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Superadiabatic Controlled Evolutions and Universal Quantum Computation | | Alan C. Santos
; Marcelo S. Sarandy
; | | Date: |
14 Sep 2015 | | Abstract: | Adiabatic state engineering is a powerful technique in quantum information
and quantum control. However, its performance is limited by the adiabatic
theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such
as provided by the superadiabatic theory, constitute a valuable tool to speed
up the adiabatic quantum behavior. Here, we propose a superadiabatic route to
implement universal quantum computation. Our method is based on the realization
of piecewise controlled superadiabatic evolutions. Remarkably, they can be
obtained by simple time-independent counter-diabatic Hamiltonians. In
particular, we discuss the implementation of fast rotation gates and arbitrary
n-qubit controlled gates, which can be used to design different sets of
universal quantum gates. Concerning the energy cost of the superadiabatic
implementation, we show that it is dictated by the quantum speed limit,
providing an upper bound for the corresponding adiabatic counterparts. | | Source: | arXiv, 1509.4215 | | Services: | Forum | Review | PDF | Favorites | |
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