Zeeman Effect of Pure NQR in a Rotating Frame (CW and Pulsed Excitation)

Furman, G. B.; Kadzhaya, I. M.

doi:10.1515/zna-1992-1-269

Cited by 3 publications

(8 citation statements)

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“…Lifting of degeneracy is possible by application of a dc magnetic field, which should be of the order of the quadrupole coupling constants and in the range from a few kHz to MHz. Another way to form the non-degenerated states is the application of RF fields, without external magnetic field [25].…”

Section: Energy Spectrum In Rotating Reference Framementioning

confidence: 99%

“…It was shown that a nuclear spin-3/2 can be represented by a two-spin system which is described using the Pauli spin-1/2 matrices 2 × 2 [12][13][14]. It means that a single spin greater than 1 2 is isomorphic to a system consisting of several coupled spins of 1/ 2 [14,15,25]. For example, in [15] the multiple-quantum spin dynamics in systems with spin 1 was studied using the fictitious spins of 1/2, forming the SU(3) group.…”

Section: Introductionmentioning

confidence: 99%

“…Recently the conditions for quantum states of nuclei possessing of quadrupolar moment to be entangled were studied [25]. It was obtained that entanglement can be achieved by applying an external dc magnetic field to the nuclei with spins >1/2, which interact with the electric field gradient (EFG) generated by the charge distribution in their surroundings.…”

Section: Introductionmentioning

confidence: 99%

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Nuclear quadrupole resonance of spin 3/2 and entangled two-qubit states

2015

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A single spin-3 2, possessing a quadrupole moment and placed in a non-uniform electric field, is isomorphic to a system of two spins of 1 2, which can be represented as two qubits. To create these qubits, the degeneracy of the energy levels is removed by applying two radio-frequency fields with different phases and directions. The properties of entanglement between two qubits are studied. We analyze the concurrence, the entropy of entanglement, and fluctuations of the entropy in the pure and mixed states. Concurrence and entropy of entanglement in a mixed state increase with decreasing temperature and approach to their values in a pure state. For a nucleus Cu in high temperature superconductorthe estimation of the temperature, at which entanglement appears, gives  T 0.8 μK.

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Section: Energy Spectrum In Rotating Reference Framementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nuclear quadrupole resonance of spin 3/2 and entangled two-qubit states

2015

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“…In the vicinity of the resonance, we use the approach developed in [12,13], which is based on the unitary transformation defined by the operator U (t) = exp(iDt) with…”

Section: Energy Spectrummentioning

confidence: 99%

Two qubits in pure nuclear quadrupole resonance

Furman¹,

Goren²,

Meerovich³

2002

J. Phys.: Condens. Matter

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It is shown theoretically that by the use of two radio-frequency fields of the same resonance frequency but with the different phases and directions the degeneracy of the energy spectrum of a spin system with I = 3/2 is removed. This leads to four non-degenerate spin states which can be used as a platform for quantum computing. The feasibility of quantum computing based on a pure (without DC magnetic fields) nuclear quadrupole resonance technique is investigated in detail. Various quantum logic gates can be constructed by using different excitation techniques allowing different manipulations with the spin system states. Three realizations of quantum logic gates are considered: the application of an additional magnetic field with the resonance frequency, the amplitude modulation of one of the applied RF fields by the resonance frequency field, and the level-crossing method. It is shown that the probabilities of the resonance transitions depend on the method of excitation and on the direction of the excitation field. Feasibility of quantum computing is demonstrated with the examples of constructing a controlled-NOT logic gate using the resonance excitation technique and SWAP and NOT2 logic gates using the level-crossing method.

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“…and assimilate angles as = sin cos ; sin sin ; cos . In order to correctly taking into account the time dependence terms of the Hamiltonian it proves to be profitable to carry out the unitary transformation [11,12] …”

Section: Zeeman Effect In Rotating Framementioning

confidence: 99%

Pure NQR Quantum Computing

Furman

Goren

2002

Zeitschrift Für Naturforschung A

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It is shown that pure NQR can be utilized as a platform for quantum computing without applying a high external magnetic field. By exciting each resonance transition between quadrupole energy levels with two radio-frequency fields differing in phase and direction, the double degeneracy of the spin energy spectrum in an electric field gradient is removed. As an example, in the case of = 7 2 (nuclei 133 Cs or 123 Sb) the energy spectrum has eight levels which can be used as three qubits.

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Zeeman Effect of Pure NQR in a Rotating Frame (CW and Pulsed Excitation)

Abstract: The Zeeman effect in a rotating frame is considered for the case when the quadrupolar nuclear spin system is acted on by two radio-frequency fields.

Cited by 3 publications

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Nuclear quadrupole resonance of spin 3/2 and entangled two-qubit states

Nuclear quadrupole resonance of spin 3/2 and entangled two-qubit states

Two qubits in pure nuclear quadrupole resonance

Pure NQR Quantum Computing

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