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Journal of Physics Conference Series

Which wayinterpretation of the dephasing of charge qubits in quantum dots

Katarzyna Roszak, Paweł Machnikowski, Lucjan Jacak

Published Feb 28, 2006• 3 citations
Publisher

Abstract

We show that phonon-induced dephasing of exciton states confined in a quantum dot may be interpreted in terms of which way information transferred from the carrier system to the lattice environment. Using distinguishability of quantum states as a measure for this information transfer we cast this interpretation in the form of a quantitative complementarity relation.

DOI
10.1088/1742-6596/30/1/008

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We show that phonon-induced dephasing of exciton states confined in a quantum dot may be interpreted in terms of which way information transferred from the carrier system to the lattice environment. Using distinguishability of quantum states as a measure for this information transfer we cast this interpretation in the form of a quantitative complementarity relation.
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We show that phonon-induced pure dephasing of an excitonic (charge) quantum bit in a quantum dot (QD) may be reduced by collective encoding of logical qubits in QD arrays. We define the logical qubit on an array of 2, 4 and 8 QDs, connecting the logical |0⟩ state with the presence of excitons in the appropriately chosen half of dots and the logical |1⟩ state with the other half of the dots occupied. We give quantitative estimates of the resulting total error of a single qubit operation for an InAs/GaAs system.
This chapter is devoted to the recent theoretical results on the optical quantum control over charges confined in quantum dots under influence of phonons. We show that lattice relaxation processes lead to decoherence of the confined carrier states. The theoretical approach leading to a uniform, compact description of the phonon impact on carrier dynamics, perturbative in phonon couplings but applicable to arbitrary unperturbed evolution, is described in detail. Next, some applications are presented: phonon damping of Rabi oscillations in quantum dots and phonon-induced error of a single-qubit gate for an excitonic quantum dot qubit as well as for a semiconductor quantum dot spin qubit operated via a STIRAP transfer.