Optimal Control at the Quantum Speed Limit
Tommaso Caneva, Michael Murphy, Tommaso Calarco, Rosario Fazio, Simone, Montangero, Vittorio Giovannetti, and Giuseppe E. Santoro
TL;DR
This paper investigates the ultimate limits of optimal control in quantum systems, showing that the maximum achievable control performance aligns with the fundamental quantum speed limit, thus defining the ultimate speed boundary for quantum information tasks.
Contribution
It demonstrates that optimal control performance in quantum systems is fundamentally constrained by the quantum speed limit, establishing a theoretical link between control optimization and quantum evolution speed.
Findings
Optimal control performance is bounded by the quantum speed limit.
The quantum speed limit defines the maximum speed for quantum information processing.
Control strategies can achieve the quantum speed limit in ideal cases.
Abstract
Optimal control theory is a promising candidate for a drastic improvement of the performance of quantum information tasks. We explore its ultimate limit in paradigmatic cases, and demonstrate that it coincides with the maximum speed limit allowed by quantum evolution (the quantum speed limit).
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