Quantum control limited by quantum decoherence

Abstract

We describe quantum controllability under the influences of the quantum decoherence induced by the quantum control itself. It is shown that, when the controller is considered as a quantum system, it will entangle with its controlled system and then cause quantum decoherence in the controlled system. In competition with this induced decoherence, the controllability will be limited by some uncertainty relation in a well-armed quantum control process. In association with the phase uncertainty and the standard quantum limit, a general model is studied to demonstrate the possibility of realizing a decoherence-free quantum control with a finite energy within a finite time. It is also shown that if the operations of quantum control are to be determined by the initial state of the controller, then due to the decoherence which results from the quantum control itself, there exists a low bound for quantum controllability.

10 pages, 3 figures

References in corpus (8)

• Elementary gates for quantum computation
• Ultimate physical limits to computation
• Overhead and noise threshold of fault-tolerant quantum error correction
• Quantum Dynamical Model for Wave Function Reduction in Classical and Macroscopic Limits
• Conservative Quantum Computing
• Quantum Dynamical Approach of Wavefunction Collapse in Measurement Process and Its Application to Quantum Zeno Effect
• An quantum approach of measurement based on the Zurek's triple model
• Robust control in the quantum domain

Cited by in corpus (8)

• Driving Quantum System into Decoherence-free Subspaces by Lyapunov Control
• Decoherence Control in Open Quantum System via Classical Feedback
• Gate fidelity of arbitrary single-qubit gates constrained by conservation laws
• Indirect control with quantum accessor (I): coherent control of multi-level system via qubit chain
• Approximation of Reachable Set for Coherently Controlled Open Quantum Systems: Application to Quantum State Engineering
• Electromagnetic manipulation for anti-Zeno effect in an engineered quantum tunneling process
• On the Capability of Measurement-Based Quantum Feedback
• Set Stabilizability of Quantum Systems