Exact Master Equation and Non-Markovian Decoherence for Quantum Dot Quantum Computing

Abstract

In this article, we report the recent progress on decoherence dynamics of electrons in quantum dot quantum computing systems using the exact master equation we derived recently based on the Feynman-Vernon influence functional approach. The exact master equation is valid for general nanostructure systems coupled to multi-reservoirs with arbitrary spectral densities, temperatures and biases. We take the double quantum dot charge qubit system as a specific example, and discuss in details the decoherence dynamics of the charge qubit under coherence controls. The decoherence dynamics risen from the entanglement between the system and the environment is mainly non-Markovian. We further discuss the decoherence of the double-dot charge qubit induced by quantum point contact (QPC) measurement where the master equation is re-derived using the Keldysh non-equilibrium Green function technique due to the non-linear coupling between the charge qubit and the QPC. The non-Markovian decoherence dynamics in the measurement processes is extensively discussed as well.

15 pages, Invited article for the special issue "Quantum Decoherence and Entanglement" in Quantum Inf. Process

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• Finite-Time Disentanglement via Spontaneous Emission
• Non-Markovian effects on the dynamics of entanglement
• Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
• Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
• Charge-to-spin conversion of electron entanglement states and spin-interaction-free solid-state quantum computation
• Non-equilibrium theory of charge qubit decoherence in the quantum point contact measurement

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• Master equation approach to transient quantum transport incorporating with initial correlations
• Non-Markovian Fermionic Stochastic Schrödinger Equation for Open System Dynamics
• Exact non-Markovian master equation for a driven damped two-level system
• Transient quantum transport in double-dot Aharonov-Bohm interferometers
• Dynamically stabilized decoherence-free states in non-Markovian open fermionic systems
• Real-time dynamics of spin-dependent transport through a double-quantum-dot Aharonov-Bohm interferometer with spin-orbit interaction
• Transient probing of the symmetry and the asymmetry of electron interference
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines