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We investigate the controllability of quantum electrons trapped in a two-dimensional device, typically a MOS field-effect transistor. The problem is modeled by the Schr\"odinger equation in a bounded domain coupled to the Poisson equation…

Analysis of PDEs · Mathematics 2013-10-02 Florian Méhats , Yannick Privat , Mario Sigalotti

Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems. However, this difficulty may be overcome by using some controllable quantum system to study another less controllable…

Quantum Physics · Physics 2014-03-14 I. M. Georgescu , S. Ashhab , Franco Nori

We suggest an architecture for quantum computing with spin-pair encoded qubits in silicon. Electron-nuclear spin-pairs are controlled by a dc magnetic field and electrode-switched on and off hyperfine interaction. This digital processing is…

Quantum Physics · Physics 2009-11-07 A. J. Skinner , M. E. Davenport , B. E. Kane

We describe a quantum information processor (quantum computer) based on the hyperfine interactions between the conduction electrons and nuclear spins embedded in a two-dimensional electron system in the quantum-Hall regime. Nuclear spins…

Quantum Physics · Physics 2014-11-18 V. Privman , I. D. Vagner , G. Kventsel

We investigate the electrical control of the exchange coupling (J) between donor bound electrons in silicon with a detuning gate bias, crucial for the implementation of the two-qubit gate in a silicon quantum computer. We find the…

Mesoscale and Nanoscale Physics · Physics 2016-07-01 Yu E. Wang , Archana Tankasala , Lloyd C. L. Hollenberg , Gerhard Klimeck , Michelle Y. Simmons , Rajib Rahman

We examine a 31P donor electron spin in a Si crystal to be used for the purposes of quantum computation. The interaction with an uncontrolled system of 29Si nuclear spins influences the electron spin dynamics appreciably. The hyperfine…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Saikin , L. Fedichkin

A doped semiconductor double-quantum-dot molecule is proposed as a qubit realization. The quantum information is encoded in the electron spin, thus benefiting from the long relevant decoherence times; the enhanced flexibility of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. Troiani , U. Hohenester , E. Molinari

We predict a gigantically long lifetime of the first excited state of an interstitial lithium donor in silicon. The nature of this effect roots in the anomalous level structure of the {\em 1s} Li manifold under external stress. Namely, the…

Quantum Physics · Physics 2009-11-10 V. N. Smelyanskiy , A. G. Petukhov , V. V. Osipov

Motivated by applications to quantum computer architectures we study the change in the exchange interaction between neighbouring phosphorus donor electrons in silicon due to the application of voltage biases to surface control electrodes.…

Materials Science · Physics 2009-11-10 C. J. Wellard , L. C. L Hollenberg , L. M. Kettle , H. -S. Goan

The development of small-scale sensors and actuators enables the construction of smart matter in which physical properties of materials are controlled in a distributed manner. In this paper, we describe how quantum computers could provide…

Quantum Physics · Physics 2009-10-06 Tad Hogg , J. Geoffrey Chase

In this paper is presented an abstract theory of quantum processors and controllers, special kind of quantum computational network defined on a composite quantum system with two parts: the controlling and controlled subsystems. Such…

Quantum Physics · Physics 2010-05-12 Alexander Yu. Vlasov

A promising platform for quantum information processing is that of silicon impurities, where the quantum states are manipulated by magnetic resonance. Such systems, in abstraction, can be considered as a nucleus of arbitrary spin coupled to…

Quantum Physics · Physics 2013-05-07 M. H. Mohammady

We demonstrate how gradient ascent pulse engineering optimal control methods can be implemented on donor electron spin qubits in Si semiconductors with an architecture complementary to the original Kane's proposal. We focus on the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dong-Bang Tsai , Po-Wen Chen , Hsi-Sheng Goan

We review the progress and main challenges in implementing large-scale quantum computing by optical control of electron spins in quantum dots (QDs). Relevant systems include self-assembled QDs of III-V or II-VI compound semiconductors (such…

Quantum Physics · Physics 2010-09-13 Ren-Bao Liu , Wang Yao , L. J. Sham

Solid-state quantum computer architectures with qubits encoded using single atoms are now feasible given recent advances in atomic doping of semiconductors. Here we present a charge qubit consisting of two dopant atoms in a semiconductor…

We demonstrate that an $n^+/i/n^+$ junction is the most suitable candidate for electronic control and readout of qubit states in quantum computing systems based on shallow impurities. The signature of this system is that the $n^+-$regions…

Other Condensed Matter · Physics 2007-05-23 A. G. Petukhov , V. V. Osipov , V. N. Smelyanskiy

Quantum dots are artificial atoms used for a multitude of purposes. Charge defects are commonly present and can significantly perturb the designed energy spectrum and purpose of the dots. Voltage controlled exchange energy in silicon double…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Rajib Rahman , Erik Nielsen , Richard P. Muller , Malcolm S. Carroll

Control over electron-spin states, such as coherent manipulation, filtering and measurement promises access to new technologies in conventional as well as in quantum computation and quantum communication. We review our proposal of using…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Guido Burkard , Hans-Andreas Engel , Daniel Loss

Silicon is a leading qubit platform thanks to the exceptional coherence times that can be achieved and to the available commercial manufacturing platform for integration. Building scalable quantum processing architectures relies on accurate…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 B. Voisin , J. Salfi , R. Rahman , S. Rogge

Numerous physical systems have been proposed for constructing quantum computers, but formidable obstacles stand in the way of making even modest systems with a few hundred quantum bits (qubits). Several approaches utilize the spin of an…

Other Condensed Matter · Physics 2007-05-23 S. A. Lyon
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