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arXiv:0901.0533 · Physical Review Letters

High-Fidelity Transport of Trapped-Ion Qubits through an X -Junction Trap Array

R. B. Blakestad, C. Ospelkaus, Aaron P. VanDevender, Jason Amini, J. Britton, Dietrich G. Leibfried, David J. Wineland

Published Apr 16, 2009• 167 citations
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Abstract

We report reliable transport of (9)Be(+) ions through an "X junction" in a 2D trap array that includes a separate loading and reservoir zone. During transport the ion's kinetic energy in its local well increases by only a few motional quanta and internal-state coherences are preserved. We also examine two sources of energy gain during transport: a particular radio-frequency noise heating mechanism and digital sampling noise. Such studies are important to achieve scaling in a trapped-ion quantum information processor.

DOI
10.1103/physrevlett.102.153002

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We report reliable transport of (9)Be(+) ions through an "X junction" in a 2D trap array that includes a separate loading and reservoir zone. During transport the ion's kinetic energy in its local well increases by only a few motional quanta and internal-state coherences are preserved. We also examine two sources of energy gain during transport: a particular radio-frequency noise heating mechanism and digital sampling noise. Such studies are important to achieve scaling in a trapped-ion quantum information processor.
We have demonstrated transport of 9{}^{9}9Be+{}^{+}+ions through a two-dimensional Paul-trap array that incorporates an X junction, while maintaining the ions near the motional ground state of the confining potential well. We expand on the first report of the experiment in Blakestad et al. [Phys. Rev. Lett. 102, 153002 (2009)], including a detailed discussion of how the transport potentials were calculated. Two main mechanisms that caused motional excitation during transport are explained, along with the methods used to mitigate such excitation. We reduced the motional excitation below the results in the above reference by a factor of approximately 50. The effect of a mu-metal shield on qubit coherence is also reported. Finally, we examined a method for exchanging energy between multiple motional modes on the few-quanta level, which could be useful for cooling motional modes without directly accessing the modes with lasers. These results establish how trapped ions can be transported in a large-scale quantum processor with high fidelity.
Scaling quantum information processors is a challenging task, requiring manipulation of a large number of qubits with high fidelity and a high degree of connectivity. For trapped ions, this can be realized in a 2D array of interconnected traps in which ions are separated, transported, and recombined to carry out quantum operations on small subsets of ions. Here, functionality of a junction connecting orthogonal linear segments in a 2D trap array to reorder a two-ion crystal is demonstrated. The secular motion of the ions experiences low energy gain and the internal qubit levels maintain coherence during the reordering process, therefore demonstrating a promising method for providing all-to-all connectivity in a large-scale, 2D or 3D trapped-ion quantum information processor.
We investigate the dynamics of single and multiple ions during transport between and separation into spatially distinct locations in a multizone linear Paul trap. A single 9Be+^{9}\mathrm{Be}^{+}9Be+ ion in a $\ensuremath{\sim}2\text{ }\text{ }\mathrm{MHz}$ harmonic well was transported $370\text{ }\text{ }\ensuremath{\mu}\mathrm{m}$ in $8\text{ }\text{ }\ensuremath{\mu}\mathrm{s}$, corresponding to 16 periods of oscillation, with a gain of 0.1 motional quanta. Similar results were achieved for the transport of two ions. We also separated chains of up to 9 ions from one potential well to two distinct potential wells. With two ions this was accomplished in $55\text{ }\text{ }\ensuremath{\mu}\mathrm{s}$, with excitations of approximately two quanta for each ion. Fast transport and separation can significantly reduce the time overhead in certain architectures for scalable quantum information processing with trapped ions.
Quantum information processors are predicted to enable a significant speedup in solving certain classes of problems compared to their classical counterparts. For one scheme of a processor implementation, required elements include qubits with long coherence times, laser-induced universal gates, information transport, and motional-state initialization using a second coolant ion species. Techniques described in this thesis include the use of a multiple electrode segmented trap, wherein information transport is achieved through the transport of qubit ions between spatially distinct locations. While experiment timescales had previously been dominated by ion transport and re-cooling of motional states, I have achieved transport and separation of qubit ions on timescales comparable to quantum logic gates. This work has been extended to achieve fast transport of qubit and coolant two-species ion chains. The developed techniques for ion transport result in low motional excitations, reducing the need for re-initialization of ion motional states. This can enable significant improvement in the operation time of an ion-based quantum information processor.
We report the design, fabrication and characterization of a microfabricated surface-electrode ion trap that supports controlled transport through the two-dimensional intersection of linear trapping zones arranged in a 90° cross. The trap is fabricated with very large scalable integration techniques which are compatible with scaling to a large quantum information processor. The shape of the radio-frequency electrodes is optimized with a genetic algorithm to reduce axial pseudopotential barriers and minimize ion heating during transport. Seventy-eight independent dc control electrodes enable fine control of the trapping potentials. We demonstrate reliable ion transport between junction legs and determine the rate of ion loss due to transport. Doppler-cooled ions survive more than 10 5 round-trip transits between junction legs without loss and more than 65 consecutive round trips without laser cooling.