Perfect quantum-state synchronization

• URL: http://arxiv.org/abs/2103.02031v2
• Date: Mon, 21 Jun 2021 09:22:19 GMT
• Title: Perfect quantum-state synchronization
• Authors: Jakub Czartowski, Ronny M\"uller, Karol Zyczkowski, Daniel Braun
• Abstract summary: We prove tight lower bounds on the dimension of the environment's Hilbert space in two main classes of quantum-state synchronizers. We show that the remaining asynchronicity is a sensitive measure of the quantum computer's imperfection.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the most general mechanisms that lead to perfect synchronization of the quantum states of all subsystems of an open quantum system starting from an arbitrary initial state. We provide a necessary and sufficient condition for such "quantum-state synchronization", prove tight lower bounds on the dimension of the environment's Hilbert space in two main classes of quantum-state synchronizers, and give an analytical solution for their construction. The functioning of the found quantum-state synchronizer of two qubits is demonstrated experimentally on an IBM quantum computer and we show that the remaining asynchronicity is a sensitive measure of the quantum computer's imperfection.

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