Physics – Quantum Physics
Scientific paper
2005-07-22
Phys. Rev. A 73, 013403 (2006)
Physics
Quantum Physics
10 pages, 3 figures
Scientific paper
10.1103/PhysRevA.73.013403
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.
Sun Chang-Pu
Xue Fei
Yu S. X.
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