Figure 6 - uploaded by Sophie Shermer
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Bloch sphere picture of the evolution of the five quantum dots with initial and target states of each dot marked by black dot and star, respectively. The left column (a) shows the ideal evolution of each dot in the rotating frame subject to the field 5 (a). Target dots 1 and 3 follow a smooth path from South to North pole, the others are unaffected. The middle column (b) shows the actual evolution of the quantum dots in the stationary frame when subjected to field 5 (a). Dots 1 and 3 are resonantly excited leading to population transfer from the South to the North pole along a spiral path in the stationary frame. However, there is significant off-resonant excitation of the remaining dots, all of which are left in non-stationary states at the final time. The right column (c) shows the path of the dots subject to field 5 (b), despite following complicated trajectories both target dots finish at the North pole and all the other dots are returned to the South pole (ground state) at the final time, leaving no unwanted excitations.
Source publication
We consider how the ability to control quantum effects might give rise to entirely new technologies, present an overview of potential applications and consider some of the key challenges facing quantum control. A general overview of the main techniques that have been employed successfully so far in controlling various quantum phenomena is given and...
Citations
... Control of quantum dynamics by means of Hamiltonian engineering is recognized as a crucial tool for the development of quantum technology from QIP applications to novel MRI pulse sequences [1,2,3]. The effectiveness of most quantum control strategies is conditional on the existence of accurate models for control design. ...
The problem of model discriminability and parameter identifiability for
dephasing two-level systems subject to Hamiltonian control is studied. Analytic
solutions of the Bloch equations are used to derive explicit expressions for
observables as functions of time for different models. This information is used
to give criteria for model discrimination and parameter estimation based on
simple experimental paradigms.
... Kendon (2006) explains the fundamental difference between the classical and the quantum random walks applicable to computational algorithms, and points to possible major progress on the latter. Schirmer (2006) gives an overview of the present achievements in controlling quantum phenomena and offers an outlook on overcoming the challenges in realizing quantum technology. ...
This article overviews the contributions to the special Christmas Issues of Phil. Trans. R. Soc. A published in Decembers 2004–2006, which together cover most of the physical sciences. It also plays the role of a Preface for the 2006 issue, which is devoted to the work of young scientists in mathematics and physics.
