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We present a systematic and realistic simulation for single and double phosphorous donors in a silicon-based quantum computer design. A two-valley equation is developed to describe the ground state of phosphorous donors in strained silicon…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Angbo Fang , Yia-Chung Chang , J. R. Tucker

Individual donors in silicon chips are used as quantum bits with extremely low error rates. However, physical realizations have been limited to one donor because their atomic size causes fabrication challenges. Quantum dot qubits, in…

Donor spin in silicon have achieved record values of coherence times and single-qubit gate fidelities. The next stage of development involves demonstrating high-fidelity two-qubit logic gates, where the most natural coupling is the exchange…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Benjamin Joecker , Andrew D. Baczewski , John K. Gamble , Jarryd J. Pla , André Saraiva , Andrea Morello

Heisenberg exchange coupling between neighboring electron spins in semiconductor quantum dots provides a powerful tool for quantum information processing and simulation. Although so far unrealized, extended Heisenberg spin chains can enable…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Haifeng Qiao , Yadav P. Kandel , Kuangyin Deng , Saeed Fallahi , Geoffrey C. Gardner , Michael J. Manfra , Edwin Barnes , John M. Nichol

The exchange coupling of the spins of two electrons in double well potentials in a semiconductor background is calculated within the Heitler-London (HL) approximation. Atomic and quantum dot types of confining potentials are considered, and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. J. Calderon , Belita Koiller , S. Das Sarma

A dipolar gate alternative to the exchange gate based Kane quantum computer is proposed where the qubits are electron spins of shallow group V donors in silicon. Residual exchange coupling is treated as gate error amenable to quantum error…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Rogerio de Sousa , J. D. Delgado , S. Das Sarma

We present a new scheme for rotations of a charge qubit associated with a singly ionized pair of donor atoms in a semiconductor host. The logical states of such a qubit proposed recently by Hollenberg et al. are defined by the lowest two…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. A. Openov

We propose a method to electrically control electron spins in donor-based qubits in silicon. By taking advantage of the hyperfine coupling difference between a single-donor and a two-donor quantum dot, spin rotation can be driven by…

Mesoscale and Nanoscale Physics · Physics 2017-03-17 Yu Wang , Chin-Yi Chen , Gerhard Klimeck , Michelle Y. Simmons , Rajib Rahman

We unravel theoretically a key intrinsic relaxation mechanism among the low-lying singlet and triplet donor-pair states in silicon, an important element in the fast-developing field of spintronics and quantum computation. Despite the…

Mesoscale and Nanoscale Physics · Physics 2017-10-04 Yang Song , S. Das Sarma

Electric control of individual atoms or molecules in a solid-state system offers a promising way to bring quantum mechanical functionalities into electronics. This idea has recently come into the reach of the established domain of silicon…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 E. Dupont-Ferrier , B. Roche , B. Voisin , X. Jehl , R. Wacquez , M. Vinet , M. Sanquer , S. De Franceschi

We perform time-dependent simulations of spin exchange for an electron pair in laterally coupled quantum dots. The calculation is based on configuration interaction scheme accounting for spin-orbit (SO) coupling and electron-electron…

Mesoscale and Nanoscale Physics · Physics 2010-10-14 M. P. Nowak , B. Szafran

We have investigated few-body states in vertically stacked quantum dots. Due to small inter-dot tunneling rate, the coupling in our system is in a previously unexplored regime where electron-hole exchange is the dominant spin interaction.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Stefan Falt , Mete Atature , Hakan E. Tureci , Yong Zhao , Antonio Badolato , Atac Imamoglu

We present a controlled method for computing the exchange coupling in strongly correlated one-dimensional electron systems. It is based on the asymptotically exact relation between the exchange constant and the pair-correlation function of…

Strongly Correlated Electrons · Physics 2007-05-23 Michael M. Fogler , Eugene Pivovarov

The possibility of quantum computing with spins in germanium nanoscale transistors has recently attracted interest since it promises highly tuneable qubits that have encouraging coherence times. We here present the first complete theory of…

Mesoscale and Nanoscale Physics · Physics 2017-01-11 Giuseppe Pica , Brendon W. Lovett

We theoretically study the Hilbert space structure of two neighbouring P donor electrons in silicon-based quantum computer architectures. To use electron spins as qubits, a crucial condition is the isolation of the electron spins from their…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. M. Kettle , Hsi-Sheng Goan , Sean C. Smith

Scalable quantum processors require high-fidelity universal quantum logic operations in a manufacturable physical platform. Donors in silicon provide atomic size, excellent quantum coherence and compatibility with standard semiconductor…

Exchange coupling is a key ingredient for spin-based quantum technologies since it can be used to entangle spin qubits and create logical spin qubits. However, the influence of the electronic valley degree of freedom in silicon on exchange…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 J. Salfi , B. Voisin , A. Tankasala , J. Bocquel , M. Usman , M. Y. Simmons , L. C. L. Hollenberg , R. Rahman , S. Rogge

We study the exchange coupling in small Wigner crystals confined to one-dimensional space. In particular we concentrate on the simplest nontrivial case of two electrons in a box potential and calculate analytically the energy splitting…

Strongly Correlated Electrons · Physics 2025-12-30 Daniele Lagasco , Zoran Ristivojevic

In spin qubit arrays the exchange coupling can be harnessed to implement two-qubit gates and to realize intermediate-range qubit connectivity along a spin bus. In this work, we propose a scheme to characterize the exchange coupling between…

Mesoscale and Nanoscale Physics · Physics 2024-11-28 Florian Ginzel , Guido Burkard

The Heisenberg exchange interaction between neighboring quantum dots allows precise voltage control over spin dynamics, due to the ability to precisely control the overlap of orbital wavefunctions by gate electrodes. This allows the study…