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We review recent advances on the theory of spin qubits in nanostructures. We focus on four selected topics. First, we show how to form spin qubits in the new and promising material graphene. Afterwards, we discuss spin relaxation and…

Mesoscale and Nanoscale Physics · Physics 2008-08-29 B. Trauzettel , M. Borhani , M. Trif , D. Loss

We have observed millisecond-long coherent evolution of nuclear spins in a quantum wire at 1.2 K. Local, all-electrical manipulation of nuclear spins is achieved by dynamic nuclear polarization in the breakdown regime of the Integer Quantum…

Mesoscale and Nanoscale Physics · Physics 2009-10-01 A. Corcoles , C. J. B. Ford , M. Pepper , G. A. C. Jones , H. E. Beere , D. A. Ritchie

Electron spins in semiconductor quantum dots are good candidates of quantum bits for quantum information processing. Basic operations of the qubit have been realized in recent years: initialization, manipulation of single spins, two qubit…

Spins in gate-defined silicon quantum dots are promising candidates for implementing large-scale quantum computing. To read the spin state of these qubits, the mechanism that has provided the highest fidelity is spin-to-charge conversion…

Two-level quantum systems with strong spin-orbit coupling allow for all-electrical qubit control and long-distance qubit coupling via microwave and phonon cavities, making them of particular interest for scalable quantum information…

Mesoscale and Nanoscale Physics · Physics 2019-01-11 J. van der Heijden , T. Kobayashi , M. G. House , J. Salfi , S. Barraud , R. Lavieville , M. Y. Simmons , S. Rogge

This paper surveys our recent research on quantum information processing by nuclear magnetic resonance (NMR) spectroscopy. We begin with a geometric introduction to the NMR of an ensemble of indistinguishable spins, and then show how this…

Quantum Physics · Physics 2007-05-23 T. F. Havel , S. S. Somaroo , C. -H. Tseng , D. G. Cory

Universal quantum information processing requires single-qubit rotations and two-qubit interactions as minimal resources. A possible step beyond this minimal scheme is the use of three-qubit interactions. We consider such three-qubit…

Quantum Physics · Physics 2007-05-23 Jingfu Zhang , Xinhua Peng , Dieter Suter

Molecular spin qubits are promising candidates for quantum technologies, but their performance is limited by decoherence arising from diverse mechanisms. The complexity of the environment makes it challenging to identify the main source of…

The main features of quantum computing are described in the framework of spin resonance methods. Stress is put on the fact that quantum computing is in itself nothing but a re-interpretation (fruitful indeed) of well-known concepts. The…

Quantum Physics · Physics 2009-10-31 Valerio Scarani

Quantum Max Cut (QMC), also known as the quantum anti-ferromagnetic Heisenberg model, is a QMA-complete problem relevant to quantum many-body physics and computer science. Semidefinite programming relaxations have been fruitful in designing…

Quantum Physics · Physics 2024-11-07 Felix Huber , Kevin Thompson , Ojas Parekh , Sevag Gharibian

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

New schemes for the nuclear spin quantum memory are proposed based on a system composed of two electrons or one electron coupled to a single nuclear spin in isotopically purified group IV elemental and II-VI compound semiconductors. The…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Özgür Çakır , Toshihide Takagahara

Nuclear spin-lattice relaxation in one-dimensional Heisenberg ferrimagnets is studied by means of a modified spin-wave theory. Calculating beyond the first-order mechanism, where a nuclear spin directly interacts with spin waves through the…

Strongly Correlated Electrons · Physics 2015-06-25 Shoji Yamamoto , Hiromitsu Hori

We report the first theoretical estimate of the nuclear-spin dephasing time T_2 owing to the spin interaction with the two-dimensional electron gas, when the latter is in the integer quantum Hall state, in a two-dimensional heterojunction…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 D. Mozyrsky , V. Privman , I. D. Vagner

We consider the central spin model in the box approximation taking into account external magnetic field and anisotropy of the hyperfine interaction. From the exact Hamiltonian diagonalization we obtain analytical expressions for the nuclear…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 A. V. Shumilin , D. S. Smirnov

We report the first simulations of the dynamics of quantum logic operations with a large number of qubits (up to 1000). A nuclear spin chain in which selective excitations of spins is provided by the gradient of the external magnetic field…

Quantum Physics · Physics 2009-10-31 G. P. Berman , G. D. Doolen , G. V. Lopez , V. I. Tsifrinovich

We present a derivation of the Redfield formalism for treating the dissipative dynamics of a time-dependent quantum system coupled to a classical environment. We compare such a formalism with the master equation approach where the…

We investigate analytically and numerically the Multiple Quantum (MQ) NMR dynamics in systems of nuclear spins 1/2 coupled by the dipole-dipole interactions in the case of the dipolar ordered initial state. We suggest two different methods…

Other Condensed Matter · Physics 2009-11-13 S. I. Doronin , E. B. Fel'dman , E. I. Kuznetsova , G. B. Furman , S. D. Goren

We discuss the quantum-circuit realization of the state of a nucleon in the scope of simple symmetry groups. Explicit algorithms are presented for the preparation of the state of a neutron or a proton as resulting from the composition of…

Quantum Physics · Physics 2015-03-17 F. L. Semiao , M. Paternostro

The spin-sensitive charge oscillation, controlled by an external magnetic field, was recently proposed as a mechanism of transformations of qubits, defined as two-electron spin-charge Wannier molecules in a square quantum dot. The paper…

Mesoscale and Nanoscale Physics · Physics 2020-07-30 Ambroz Kregar , Anton Ramsak
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