We present a general post-quantum error-correcting technique for quantum annealing, called multi-qubit correction (MQC), that views the evolution in an open-system as a Gibs sampler and reduces a set of (first) excited states to a new synthetic state with lower energy value. After sampling from the ground state of a given (Ising) Hamiltonian, MQC compares pairs of excited states to recognize virtual tunnels -- i.e., a group of qubits that changing their states simultaneously can result in a new state with lower energy -- and successively converges to the ground state. Experimental results using D-Wave 2000Q quantum annealers demonstrate that MQC finds samples with notably lower energy values and also improves the reproducibility of results, compared to recent hardware/software advances in the realm of quantum annealing such as reverse quantum annealing, increased inter-sample delay, and classical pre/post-processing methods.

中文翻译：

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量子退火器的后量子误差校正

我们提出了一种用于量子退火的通用后量子纠错技术，称为多量子位校正 (MQC)，它将开放系统中的演化视为 Gibs 采样器，并将一组（第一）激发态减少到一个新的具有较低能量值的合成状态。从给定 (Ising) 哈密顿量的基态采样后，MQC 比较激发态对以识别虚拟隧道——即，一组同时改变其状态的量子位可以导致具有较低能量的新状态——并依次收敛到基态。使用 D-Wave 2000Q 量子退火器的实验结果表明，MQC 可以找到能量值明显较低的样品，并且还提高了结果的重现性，