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SUMMARY:Analytic tractability as a limiting constraint in quantum control of many-body spin systems
DESCRIPTION:As quantum control of many-body spin systems approaches hardware-imposed performance limits, the assumptions that enable analytic tractability inevitably cease to function as organizing principles and instead become constraints. Symmetry-based, closed-form design principles systematically exclude weak, device-specific mechanisms that dominate near-limit dynamics, thereby constraining achievable performance.Here, we relax the tractability constraint through computational discovery that complements analytic reasoning, enabling many-body spin control beyond closed-form design. In a solid-state spin ensemble, this approach uncovers control protocols that demonstrate clear advantages over analytically designed counterparts while resisting complete analytic description.Crucially, these protocols are not arbitrary: they exhibit interpretable, repeatable structure that reveals organizing principles of near-limit many-body dynamics. This structure enables reliable performance estimation across families of control solutions, improving the efficiency of computational exploration by approximately two orders of magnitude.As a result, it becomes feasible to navigate hardware-resolved control design spaces far exceeding analytically tractable regimes, expanding the available control primitives from 8 symmetry-restricted operations to 26,400 quasi-continuous choices. Fine-grained primitive variations are essential in the near-limit regime, enabling the precise capture of weak, hardware-specific effects in realistic devices.Together, these results show that breaking the confinement imposed by analytic tractability requires integrating analytic reasoning with computational discovery in a unified framework, thereby enabling systematic advances in experimental capability and physical understanding.
LOCATION:Erwin Schrödinger Saal, Innsbruck
DTSTART:20260107T150000
DTEND:20260107T160000
TZID: Europe/Vienna
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