Dissipative Dynamics of Graph-State Stabilizers with Superconducting
Qubits
- URL: http://arxiv.org/abs/2308.01860v2
- Date: Thu, 4 Jan 2024 14:54:04 GMT
- Title: Dissipative Dynamics of Graph-State Stabilizers with Superconducting
Qubits
- Authors: Liran Shirizly, Gr\'egoire Misguich and Haggai Landa
- Abstract summary: We study the noisy evolution of multipartite entangled states, focusing on superconducting-qubit devices accessible via the cloud.
We introduce an approach modeling the charge-parity splitting using an extended Markovian environment.
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.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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