Quantum entanglement of anisotropic magnetic nanodots

Skomski, Ralph; Istomin, Andrei Y.; Starace, Anthony F.; Sellmyer, David J.

doi:10.1103/physreva.70.062307

Cited by 11 publications

(6 citation statements)

References 22 publications

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“…Nanometer size magnetic clusters with high anisotropy have been proposed as qubits 19,20,21 . In this paper, we give a complete discussion of the MC QC including initialization, control and readout schemes.…”

Section: Magnetic Cluster Qcmentioning

confidence: 99%

Theory of Quantum Computation With Magnetic Clusters

Dorroh

Ölmez

Wang

2020

IEEE Trans. Quantum Eng.

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We propose a complete, quantitative quantum computing system that satisfies the five DiVincenzo criteria. The model is based on magnetic clusters with uniaxial anisotropy, where two-state qubits are formed utilizing the two lowest lying states of an anisotropic potential energy. We outline the quantum dynamics required by quantum computing for single-qubit structures, and then define a measurement scheme in which qubit states can be measured by sharp changes in current as voltage across the cluster is varied. We then extend the single-qubit description to multiple qubit interactions, facilitated specifically by an entanglement method that propagates the controlled-not quantum gate.INDEX TERMS Magnetic clusters (MC), quantum computation, quantum engineering.

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Section: Magnetic Cluster Qcmentioning

confidence: 99%

Theory of Quantum Computation With Magnetic Clusters

Dorroh

Ölmez

Wang

2020

IEEE Trans. Quantum Eng.

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“…We consider only two states per dot: The ground-state ͉0͘ and the lowest-lying excited state ͉1͘. As shown elsewhere, 11 higher excitations do not affect the entanglement of the low-lying states. Figure 2 illustrates the physical meaning of the four Schmidt states for the nanodot FM and AFM configurations.…”

Section: ͑2͒mentioning

confidence: 99%

“…The ferromagnetic ground state and the first two excited AFM states are separable, that is, C = 0. Substantial entanglement is encountered in the AFM ground state and between low-lying ferromagnetic excitations 11 . Physically, the transverse components of the interdot exchange give rise to mixing ͑and, hence, entanglement͒ of the states ͉01͘ and ͉10͘ ͑FM͒ and ͉00͘ and ͉11͘ ͑AFM͒.…”

Section: ͑2͒mentioning

confidence: 99%

Magnetic materials for finite-temperature quantum computing

Skomski

Zhou

Istomin

et al. 2005

Journal of Applied Physics

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The potential use of interacting magnetic nanodots for quantum computing ͑qubit͒ operations is investigated by model calculations. The quantum entanglement of the low-lying ferromagnetic states, as quantified by the concurrence, exhibits a resonant peak whose position and width depend on parameters such as dot anisotropy, interdot exchange, and external field gradient. The maximum operation temperature is proportional to the magnetocrystalline anisotropy of the dot material. A specific condition is that the dots are sufficiently small so that the interatomic exchange ensures a coherent magnetization state and quantum coherence at finite temperatures. From a material point of view, there is a quite rigid upper limit of about 100 K, but to avoid decoherence it will be necessary to sacrifice a substantial fraction of this temperature, probably at least one order of magnitude.

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“…The Heisenberg XYZ Hamiltonian for a chain of N spin-½ particles with uniform nearest-neighbor interactions can be written as (1) where S α n = ½ σ α n (α = x, y, z) denotes the αth component of the local spin ½ operator at site n, while σ measurements [13]. Hamiltonians similar to that in equation (1) but involving spin operators where |S| is a large number effectively describe dipolar and RKKY couplings between magnetic nanodots [14,15]. Due to these and other potential applications, considerable attention has been devoted to the investigation of entanglement in systems described by the general Hamiltonian in equation (1).…”

Section: Introductionmentioning

confidence: 99%