A hybrid Lindblad-master-equation noise model with 10 parameters per qubit and 3 per pair predicts RB, dynamical-decoupling, and H2 VQE dynamics on IBM transmon hardware, reaching 0.5% relative energy error at the optimal bond length.
Protecting logical qubits with dynamical decoupling
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abstract
Demonstrating that logical qubits outperform their physical counterparts is a milestone for achieving reliable quantum computation. Here, we propose to protect logical qubits with a novel dynamical decoupling scheme that implements iSWAP gates on nearest-neighbor physical qubits, and experimentally demonstrate the scheme on superconducting transmon qubits. In our scheme, each logical qubit only requires two physical qubits. A universal set of quantum gates on the logical qubits can be achieved such that each logical gate comprises only one or two physical gates. Our experiments reveal that the coherence time of a logical qubit is extended by up to 366% when compared to the better-performing physical qubit. Moreover, to the best of our knowledge, we demonstrate for the first time that multiple logical qubits outperform their physical counterparts in superconducting qubits. We illustrate a set of universal gates through a logical Ramsey experiment and the creation of a logical Bell state. Given its scalable nature, our scheme holds promise as a component for future reliable quantum computation.
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Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
A hybrid Lindblad-master-equation noise model with 10 parameters per qubit and 3 per pair predicts RB, dynamical-decoupling, and H2 VQE dynamics on IBM transmon hardware, reaching 0.5% relative energy error at the optimal bond length.