Pure NQR Quantum Computing

Furman, G. B.; Goren, S. D.

doi:10.1515/zna-2002-6-705

Cited by 16 publications

(4 citation statements)

References 9 publications

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“…In contrast, one quadrupolar nucleus can be encoded as more than one qubit due to its multi-level property, for example, a spin-3 2 nucleus can be used as a 2-qubit system. At the same time, the quadrupolar coupling as large as several MHz results in a fast control over the system, as well as the possibility to implement quantum information processing without strong external static magnetic fields by the technology of nuclear quadrupolar resonance (NQR) [8,9]. Moreover, the nonlinear Hamiltonian in the quadrupolar nuclei whose spin number > I 1 2 provides a perfect workbench of analog quantum simulation [5] (AQS) for nonlinear quantum systems which are more difficult to be simulated with spin-1 2 nucleus, such as the Bose-Hubbard system (BHS) and quantum chaotic systems.…”

Section: Introductionmentioning

confidence: 99%

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Nie

Cui

et al. 2015

New J. Phys.

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The Bose-Hubbard model provides an excellent platform for exploring exotic quantum coherence. Interaction blockade is an important fundamental phenomenon in the two-site Bose-Hubbard system (BHS), which gives a full quantum description for the atomic Bose-Josephson junction. Using the analogy between the two-site BHS and the quadrupolar nuclear magnetic resonance (NMR) crystal, we experimentally simulate a two-site Bose-Hubbard system in a NMR quantum simulator composed of the quadrupolar spin-3/2 sodium nuclei of a NaNO 3 single crystal, and observe the interesting phenomenon of interaction blockade via adiabatic dynamics control. To our best knowledge, this is the first experimental implementation of the quantum simulation of the interaction blockade using quadrupolar nuclear system. Our work exhibits important applications of quadrupolar NMR in the quantum information science, i.e. a spin-3/2 system can be used as a full 2-qubit su(4) system, if the quadrupole moment is not fully averaged out by fast tumbling in the liquid phase.

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Section: Introductionmentioning

confidence: 99%

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Nie

Cui

et al. 2015

New J. Phys.

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“…The same approach was used to implement the quantum gate using two qubits which are formed on the basis of a single quantum particle with spin 3 2 [23,24] by applying technique of the nuclear magnetic resonance (NMR) with quadrupole splitting [23,24] and pure (without external magnetic fields) nuclear quadrupole resonance (NQR) [25,26,27,28]. This idea was confirmed in NMR experiments [24,28].…”

Section: Introductionmentioning

confidence: 94%

Single-spin entanglement

Furman

Meerovich

2017

Quantum Inf Process

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We show that the operators and the quadrupole and Zeeman Hamiltonians for a spin 3 2 can be represented in terms for a system of two coupling fictitious spins 1 2 using the Kronecker product of Pauli matrices. Particularly, the quadrupole Hamiltonian which describes the interaction of the nuclear quadrupole moment with an electric field gradient is represented as the Hamiltonian of Ising model in a transverse selective magnetic field. The Zeeman Hamiltonian, which describes interaction of the nuclear spin with the external magnetic field, can be considered as the Hamiltonian of the Heisenberg model in a selective magnetic field. The total Hamiltonian can be interpreted as the Hamiltonian of 3D Heisenberg model in an inhomogeneous magnetic field applied along the x-axis. The representation of a single spin 3 2 as two-spin 1 2 system allows us to study entanglement in the spin system. One of the features of the fictitious spin system is that, in both the pure and the mixed states, the concurrence tends to 0.5 with increase of applied magnetic field. The representation of a spin

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“…Systems of quadrupolar nuclei in a non-vanishing electric field gradient (EFG) have been put forward as candidates for the implementation of QIP in NQR experiments. The pioneering proposal was put forward by Furman et al [16,17], who used two RF fields applied in different directions and with different phases to remove the degeneracy of the energy levels in pure NQR. The preparation of PPS and the implementation of simple gates (C-NOT, AND, SWAP) were discussed, but no experimental demonstration of this method (which seems to be hard to implement in terms of instrumentation) has been reported so far.…”

Section: Introductionmentioning

confidence: 99%

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Teles

deAzevedo

Freitas

et al. 2012

Phil. Trans. R. Soc. A.

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Nuclear magnetic resonance is viewed as an important technique for the implementation of many quantum information algorithms and protocols. Although the most straightforward approach is to use the two-level system composed of spin 1 2 nuclei as qubits, quadrupolar nuclei, which possess a spin greater than 1 2 , are being used as an alternative. In this study, we show some unique features of quadrupolar systems for quantum information processing, with an emphasis on the ability to execute efficient quantum state tomography (QST) using only global rotations of the spin system, whose performance is shown in detail. By preparing suitable states and implementing logical operations by numerically optimized pulses together with the QST method, we follow the stepwise execution of Grover's algorithm. We also review some work in the literature concerning the relaxation of pseudo-pure states in spin 3 2 systems as well as its modelling in both the Redfield and Kraus formalisms. These data are used to discuss differences in the behaviour of the quantum correlations observed for two-qubit systems implemented by spin 1 2 and quadrupolar spin 3 2 systems, also presented in the literature. The possibilities and advantages of using nuclear quadrupole resonance experiments for quantum information processing are also discussed.

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Pure NQR Quantum Computing

Cited by 16 publications

References 9 publications

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Single-spin entanglement

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

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