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This study quantifies the computational overheads of integrating probabilistic error cancellation with Gottesman-Kitaev-Preskill coding for continuous-variable quantum systems. By analyzing single- and two-qubit operations, the research provides critical data on the trade-offs between error mitigation strategies and resource requirements for practical quantum devices. These findings are essential for evaluating the feasibility of combining correction and mitigation techniques in near-term quantum hardware.
Saarlandes Team Quantifies GKP Code Error Cancellation Overheads

Quantum computers require both error correction *and* mitigation to function reliably, yet combining these approaches has remained challenging. This work demonstrates how probabilistic error cancellation can be integrated with Gottesman-Kitaev-Preskill (GKP) coding, a technique encoding quantum information within continuous variables, to improve performance. Calculations focus on single- and two-qubit operations following a single round of correction, revealing overheads associated with Steane-type versus teleportation-based syndrome extraction circuits.
A method to enhance quantum computations by combining error correction with error mitigation techniques for continuous variable codes has been developed by teams at Jülich and Universität des Saarlandes. Their work focuses on probabilistic error cancellation alongside the Gottesman-Kitaev-Preskill code, allowing for more reliable processing of information in quantum systems despite inherent imperfections. Quantum error correction has been successfully combined with mitigation strategies for continuous variable…
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