Quantum Computing Using Electrons Floating on Liquid Helium

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

doi:10.1002/3527603182.ch21

Cited by 6 publications

(8 citation statements)

References 29 publications

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“…It can be applied also to two-qubit gate operations in which the frequencies of interacting qubits are swept past each other, leading to excitation transfer [5]. Such operations are complementary to two-qubit phase gates and require a different qubit-qubit interaction.…”

Section: Discussionmentioning

confidence: 99%

“…In this approach the qubit transition frequency ω 0 (t) is swept through the frequency of the resonant field ω F [5]. The change of the qubit state depends on the field strength and the speed at which ω 0 (t) is changed when it goes through resonance [6].…”

Section: Introductionmentioning

confidence: 99%

“…The change of the qubit state depends on the field strength and the speed at which ω 0 (t) is changed when it goes through resonance [6]. The LZT can be used also for a two-qubit operation in which qubit frequencies are swept past each other leading to excitation swap [5,7,8].…”

Section: Introductionmentioning

confidence: 99%

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Fault-tolerant Landau-Zener quantum gates

2006

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We present a method to perform fault-tolerant single-qubit gate operations using Landau-Zener tunneling. In a single Landau-Zener pulse, the qubit transition frequency is varied in time so that it passes through the frequency of the radiation field. We show that a simple three-pulse sequence allows eliminating errors in the gate up to the third order in errors in the qubit energies or the radiation frequency.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fault-tolerant Landau-Zener quantum gates

2006

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“…Thus, they meet some of the key requirements posed by quantum computers [5] and simulators [6]. It has therefore been proposed that Wigner crystals hosted in semiconductor nanostructures [7,8], trapped above the surface of liquid helium [9,10] or composed of trapped ions [11,12] can be utilized for quantum information processing and simulation. In particular, electrons confined to low-dimensional semiconductors [13] may be brought into the low-temperature regime k B T ε F (Fermi energy ε F ) where quantum phenomena occur and spin-exchange interactions can play an important role.…”

Section: Introductionmentioning

confidence: 99%

Wigner crystals in two-dimensional transition-metal dichalcogenides: Spin physics and readout

et al. 2020

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Wigner crystals are prime candidates for the realization of regular electron lattices under minimal requirements on external control and electronics. However, several technical challenges have prevented their detailed experimental investigation and applications to date. We propose an implementation of two-dimensional electron lattices for quantum simulation of Ising spin systems based on self-assembled Wigner crystals in transition-metal dichalcogenides. We show that these semiconductors allow for minimally invasive all-optical detection schemes of charge ordering and total spin. For incident light with optimally chosen beam parameters and polarization, we predict a strong dependence of the transmitted and reflected signals on the underlying lattice periodicity, thus revealing the charge order inherent in Wigner crystals. At the same time, the selection rules in transition-metal dichalcogenides provide direct access to the spin degree of freedom via Faraday rotation measurements.

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“…Refrigeration of arrays of heat-dissipating nanodevices by means of superfluid helium is a particular problem of cryogenics [1] both for cooling nanoelectronic and nanomechanical devices down to millikelvin and sub-millikelvin temperatures, as recently performed in laboratories and in aerospatial cryogenics, and for representing a potential future interest in computer refrigeration, as for instance in quantum computers which require a high extent of quantum coherence of the global wave function for qubits [2][3][4][5][6][7][8][9], achieved at very low temperature.…”

Section: Introductionmentioning

confidence: 99%

Refrigeration of an Array of Cylindrical Nanosystems by Flowing Superfluid Helium

2016

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We consider the refrigeration of an array of heat-dissipating cylindrical nanosystems as a simplified model of computer refrigeration. We explore the use of He II as cooling fluid, taking into account forced convection and heat conduction. The main conceptual and practical difficulties arise in the calculation of the effective thermal conductivity. Since He II does not follow Fourier's law, the effective geometry-dependent conductivity must be extracted from a more general equation for heat transfer. Furthermore, we impose the restrictions that the maximum temperature along the array should be less than T λ transition temperature and that quantum turbulence is avoided, in order not to have too high heat resistance.

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Quantum Computing Using Electrons Floating on Liquid Helium

Cited by 6 publications

References 29 publications

Fault-tolerant Landau-Zener quantum gates

Fault-tolerant Landau-Zener quantum gates

Wigner crystals in two-dimensional transition-metal dichalcogenides: Spin physics and readout

Refrigeration of an Array of Cylindrical Nanosystems by Flowing Superfluid Helium

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