Equivalent qubit dynamics under classical and quantum noise

Abstract

We study the dynamics of quantum systems under classical and quantum noise, focusing on decoherence in qubit systems. Classical noise is described by a random process leading to a stochastic temporal evolution of a closed quantum system, whereas quantum noise originates from the coupling of the microscopic quantum system to its macroscopic environment. We derive deterministic master equations describing the average evolution of the quantum system under classical continuous-time Markovian noise and two sets of master equations under quantum noise. Strikingly, these three equations of motion are shown to be equivalent in the case of classical random telegraph noise and proper quantum environments. Hence fully quantum-mechanical models within the Born approximation can be mapped to a quantum system under classical noise. Furthermore, we apply the derived equations together with pulse optimization techniques to achieve high-fidelity one-qubit operations under random telegraph noise, and hence fight decoherence in these systems of great practical interest.

5 pages, 2 figures; converted to PRA format, added Fig. 2, corrected typos

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• Cooperative pulses in robust quantum control: Application to broadband Ramsey-type pulse sequence elements
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• Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments
• Suppression of Decoherence and Disentanglement by the Exchange Interaction
• Quantum regression theorem for non-Markovian Lindblad equations
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Optimal control of the silicon-based donor electron spin quantum computing
• Telegraph noise effects on two charge-qubits in double quantum dots
• Effect of Poisson noise on adiabatic quantum control
• Modelling the effect of charge noise on the exchange interaction between spins