Quantum computer using a trapped-ion spin molecule and microwave radiation

Hugh, D. Mc; Twamley, J.

doi:10.1103/physreva.71.012315

Cited by 43 publications

(20 citation statements)

References 32 publications

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“…nuclear and electronic) of each single ion, or the collective entanglement of the spins of two ions or Rydberg atoms. Therefore, two potential candidates to observe the phase effects predicted in this letter are for instance trapped ions in inhomogeneous magnetic fields 28,29 and Rydberg atoms in ponderomotive optical lattices. 30 Novel developments in quantum information processing based on quantum dots and superconducting qubits could also have suitable parameters to observe these effects.…”

Section: Resultsmentioning

confidence: 97%

Collapse and revival of entanglement of two interacting qubits

Malinovsky¹,

Solá

2006

SPIE Proceedings

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Coherent control of quantum dynamics by phase-manipulation of the driving fields, has long been established as an essential tool for state-selective preparation of systems. On the other hand, the basic manipulations of qubits in most physical realizations of quantum-computation devices use Rabi pulses that operate on the Bloch sphere, particularly for weakly-coupled, slow-decoherent systems. In this work we analyze the role of phase-control and phase-dependence of Rabi pulses that prepare Bell states in a system of distinguishable qubits interacting in a harmonic trap. We show that the population dynamics and the properties of the entanglement exhibit a strong dependence to the relative phase. For coherent phonon distributions, collapse and full revival of entanglement occur, while for thermal distributions, except for a few "protected" phases, decoherence with partial revivals are observed.

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Section: Resultsmentioning

confidence: 97%

Collapse and revival of entanglement of two interacting qubits

Malinovsky¹,

Solá

2006

SPIE Proceedings

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“…Doppler cooled ions held in a segmented ion trap [21,22] and exposed to a magnetic field gradient realize effective spin-1/2 models [15,[23][24][25][26][27]. The effective spin-spin interactions induced by the magnetic field are of Ising type and can be adjusted by tailoring the axial trapping potential.…”

Section: Systemmentioning

confidence: 99%

Adiabatic quantum simulation with a segmented ion trap: Application to long-distance entanglement in quantum spin systems

et al. 2014

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We investigate theoretically systems of ions in segmented linear Paul traps for the quantum simulation of quantum spin models with tunable interactions. The scheme is entirely general and can be applied to the realization of arbitrary spin-spin interactions. As a specific application we discuss in detail the quantum simulation of models that exhibit long-distance entanglement in the ground state. We show how tailoring of the axial trapping potential allows for generating spin-spin coupling patterns that are suitable to create long-distance entanglement. We discuss how suitable sequences of microwave pulses can implement Trotter expansions and realize various kinds of effective spin-spin interactions. The corresponding Hamiltonians can be varied on adjustable time scales, thereby allowing the controlled adiabatic preparation of their ground states

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“…Another variable to be considered is the gap between the outer polygon in the array to the edge of the rf electrode, g. This can be used to alter the homogeneity of the individual trapping sites within the array. In general a non-homogeneous system results in spin dependent coupling rates which are a function of the lattice site, posing a significant problem for the scalability of such an array [29].…”

Section: Two-dimensional Ion Trap Lattice Geometrymentioning

confidence: 99%

Optimization of two-dimensional ion trap arrays for quantum simulation

et al. 2012

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The optimization of two-dimensional (2D) lattice ion trap geometries for trapped ion quantum simulation is investigated. The geometry is optimized for the highest ratio of ion-ion interaction rate to decoherence rate. To calculate the electric field of such array geometries a numerical simulation based on a 'Biot-Savart like law' method is used. In this article we will focus on square, hexagonal and centre rectangular lattices for optimization. A method for maximizing the homogeneity of trapping site properties over an array is presented for arrays of a range of sizes. We show how both the polygon radii and separations scale to optimize the ratio between the interaction and decoherence rate. The optimal polygon radius and separation for a 2D lattice is found to be a function of the ratio between radio-frequency (rf) voltage and drive frequency applied to the array. We then provide a case study for 171 Yb + ions to show how a 2D quantum simulator array could be designed.

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Quantum computer using a trapped-ion spin molecule and microwave radiation

Cited by 43 publications

References 32 publications

Collapse and revival of entanglement of two interacting qubits

Collapse and revival of entanglement of two interacting qubits

Adiabatic quantum simulation with a segmented ion trap: Application to long-distance entanglement in quantum spin systems

Optimization of two-dimensional ion trap arrays for quantum simulation

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