High-fidelity quantum driving

By M. Bason, M. Viteau, N. Malossi, P. Huillery, E. Arimondo, D. Ciampini, Rosario Fazio, Vittorio Giovannetti, R. Mannella, O. Morsch. Nature Physics, 2011

372 citations recorded by the source corpus.

Accurately controlling a quantum system is a fundamental requirement in quantum information processing and the coherent manipulation of molecular systems. The ultimate goal in quantum control is to prepare a desired state with the highest fidelity allowed by the available resources and the experimental constraints. Here we experimentally implement two optimal high-fidelity control protocols using a two-level quantum system comprising Bose–Einstein condensates in optical lattices. The first is a short-cut protocol that reaches the maximum quantum-transformation speed compatible with the Heisenberg uncertainty principle. In the opposite limit, we realize the recently proposed transitionless superadiabatic protocols in which the system follows the instantaneous adiabatic ground state nearly perfectly. We demonstrate that superadiabatic protocols are extremely robust against control parameter variations, making them useful for practical applications. Transforming a quantum system with high fidelity is usually a trade-off between an increase in speed—thereby minimizing decoherence—and robustness against fluctuating control parameters. Protocols at these two extreme limits are now demonstrated and compared using Bose–Einstein condensates in optical traps.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/c48171033f6ac33e5617d23e0e68d1827859662b

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Citations in the corpus

Shortcuts to Adiabaticity (2012, methodology): “2.2, 2.4, and 5.1 has been applied recently to invert the population of different two-level systems: In Bason et al. (2012) the effective two-level system is set as a condensate in the bands of an accelerated optical lattice Zenesini et al. (2009).”
Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving (2014, methodology): “Experimental demonstration of driving protocols inspired by the CD technique have recently been reported in single two-level systems [26, 27].”
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017, methodology): “Interestingly, if we restrict |ψ0〉 and |ψT〉 to be the respective ground states of the Landau–Zener Hamiltonian, equation (57), at the start and end of the protocol, Γ(0) = −γ and Γ(τ) = γ , then τmin = τQSL, precisely in line with [28, 109].”