Abstract
We propose a direct measurement scheme to read out the geometric phase of a coupled double quantum dot system via a quantum point contact(QPC) device. An effective expression of the geometric phase has been derived, which relates the geometric phase of the double quantum dot qubit to the current through QPC device. All the parameters in our expression are measurable or tunable in experiment. Moreover, since the measurement process affects the state of the qubit slightly, the geometric phase can be protected. The feasibility of the scheme has been analyzed. Further, as an example, we simulate the geometrical phase of a qubit when the QPC device is replaced by a single electron transistor(SET).
Highlights
We propose a direct measurement scheme to read out the geometric phase of a coupled double quantum dot system via a quantum point contact(QPC) device
Geometric phase was discovered in context of adiabatic and cyclic closed quantum system by Berry in 198412, and it has been generalized to non-adiabatic cyclic system, non-adiabatic and non-cyclic system[13,14,15,16,17,18,19,20,21]
An effective formula, which relates the geometric phase to the QPC current has been derived
Summary
We propose a direct measurement scheme to read out the geometric phase of a coupled double quantum dot system via a quantum point contact(QPC) device. An effective expression of the geometric phase has been derived, which relates the geometric phase of the double quantum dot qubit to the current through QPC device. Since the measurement process affects the state of the qubit slightly, the geometric phase can be protected. In this paper by studying a well known model we propose a direct measurement scheme on the geometric phase via the current through the QPC device. Since the QPC affects the quantum state of the double quantum dot system slightly[24,25], the read out operation conserves the phase information.
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