Adiabatic evolution under quantum control
arXiv:0910.5859 · doi:10.1016/j.aop.2012.01.001
Abstract
One of the difficulties in adiabatic quantum computation is the limit on the computation time. Here we propose two schemes to speed-up the adiabatic evolution. To apply this controlled adiabatic evolution to adiabatic quantum computation, we design one of the schemes without any prior knowledge of the instantaneous eigenstates of the final Hamiltonian. Whereas in another scheme, the control is constructed with the instantaneous eigenstate that is the target state of the control. As an illustration, we study a two-level system driven by a time-dependent magnetic field under the control. The physics behind the control scheme is explained.
5 pages, 3 figures
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- One Component Dynamical Equation and Noise Induced Adiabaticity
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- Experimental realization of noise-induced adiabaticity in nuclear magnetic resonance
- Optimizing adiabatic quantum pathways via a learning algorithm
- Circuit Complexity in an interacting quenched Quantum Field Theory
- Entanglement in interacting quenched two-body coupled oscillator system
- Scalable quantum control and non-abelian anyon creation in the Kitaev honeycomb model
- Interpolation Approach to Hamiltonian-varying Quantum Systems and the Adiabatic Theorem
- Creation and manipulation of surface code defects with quantum optimal control
- Accelerating an adiabatic process by nonlinear sweeping