Dissipative Dynamics of Graph-State Stabilizers with Superconducting Qubits

Abstract

We study experimentally and numerically the noisy evolution of multipartite entangled states, focusing on superconducting-qubit devices accessible via the cloud. We find that a valid modeling of the dynamics requires one to properly account for coherent frequency shifts, caused by stochastic charge-parity fluctuations. We introduce an approach modeling the charge-parity splitting using an extended Markovian environment. This approach is numerically scalable to tens of qubits, allowing us to simulate efficiently the dissipative dynamics of some large multiqubit states. Probing the continuous-time dynamics of increasingly larger and more complex initial states with up to 12 coupled qubits in a ring-graph state, we obtain a good agreement of the experiments and simulations. We show that the underlying many-body dynamics generate decays and revivals of stabilizers, which are used extensively in the context of quantum error correction. Furthermore, we demonstrate the mitigation of two-qubit coherent interactions (crosstalk) using tailored dynamical decoupling sequences. Our noise model and the numerical approach can be valuable to advance the understanding of error correction and mitigation and invite further investigations of their dynamics.

arXiv comment19 pages, 17 figures. Published version

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• Modeling error correction with Lindblad dynamics and approximate channels
• Demonstration of Algorithmic Quantum Speedup for an Abelian Hidden Subgroup Problem
• Empirical learning of dynamical decoupling on quantum processors
• Efficient Chromatic-Number-Based Multi-Qubit Decoherence and Crosstalk Suppression
• Randomized Benchmarking Protocol for Dynamic Circuits
• Real-time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm For Noisy Quantum Circuit Simulations
• Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Basic entanglement distillation with realistic noise