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Published on: August 22, 2017
Full control by locally induced relaxation.
Daniel Burgarth1, Vittorio Giovannetti
1Computer Science Department, ETH Zürich, CH-8092 Zürich, Switzerland.
We show how to control large quantum systems by manipulating only a small part. This method enables transferring unknown quantum states into and out of the large system with high fidelity.
Area of Science:
- Quantum Information Science
- Quantum Control
- Quantum Systems Engineering
Background:
- Controlling large quantum systems is challenging due to scalability issues.
- Local operations on subsystems are often preferred for practical quantum control.
Purpose of the Study:
- To develop a scheme for controlling large quantum systems via local operations on a small subsystem.
- To enable arbitrary quantum state transfer (upload and download) between a memory and a large quantum system.
Main Methods:
- Utilizing a fixed coupling Hamiltonian to mediate local control to the larger system.
- Analyzing the conditions on the coupling Hamiltonian for successful state transfer.
- Deriving lower bounds for the fidelity of quantum state uploading and downloading.
Main Results:
- Demonstration of a scheme for local control of large quantum systems.
- Establishment of sufficient conditions for the coupling Hamiltonian.
- Quantification of lower bounds on state transfer fidelities.
Conclusions:
- Local control is a viable strategy for managing complex quantum systems.
- The proposed scheme facilitates efficient quantum state management in large systems.
- Understanding coupling Hamiltonian properties is crucial for optimizing quantum state transfer.

