System-Environment Correlations in Qubit Initialization and Control

Abstract

The impressive progress in fabricating and controlling superconducting devices for quantum information processing has reached a level where reliable theoretical predictions need to account for quantum correlations that are not captured by the conventional modeling of contemporary quantum computers. This applies particularly to the qubit initialization as the process which crucially limits typical operation times. Here we employ numerically exact methods to study realistic implementations of a transmon qubit embedded in electromagnetic environments focusing on the most important system-reservoir correlation effects such as the Lamb shift and entanglement. For the qubit initialization we find a fundamental trade-off between speed and accuracy which sets intrinsic constraints in the optimization of future reset protocols. Instead, the fidelities of quantum logic gates can be sufficiently accurately predicted by standard treatments. Our results can be used to accurately predict the performance of specific set-ups and also to guide future experiments in probing low-temperature properties of qubit reservoirs.

15 pages, 5 figures. Updated to published version

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Cited by in corpus (23)

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• Engineering dynamical couplings for quantum thermodynamic tasks
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• Fast control of dissipation in a superconducting resonator
• Tunable refrigerator for non-linear quantum electric circuits
• State leakage during fast decay and control of a superconducting transmon qubit
• Validity of Born-Markov master equations for single and two-qubit systems
• Photonic heat transport across a Josephson junction
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• Large Deviations and Fluctuation Theorem for the Quantum Heat Current
• Gate Operations for Superconducting Qubits and Non-Markovianity
• Quantum error correction under numerically exact open-quantum-system dynamics
• Qubit Dynamics beyond Lindblad: Non-Markovianity versus Rotating Wave Approximation
• Effects of a dissipative coupling to the momentum of a particle in a double well potential
• Impact of time-retarded noise on dynamical decoupling schemes for qubits
• Optimizing resetting of superconducting qubits
• Prethermalization of quantum systems interacting with non-equilibrium environments
• Rapid on-demand generation of thermal states in superconducting quantum circuits
• Nonlinear response theory for lossy superconducting quantum circuits
• Entanglement dynamics and performance of two-qubit gates for superconducting qubits under non-Markovian effects
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• Quantendynamik offener Systeme, Trendbericht Theoretische Chemie 2020, Teil 3
• Quadratic Models for Engineered Control of Open Quantum Systems