for quantum computation and communication due to their inherent robustness against local perturbations. However, implementing robust quantum error correction (QEC) on these systems remains a significant challenge. This paper investigates a novel quantum topological correction protocol, leveraging the unique properties of entangled quantum states to achieve high-precision and low-latency error correction within complex topological structures. We propose a quantum topology correction algorithm based on instantaneous information transfer facilitated by entanglement, designed to circumvent limitations imposed by classical error correction techniques. This work demonstrates the potential of this approach to surpass the current state-of-the-art in QEC, particularly for systems exhibiting non-linear topological phases.

Tohya Hiroshima, Masahito Hayashi

Masataka Ohta

Jincheng Zhang

This paper investigates a novel approach to dynamic quantum error correction (QEC) optimization, shifting the focus from solely relying on the structure of error-correcting codes to actively harnessing quantum entanglement generated during the coding process. The core claim is that the inherent entanglement between code-syndrome qubits can be leveraged to achieve dynamic performance improvements. The proposed mechanism involves real-time monitoring of entanglement strength between code-syndrome qubits and utilizing quantum operations to enhance specific entanglement links, thereby boosting error correction efficiency. This approach represents a fundamental departure from traditional static QEC design, offering the potential for adaptive and optimized error correction in quantum computing scenarios. Mathematical formulations and theoretical analysis are presented to support this dynamic entanglement-based optimization strategy. The key parameters influencing the optimization process are identified and quantified. The paper concludes with a discussion of potential challenges and future research directions.