Implementation of local and high-fidelity quantum conditional phase gates in a scalable two-dimensional ion trap

Zou, Ping; Xu, Jian; Song, Wei; Zhu, Shi-Liang

doi:10.1016/j.physleta.2010.01.035

Cited by 9 publications

(10 citation statements)

References 36 publications

(51 reference statements)

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“…We find this procedure always guarantees that we find a local minimum that looks like a triangular lattice in the center, just as is found in experiment but has an elliptical boundary which is shaped by the equipotential of the effective trapping potential (this approach appears to be similar to that in Ref. 16, but we use a different potential by including the rotating wall, while it is different from the approach used in Ref. 17).…”

Section: B Equilibrium Configurationssupporting

confidence: 56%

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Phonon-mediated quantum spin simulator employing a planar ionic crystal in a Penning trap

2013

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We derive the normal modes for a rotating Coulomb ion crystal in a Penning trap, quantize the motional degrees of freedom, and illustrate how they can by driven by a spin-dependent optical dipole force to create a quantum spin simulator on a triangular lattice with hundreds of spins. The analysis for the axial modes (oscillations perpendicular to the two-dimensional crystal plane) follow a standard normal-mode analysis, while the remaining planar modes are more complicated to analyze because they have velocity-dependent forces in the rotating frame. After quantizing the normal modes into phonons, we illustrate some of the different spin-spin interactions that can be generated by entangling the motional degrees of freedom with the spin degrees of freedom via a spindependent optical dipole force. In addition to the well-known power-law dependence of the spin-spin interactions when driving the axial modes blue of phonon band, we notice certain parameter regimes in which the level of frustration between the spins can be engineered by driving the axial or planar phonon modes at different energies. These systems may allow for the analog simulation of quantum spin glasses with large numbers of spins.

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Section: B Equilibrium Configurationssupporting

confidence: 56%

“…We then quantize these phonons and show how they can be used with a spin-dependent optical dipole force to generate effective spin-spin interactions. Recently, others have shown how to find equilibrium positions for similar trapping potentials [16], and have evaluated the phonon spectra using different methods from the ones we employ [17].…”

Section: Introductionmentioning

confidence: 99%

Phonon-mediated quantum spin simulator employing a planar ionic crystal in a Penning trap

2013

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“…Lowering the axial frequency and addressing the radial modes has been used to manipulate large numbers of ions in a single trap [56]. The anharmonic trap in [55] provides stable confinement for many ions, and fast gates have also been proposed for a 2D architecture using controllable continuous pulse segments [57]. While our pulsed gate analysis could be extended to this architecture, we focus here on standard linear traps.…”

Section: Gate Scalingmentioning

confidence: 99%

Trapped ion scaling with pulsed fast gates

2015

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Fast entangling gates for trapped ion pairs offer vastly improved gate operation times relative to implemented gates, as well as approaches to trap scaling. Gates on a neighbouring ion pair only involve local ions when performed sufficiently fast, and we find that even a fast gate between a pair of distant ions with few degrees of freedom restores all the motional modes given more stringent gate speed conditions. We compare pulsed fast gate schemes, defined by a timescale faster than the trap period, and find that our proposed scheme has less stringent requirements on laser repetition rate for achieving arbitrary gate time targets and infidelities well below 10 −4 . By extending gate schemes to ion crystals, we explore the effect of ion number on gate fidelity for coupling two neighbouring ions in large crystals. Inter-ion distance determines the gate time, and a factor of five increase in repetition rate, or correspondingly the laser power, reduces the infidelity by almost two orders of magnitude. We also apply our fast gate scheme to entangle the first and last ions in a crystal. As the number of ions in the crystal increases, significant increases in the laser power are required to provide the short gate times corresponding to fidelity above 0.99.

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“…Dynamic ion positions. Adding Coulomb interactions back, the static equilibrium positions can be found by minimizing the total pseudopotential [25,41], or use molecular dynamics simulation with added dissipation, which imitates the cooling process in experiment [42,43]. In our numerical simulation, we start with N = 127 ions forming equilateral triangles in a 2D hexagonal structure.…”

Section: Resultsmentioning

confidence: 99%

“…This makes 2D or 3D ion crystals especially desirable for scalable quantum computation. Various 2D architectures have been proposed, including microtrap arrays [23], Penning traps [16,[24][25][26], and multizone trap arrays [27,28]. However, the ion separation distance in microtraps and penning traps is typically too large for fast quantum gates since the effective ion-qubit interaction scales down rapidly with the distance.…”

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confidence: 99%

Quantum Computation under Micromotion in a Planar Ion Crystal

Wang

Shen

Duan

2015

Sci Rep

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We propose a scheme to realize scalable quantum computation in a planar ion crystal confined by a Paul trap. We show that the inevitable in-plane micromotion affects the gate design via three separate effects: renormalization of the equilibrium positions, coupling to the transverse motional modes, and amplitude modulation in the addressing beam. We demonstrate that all of these effects can be taken into account and high-fidelity gates are possible in the presence of micromotion. This proposal opens the prospect to realize large-scale fault-tolerant quantum computation within a single Paul trap.

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Implementation of local and high-fidelity quantum conditional phase gates in a scalable two-dimensional ion trap

Cited by 9 publications

References 36 publications

Phonon-mediated quantum spin simulator employing a planar ionic crystal in a Penning trap

Phonon-mediated quantum spin simulator employing a planar ionic crystal in a Penning trap

Trapped ion scaling with pulsed fast gates

Quantum Computation under Micromotion in a Planar Ion Crystal

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