Quantum computer on a class of one-dimensional Ising systems

Berman, G. P.; Doolen, Gary D.; Holm, Darryl D.; Tsifrinovich, V. I.

doi:10.1016/0375-9601(94)90537-1

Cited by 66 publications

(62 citation statements)

References 19 publications

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“…In this case, following [1,2], we propose using an array of ordered non-interacting chains of nuclear spins of diamagnetic atoms, ABCABCABC... Fig. 5.…”

Section: A Nuclear Spin Quantum Computer Not Requiring a Single-spmentioning

confidence: 99%

“…One-qubit rotations and two-qubit quantum logic gates can be implemented in this chain using resonant pulses which induce transitions between the energy levels of the system. The "natural" implementation of this idea is an Ising spin quantum computer which contains a chain of 1/2 spins placed in a permanent magnetic field and interacting through a weak Ising interaction [2]. It has been realized that quantum computation is possible even for an ensemble of Ising spin chains at temperatures which are much higher than the energy spacing between two stationary states of a spin [3]- [5].…”

Section: Introductionmentioning

confidence: 99%

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Solid-state nuclear-spin quantum computer based on magnetic resonance force microscopy

et al. 2000

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We propose a nuclear spin quantum computer based on magnetic resonance force microscopy (MRFM). It is shown that an MRFM single-electron spin measurement provides three essetial requirements for quantum computation in solids: (a) preparation of the ground state, (b) one-and two-qubit quantum logic gates, and (c) a measurement of the final state. The proposed quantum computer can operate at temperatures up to 1K.

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“…In this case, following [1,2], we propose using an array of ordered non-interacting chains of nuclear spins of diamagnetic atoms, ABCABCABC... Fig. 5.…”

Section: A Nuclear Spin Quantum Computer Not Requiring a Single-spmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Solid-state nuclear-spin quantum computer based on magnetic resonance force microscopy

et al. 2000

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“…(8). In order to organize, for example, the transition |4 → |6 , associated with the flip of the first (middle) spin, we apply the π pulse [Ωτ = π in Eq.…”

Section: The 2πk-methodsmentioning

confidence: 99%

Method for Implementation of Universal Quantum Logic Gates in a Scalable Ising Spin Quantum Computer

Berman

Kamenev

Kassman

et al. 2003

Int. J. Quantum Inform.

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We present protocols for implementation of universal quantum gates on an arbitrary superposition of quantum states in a scalable solid-state Ising spin quantum computer. The spin chain is composed of identical spins 1/2 with the Ising interaction between the neighboring spins. The selective excitations of the spins are provided by the gradient of the external magnetic field. The protocols are built of rectangular radio-frequency pulses. The phase and probability errors caused by unwanted transitions are minimized and computed numerically.

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“…where S (3), is known to be a universal quantum computer [39,40], model (3) is sufficiently general to serve as a physical model for a generic quantum computer at zero temperature. In terms of spin matrices, the operator Q j measuring the state of qubit j is given by…”

Section: Physical Model Of a Quantum Computermentioning

confidence: 99%