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      Shortcuts to Adiabaticity by Counterdiabatic Driving in Trapped-ion Transport

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          Abstract

          Adiabatic dynamics plays an essential role in quantum technologies. By driving a quantum system slowly, the quantum evolution can be engineered with suppressed excitation. Yet, environmentally-induced decoherence limits the implementation of adiabatic protocols. Shortcuts to adiabaticity (STA) have the potential to revolutionize quantum technologies by speeding up the time evolution while mimicking adiabatic dynamics. These nonadiabatic protocols can be engineered by means an auxiliary control field is used to tailor excitations. Here we present the first experimental realization of counterdiabatic driving in a continuous variable system, implementing a shortcut to the adiabatic transport of a trapped ion, in which nonadiabatic transitions are suppressed during all stages of the process. The resulting dynamics is equivalent to a "fast-motion video" of the adiabatic trajectory. We experimentally demonstrate the enhanced robustness of the protocol with respect to alternative approaches based on classical local controls including Fourier optimization schemes. Our results demonstrate that STA protocols provide a robust speedup on demand, paving the way to their application in a wide variety of quantum technologies.

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          Most cited references10

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          A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem

          , , (2001)
          A quantum system will stay near its instantaneous ground state if the Hamiltonian that governs its evolution varies slowly enough. This quantum adiabatic behavior is the basis of a new class of algorithms for quantum computing. We test one such algorithm by applying it to randomly generated, hard, instances of an NP-complete problem. For the small examples that we can simulate, the quantum adiabatic algorithm works well, and provides evidence that quantum computers (if large ones can be built) may be able to outperform ordinary computers on hard sets of instances of NP-complete problems.
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            More bang for your buck: Super-adiabatic quantum engines

            The practical untenability of the quasi-static assumption makes any realistic engine intrinsically irreversible and its operating time finite, thus implying friction effects at short cycle times. An important technological goal is thus the design of maximally efficient engines working at the maximum possible power. We show that, by utilising shortcuts to adiabaticity in a quantum engine cycle, one can engineer a thermodynamic cycle working at finite power and zero friction. Our findings are illustrated using a harmonic oscillator undergoing a quantum Otto cycle.
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              Geometric Manipulation of Trapped Ions for Quantum Computation

              , , (2001)
              We propose an experimentally feasible scheme to achieve quantum computation based solely on geometric manipulations of a quantum system. The desired geometric operations are obtained by driving the quantum system to undergo appropriate adiabatic cyclic evolutions. Our implementation of the all-geometric quantum computation is based on laser manipulation of a set of trapped ions. An all-geometric approach, apart from its fundamental interest, promises a possible way for robust quantum computation.
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                Author and article information

                Journal
                2016-01-21
                Article
                1601.05551
                254458fc-7555-4dcb-9b96-419264a8404d

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Main text: 4 pages, 3 figures, Supplementary Information: 4 pages, 7 figures
                quant-ph physics.atom-ph

                Quantum physics & Field theory,Atomic & Molecular physics
                Quantum physics & Field theory, Atomic & Molecular physics

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