Quantum Computing with Electrons Floating on Liquid Helium

Platzman, P. M.; Dykman, M. I.

doi:10.1126/science.284.5422.1967

Cited by 353 publications

(442 citation statements)

References 13 publications

Supporting

Mentioning

425

Contrasting

Unclassified

Order By: Relevance

“…44 Despite its simplicity, this model has been useful for studying the behavior of many physical systems, such as Rydberg atoms in external fields 45,46 or the dynamics of surface-state electrons in liquid helium 47,48 and its potential application to quantum computing. 49,50 Most work since Loudon has focused on one-electron ions 44,[51][52][53][54][55][56][57] and, to the best of our knowledge, no calculation has been reported for larger chemical systems. In part, this can be attributed to the ongoing controversy concerning the mathematical structure of the eigenfunctions.…”

Section: D Chemistrymentioning

confidence: 99%

Chemistry in one dimension

Loos

Ball

Gill

2015

Phys. Chem. Chem. Phys.

View full text Add to dashboard Cite

We report benchmark results for one-dimensional (1D) atomic and molecular systems interacting via the Coulomb operator |x| −1 . Using various wavefunction-type approaches, such as Hartree-Fock theory, second-and third-order Møller-Plesset perturbation theory and explicitly correlated calculations, we study the ground state of atoms with up to ten electrons as well as small diatomic and triatomic molecules containing up to two electrons. A detailed analysis of the 1D helium-like ions is given and the expression of the high-density correlation energy is reported. We report the total energies, ionization energies, electron affinities and other interesting properties of the many-electron 1D atoms and, based on these results, we construct the 1D analog of Mendeleev's periodic table. We find that the 1D periodic table contains only two groups: the alkali metals and the noble gases. We also calculate the dissociation curves of various 1D diatomics and study the chemical bond in H + 2 , HeH 2+ , He 3+ 2 , H 2 , HeH + and He 2+ 2 . We find that, unlike their 3D counterparts, 1D molecules are primarily bound by one-electron bonds. Finally, we study the chemistry of H + 3 and we discuss the stability of the 1D polymer resulting from an infinite chain of hydrogen atoms.

show abstract

Section: D Chemistrymentioning

confidence: 99%

Chemistry in one dimension

Loos

Ball

Gill

2015

Phys. Chem. Chem. Phys.

View full text Add to dashboard Cite

show abstract

“…Very recently additional analytic properties of these "quantum shapelets" have been expounded [10]. The one-dimensional Coulomb problem has recently reappeared as a model in quantum computing with electrons on liquid helium films [26,25]. In addition, given the self-reciprocal Fourier transform property of Hermite polynomials, there are several applications in Fourier optics [8,16].…”

Section: Introductionmentioning

confidence: 99%

Theta and Riemann xi function representations from harmonic oscillator eigensolutions

Coffey

2007

Physics Letters A

View full text Add to dashboard Cite

show abstract

“…The idea of a quantum 1 Published in Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics, eds. I. O. Kulik and R. Ellialtioglu (NATO Advanced Study Institute, Turkey, June [13][14][15][16][17][18][19][20][21][22][23][24][25] 1999). …”

mentioning

confidence: 99%

Quantum Computation and Spin Electronics

DiVincenzo

Burkard

Loss

et al. 2000

Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics

View full text Add to dashboard Cite

Abstract. 1 In this chapter we explore the connection between mesoscopic physics and quantum computing. After giving a bibliography providing a general introduction to the subject of quantum information processing, we review the various approaches that are being considered for the experimental implementation of quantum computing and quantum communication in atomic physics, quantum optics, nuclear magnetic resonance, superconductivity, and, especially, normal-electron solid state physics. We discuss five criteria for the realization of a quantum computer and consider the implications that these criteria have for quantum computation using the spin states of single-electron quantum dots. Finally, we consider the transport of quantum information via the motion of individual electrons in mesoscopic structures; specific transport and noise measurements in coupled quantum dot geometries for detecting and characterizing electron-state entanglement are analyzed. Brief Survey of the History of Quantum ComputingThe story of why quantum computing and quantum communication are theoretically interesting and important has been told in innumerable places before, and we will just point the reader to some of those. The "prehistory" of quantum computing (up to 1994) consists of the tinkerings of a small number of visionaries on the question of how data could be processed if bits could be put into quantum superpositions of states. The idea of a quantum 1 Published in Quantum Mesoscopic Phenomena and Mesoscopic Devices in Microelectronics, eds. I. O. Kulik and R. Ellialtioglu (NATO Advanced Study Institute, Turkey, June [13][14][15][16][17][18][19][20][21][22][23][24][25] 1999).

show abstract

Quantum Computing with Electrons Floating on Liquid Helium

Cited by 353 publications

References 13 publications

Chemistry in one dimension

Chemistry in one dimension

Theta and Riemann xi function representations from harmonic oscillator eigensolutions

Quantum Computation and Spin Electronics

Contact Info

Product

Resources

About