2017/02/28 by Alan C. Santos, M. S. Sarandy, Marcelo S. Sarandy · 41 citations
Computer Science · Physics and Astronomy · #Biology #Computer science #Genetics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum decoherence #Quantum mechanics #Robustness (evolution) #Statistical physics #Theoretical physics #quant-ph
paper · pdf · doi:10.1088/1751-8121/aa96f1
published in Journal of Physics A Mathematical and Theoretical 51(2), 025301 (Institute of Physics) · 21 pages, 7 Figures. v3: published version
openalex publication_date 2017/10/30 · arxiv created 2017/12/18 · arxiv updated 2017/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Shortcuts to adiabaticity provide a general approach to mimic adiabatic quantum processes via arbitrarily fast evolutions in Hilbert space. For these counter-diabatic evolutions, higher speed comes at higher energy cost. Here, the counter-diabatic theory is employed as a minimal energy demanding scheme for speeding up adiabatic tasks. As a by-product, we show that this approach can be used to obtain infinite classes of transitionless models, including time-independent Hamiltonians under certain conditions over the eigenstates of the original Hamiltonian. We apply these results to investigate shortcuts to adiabaticity in decohering environments by introducing the requirement of a fixed energy resource. In this scenario, we show that generalized transitionless evolutions can be more robust against decoherence than their adiabatic counterparts. We illustrate this enhanced robustness both for the Landau–Zener model and for quantum gate Hamiltonians.