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RESEARCH PRODUCT

Implementing quantum gates through scattering between a static and a flying qubit

R. De CossFrancesco CiccarelloYasser OmarMichelangelo ZarconeSougato BoseGuillermo Cordourier-maruri

subject

PhysicsQuantum PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsFOS: Physical sciencesAtomic and Molecular Physics and OpticsQuantum circuitQuantum gateClassical mechanicsComputer Science::Emerging TechnologiesControlled NOT gateQuantum error correctionQubitQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)quantum gate scattering flying qubitQuantum informationQuantum Physics (quant-ph)Quantum information scienceQuantum computer

description

We investigate whether a two-qubit quantum gate can be implemented in a scattering process involving a flying and a static qubit. To this end, we focus on a paradigmatic setup made out of a mobile particle and a quantum impurity, whose respective spin degrees of freedom couple to each other during a one-dimensional scattering process. Once a condition for the occurrence of quantum gates is derived in terms of spin-dependent transmission coefficients, we show that this can be actually fulfilled through the insertion of an additional narrow potential barrier. An interesting observation is that under resonance conditions the above enables a gate only for isotropic Heisenberg (exchange) interactions and fails for an XY interaction. We show the existence of parameter regimes for which gates able to establish a maximum amount of entanglement can be implemented. The gates are found to be robust to variations of the optimal parameters.

10.1103/physreva.82.052313http://arxiv.org/abs/1008.2370