Smoking-gun signatures of non-Markovianity of a superconducting qubit

Abstract

We describe temporally correlated noise processes that influence the idle evolution of a superconducting transmon qubit. To model the composite qubit-environment system we use quantum circuit theory, and we show how a circuit Hamiltonian can be derived for transverse noise affecting the qubit. Based on the time-convolutionless projection operator method, we construct a time-local master equation which, when transformed to its canonical Lindblad form, exhbitis a decay rate that is negative at all times, corresponding to eternally non-Markovian dynamics. By expressing the solution of the master equation in the Kraus representation, we identify two crucial non-Markovian phenomena: periodic revivals of coherence, and the appearance of additional frequencies far from the qubit frequency in the precession of the qubit state. When a single qubit gate acts on the qubit state, these extra frequency terms rotate undesirably and they effectively act as the memory of the state prior to the rotation around the Bloch sphere.

10 pages, 5 figures

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Cited by in corpus (16)

• Characterizing non-Markovian Off-Resonant Errors in Quantum Gates
• Gate Operations for Superconducting Qubits and Non-Markovianity
• Qubit Dynamics beyond Lindblad: Non-Markovianity versus Rotating Wave Approximation
• Temporally correlated quantum noise in driven quantum systems
• Impact of time-retarded noise on dynamical decoupling schemes for qubits
• Understanding and utilizing the inner bonds of process tensors
• Accurate and Honest Approximation of Correlated Qubit Noise
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Time-Convolutionless Master Equation Applied to Adiabatic Elimination
• Universal dissipators for driven open quantum systems and the correction to linear response
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Non-Gaussian Phase Transition and Cascade of Instabilities in the Dissipative Quantum Rabi Model
• Entanglement dynamics and performance of two-qubit gates for superconducting qubits under non-Markovian effects
• Solving Helmholtz problems with finite elements on a quantum annealer
• Robust Tripartite Entanglement Generation via Correlated Noise in Spin Qubits
• From Superradiance to Superabsorption: An Exact Treatment of Non-Markovian Cooperative Radiation