Modeling Full Adder in Ising Spin Quantum Computer With 1000 Qubits Using Quantum Maps

Kamenev, D. I.; Berman, G. P.; Kassman, R. B.; Tsifrinovich, V. I.

doi:10.1142/s0219749904000304

Cited by 3 publications

(2 citation statements)

References 18 publications

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“…We note that the number of the spin chains R max theoretically is not limited, so that the size of the whole system and the total number of spins can be increased by increasing R. If L ≪ L max the influence of environment is small and one can formulate quantum dynamics in terms of wave function instead of using density matrix. This allows one to consider quantum logic operations with many qubits [23,25,28] and to analytically estimate the influence of other sources of error which, as shown below, can cause a much more profound destructive effect on quantum computation.…”

Section: A Decoherencementioning

confidence: 99%

“…Criterion (iv) is satisfied because our system allows implementations using qubits with long decoherence times. One possible implementation is based on nuclear spins, for example nuclear spins of 31 P [12], 29 Si [13], or Li [14] in 28 Si. Another implementation is based on endohedral fullerenes, 15 N@C 60 and 31 P@C 60 [15], where the fulleren cage provides a good isolation of electron or nuclear spin of the enclosed atom of nitrogen or phosphorus from the environment.…”

Section: Introductionmentioning

confidence: 99%

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Creation of entanglement in a scalable spin quantum computer with long-range dipole-dipole interaction between qubits

2006

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Creation of entanglement is considered theoretically and numerically in an ensemble of spin chains with dipole-dipole interaction between the spins. The unwanted effect of the long-range dipole interaction is compensated by the optimal choice of the parameters of radio-frequency pulses implementing the protocol. The errors caused by ͑i͒ the influence of the environment, ͑ii͒ nonselective excitations, ͑iii͒ influence of different spin chains on each other, ͑iv͒ displacements of qubits from their perfect locations, and ͑v͒ fluctuations of the external magnetic field are estimated analytically and calculated numerically. For the perfectly entangled state the z component M of the magnetization of the whole system is equal to zero. The errors lead to a finite value of M. If the number of qubits in the system is large, M can be detected experimentally. Using the fact that M depends differently on the parameters of the system for each kind of error, varying these parameters would allow one to experimentally determine the most significant source of errors and to optimize correspondingly the quantum computer design in order to decrease the errors and ͉M͉. Using our approach one can benchmark the quantum computer, decrease the errors, and prepare the quantum computer for implementation of more complex quantum algorithms.

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Section: A Decoherencementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Creation of entanglement in a scalable spin quantum computer with long-range dipole-dipole interaction between qubits

2006

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Adder on ternary base elements for a quantum computer

Zobov

Pekhterev

2009

Jetp Lett.

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Implementation of Quantum Logic Operations and Creation of Entanglement Between Two Nuclear Spin Qubits With Constant Interaction

Berman

Brown

Hawley

et al. 2006

Int. J. Quantum Inform.

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We describe how to implement quantum logic operations in a silicon-based quantum computer with phosphorus atoms serving as qubits. The information is stored in the states of nuclear spins and the conditional logic operations are implemented through the electron spins using nuclear–electron hyperfine and electron–electron exchange interactions. The electrons in our computer should stay coherent only during implementation of one Controlled-NOT gate. The exchange interaction is constant, and selective excitations are provided by a magnetic field gradient. The quantum logic operations are implemented by rectangular radio-frequency pulses. This architecture is scalable and does not require manufacturing nanoscale electronic gates. As shown in this paper, parameters of a quantum protocol can be derived analytically even for a computer with a large number of qubits using our perturbation approach. We present the protocol for initialization of the nuclear spins and the protocol for creation of entanglement. All analytical results are tested numerically using a two-qubit system.

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Modeling Full Adder in Ising Spin Quantum Computer With 1000 Qubits Using Quantum Maps

Cited by 3 publications

References 18 publications

Creation of entanglement in a scalable spin quantum computer with long-range dipole-dipole interaction between qubits

Creation of entanglement in a scalable spin quantum computer with long-range dipole-dipole interaction between qubits

Adder on ternary base elements for a quantum computer

Implementation of Quantum Logic Operations and Creation of Entanglement Between Two Nuclear Spin Qubits With Constant Interaction

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