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QI: Fachverband Quanteninformation

QI 17: Decoherence and Open Systems II

QI 17.2: Vortrag

Donnerstag, 12. März 2026, 15:15–15:30, BEY/0137

Quantum Zeno effect versus adiabatic quantum computing and quantum annealingNaser Ahmadiniaz1, Dennis Kraft1, Gernot Schaller1, and •Ralf Schuetzhold1,21Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany — 2Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

For the adiabatic version of Grover’s quantum search algorithm as proposed by Roland and Cerf, we study the impact of decoherence caused by a rather general coupling to some environment. For quite generic conditions, we find that the quantum Zeno effect poses strong limitations on the performance (quantum speed-up) since the environment effectively measures the state of the system permanently and thereby inhibits or slows down quantum transitions. Generalizing our results, we find that analogous restrictions should apply universally to adiabatic quantum algorithms and quantum annealing schemes which are based on isolated Landau-Zener type transitions at avoided level crossings (similar to first-order phase transitions). As a possible resort, more gradual changes of the quantum state (as in second-order phase transitions) or suitable error-correcting schemes such as the spin-echo method may alleviate this problem. https://doi.org/10.48550/arXiv.2509.04057

Keywords: adiabatic quantum algorithms; quantum annealing; quantum Zeno effect

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