Dissipative Dynamics of Graph-State Stabilizers with Superconducting Qubits

Area of Science:

• Quantum Information Science
• Superconducting Quantum Computing
• Quantum Dynamics

Background:

• Multipartite entangled states are crucial for quantum computation but are susceptible to noise.
• Superconducting qubits are a leading platform for building quantum processors.
• Accurate modeling of noise is essential for understanding and controlling quantum systems.

Purpose of the Study:

• To develop and validate a numerical model for the noisy evolution of multipartite entangled states in superconducting qubits.
• To investigate the impact of charge-parity fluctuations on quantum state dynamics.
• To demonstrate the effectiveness of the model in simulating large-scale quantum systems and error mitigation techniques.

Main Methods:

• Experimental study of superconducting qubit devices.
• Numerical simulations using an extended Markovian environment model.
• Analysis of coherent frequency shifts due to charge-parity fluctuations.
• Application of dynamical decoupling sequences for crosstalk mitigation.

Main Results:

• Accurate modeling of superconducting qubit dynamics requires accounting for coherent frequency shifts.
• The proposed extended Markovian environment model is numerically scalable to tens of qubits.
• Experiments and simulations show good agreement for up to 12 coupled qubits.
• Observed decays and revivals of stabilizers, relevant for quantum error correction.
• Demonstrated mitigation of two-qubit coherent interactions (crosstalk).

Conclusions:

• The developed noise model and numerical approach provide valuable insights into quantum error correction and mitigation.
• The findings advance the understanding of dissipative dynamics in large multiqubit systems.
• The study paves the way for further investigations into complex quantum dynamics and error management.