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Superlattices and Microstructures

Feasibility study of the quantum XOR gate based on coupled asymmetric semiconductor quantum dots

Alexander A. Balandin, K.L. Wang

Published Mar 1, 1999• 27 citations
Publisher
DOI
10.1006/spmi.1998.0601

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We investigate the feasibility of manipulating individual spin in a superconducting junction where Bogoliubov quasiparticles can be trapped in discrete Andreev levels. We call this system an Andreev quantum dot (AQD) to be contrasted with a common semiconductor quantum dot. We show that the AQD can be brought into a spin-1/2 state. The coupling between the spin and superconducting current facilitates manipulation and measurement of this state. We demonstrate that one can operate two inductively coupled AQDs as a XOR gate; this enables quantum computing applications.
The universal quantum computation is obtained when there exists asymmetric anisotropic exchange between electron spins in coupled semiconductor quantum dots. The asymmetric Heisenberg model can be transformed into the isotropic model through the control of two local unitary rotations for the realization of essential quantum gates. The rotations on each qubit are symmetrical and depend on the strength and orientation of asymmetric exchange. The implementation of the axially symmetric local magnetic fields can assist the construction of quantum logic gates in anisotropic coupled quantum dots. This proposal can efficiently use each physical electron spin as a logical qubit in the universal quantum computation.
We investigate the population dynamics in a three quantum-dot system coupled via an optical near field, which consists of a coherent operation part and an output part. We analytically show that a resonance condition between the two parts depends on initial excitation in the coherent operation part. Using this feature, AND- and XOR-gate operations are demonstrated in the case of symmetrically arranged quantum dots. We also evaluate the effects of asymmetric arrangement on these operations, and show that the coherence plays an important role in an asymmetric system.