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Counter-diabatic driving for fast spin control in a two-electron double quantum dot.

Ban Y, Chen X - Sci Rep (2014)

Bottom Line: The techniques of shortcuts to adiabaticity have been proposed to accelerate the "slow" adiabatic processes in various quantum systems with the applications in quantum information processing.In addition, the relation between energy and time is quantified to show the lower bound for the operation time when the maximum amplitude of electric fields is given.Finally, the fidelity is discussed with respect to noise and systematic errors, which demonstrates that the decoherence effect induced by stochastic environment can be avoided in speeded-up adiabatic control.

View Article: PubMed Central - PubMed

Affiliation: Department of Electronic Information Materials, Shanghai University, 200444 Shanghai, People's Republic of China.

ABSTRACT
The techniques of shortcuts to adiabaticity have been proposed to accelerate the "slow" adiabatic processes in various quantum systems with the applications in quantum information processing. In this paper, we study the counter-diabatic driving for fast adiabatic spin manipulation in a two-electron double quantum dot by designing time-dependent electric fields in the presence of spin-orbit coupling. To simplify implementation and find an alternative shortcut, we further transform the Hamiltonian in term of Lie algebra, which allows one to use a single Cartesian component of electric fields. In addition, the relation between energy and time is quantified to show the lower bound for the operation time when the maximum amplitude of electric fields is given. Finally, the fidelity is discussed with respect to noise and systematic errors, which demonstrates that the decoherence effect induced by stochastic environment can be avoided in speeded-up adiabatic control.

No MeSH data available.


Related in: MedlinePlus

(a) Time dependence of Y (solid blue line) and Z (dashed red line) terms of H0. (b) The applied electric fields  (solid blue line) and  (dashed red line) drive the state transition of H0 adiabatically, with tf = 11 ns. (c) The applied electric fields  (solid blue line),  (dashed red line) and  (dot-dashed green line) drive the state transition of H in a fast adiabatic way with shorter time tf = 2 ns.
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f2: (a) Time dependence of Y (solid blue line) and Z (dashed red line) terms of H0. (b) The applied electric fields (solid blue line) and (dashed red line) drive the state transition of H0 adiabatically, with tf = 11 ns. (c) The applied electric fields (solid blue line), (dashed red line) and (dot-dashed green line) drive the state transition of H in a fast adiabatic way with shorter time tf = 2 ns.

Mentions: Shortening the manipulation time to tf = 2 ns, shrinking into this time duration and keeping the same amplitude, we can find the state evolution is no longer adiabatic and the final state cannot reach /1〉 at the final time. The same profiles of time-dependent Y and Z terms in H0 are shown in Fig. 2 (a) for different operation times, tf.


Counter-diabatic driving for fast spin control in a two-electron double quantum dot.

Ban Y, Chen X - Sci Rep (2014)

(a) Time dependence of Y (solid blue line) and Z (dashed red line) terms of H0. (b) The applied electric fields  (solid blue line) and  (dashed red line) drive the state transition of H0 adiabatically, with tf = 11 ns. (c) The applied electric fields  (solid blue line),  (dashed red line) and  (dot-dashed green line) drive the state transition of H in a fast adiabatic way with shorter time tf = 2 ns.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4150114&req=5

f2: (a) Time dependence of Y (solid blue line) and Z (dashed red line) terms of H0. (b) The applied electric fields (solid blue line) and (dashed red line) drive the state transition of H0 adiabatically, with tf = 11 ns. (c) The applied electric fields (solid blue line), (dashed red line) and (dot-dashed green line) drive the state transition of H in a fast adiabatic way with shorter time tf = 2 ns.
Mentions: Shortening the manipulation time to tf = 2 ns, shrinking into this time duration and keeping the same amplitude, we can find the state evolution is no longer adiabatic and the final state cannot reach /1〉 at the final time. The same profiles of time-dependent Y and Z terms in H0 are shown in Fig. 2 (a) for different operation times, tf.

Bottom Line: The techniques of shortcuts to adiabaticity have been proposed to accelerate the "slow" adiabatic processes in various quantum systems with the applications in quantum information processing.In addition, the relation between energy and time is quantified to show the lower bound for the operation time when the maximum amplitude of electric fields is given.Finally, the fidelity is discussed with respect to noise and systematic errors, which demonstrates that the decoherence effect induced by stochastic environment can be avoided in speeded-up adiabatic control.

View Article: PubMed Central - PubMed

Affiliation: Department of Electronic Information Materials, Shanghai University, 200444 Shanghai, People's Republic of China.

ABSTRACT
The techniques of shortcuts to adiabaticity have been proposed to accelerate the "slow" adiabatic processes in various quantum systems with the applications in quantum information processing. In this paper, we study the counter-diabatic driving for fast adiabatic spin manipulation in a two-electron double quantum dot by designing time-dependent electric fields in the presence of spin-orbit coupling. To simplify implementation and find an alternative shortcut, we further transform the Hamiltonian in term of Lie algebra, which allows one to use a single Cartesian component of electric fields. In addition, the relation between energy and time is quantified to show the lower bound for the operation time when the maximum amplitude of electric fields is given. Finally, the fidelity is discussed with respect to noise and systematic errors, which demonstrates that the decoherence effect induced by stochastic environment can be avoided in speeded-up adiabatic control.

No MeSH data available.


Related in: MedlinePlus