Provably Time-Optimal Cooling of Markovian Quantum Systems

• URL: http://arxiv.org/abs/2403.05285v1
• Date: Fri, 8 Mar 2024 13:07:33 GMT
• Title: Provably Time-Optimal Cooling of Markovian Quantum Systems
• Authors: Emanuel Malvetti
• Abstract summary: We address the problem of cooling a Markovian quantum system to a pure state in the shortest amount of time possible. We derive explicit provably time-optimal cooling protocols for rank one qubit systems, inverted $Lambda$-systems on a qutrit, and a certain system consisting of two coupled qubits.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We address the problem of cooling a Markovian quantum system to a pure state in the shortest amount of time possible. Here the system drift takes the form of a Lindblad master equation and we assume fast unitary control. This setting allows for a natural reduction of the control system to the eigenvalues of the state density matrix. We give a simple necessary and sufficient characterization of systems which are (asymptotically) coolable and present a powerful result which allows to considerably simplify the search for optimal cooling solutions. With these tools at our disposal we derive explicit provably time-optimal cooling protocols for rank one qubit systems, inverted $\Lambda$-systems on a qutrit, and a certain system consisting of two coupled qubits.

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