Time optimal quantum state engineering

• URL: http://arxiv.org/abs/2605.24781v1
• Date: Sat, 23 May 2026 23:49:19 GMT
• Title: Time optimal quantum state engineering
• Abstract summary: We employ time-optimal control methods to engineer nonclassical states in light-matter systems.<n>We demonstrate the deterministic generation of Fock states and highly entangled Schrdinger cat states at unit fidelity.<n>Our results establish time-optimal control as an efficient and experimentally feasible approach for fast and nonclassical state engineering in hybrid quantum platforms.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The efficient generation of highly nonclassical quantum states is essential for emerging quantum technologies, yet it remains challenging due to decoherence and the long preparation times associated with conventional adiabatic protocols. Here, we employ time-optimal control methods based on the quantum brachistochrone formalism to engineer nonclassical states in light--matter systems described by the time-dependent Jaynes--Cummings and quantum Rabi models. We demonstrate the deterministic generation of Fock states and highly entangled Schrödinger cat states at unit fidelity, and characterize their nonclassical properties through joint Wigner phase-space distributions. We further show that the wind control generates these non-classical states at speed limit which leads to a reduced energetic cost and robustness against dissipation, relaxation, and dephasing across a broad range of environmental conditions. Our results establish time-optimal control as an efficient and experimentally feasible approach for fast and nonclassical state engineering in hybrid quantum platforms.

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