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AIP conference proceedings

Modelling of Miniature Ion Traps for Quantum Computing

Boris Brkić

Published Jan 1, 2004• 2 citations
Publisher

Abstract

Ion traps are one of the leading technologies for the implementation of quantum computers in hardware. They are a vacuum technology that captures small number of laser‐cooled ions in a linear trap and uses their quantum states to construct quantum circuits. We present the simulation results for quantum computing in a miniature ion trap in order to investigate electrostatics, ion motion and trapping efficiency for a given electrode geometry.

DOI
10.1063/1.1834405

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IEEE Nanotechnology Magazine•Jun 16, 2022•10 citations
Ion traps are one of the leading technologies for the implementation of quantum computers in hardware. They are a vacuum technology that captures small number of laser‐cooled ions in a linear trap and uses their quantum states to construct quantum circuits. We present the simulation results for quantum computing in a miniature ion trap in order to investigate electrostatics, ion motion and trapping efficiency for a given electrode geometry.
With all the key elements of quantum computing in ion traps demonstrated by the research community, the focus is now placed on building more sophisticated traps with larger numbers of ions to allow practical scale information processing. One promising avenue is to store ions in and shuttle them between many independent traps which serve as potential interaction sites. The core of the work described in this thesis is the experimental evaluation of a microfabricated segmented ion trap, built by Sandia National Laboratories ("Sandia trap"). These experiments required construction of a wholly new optical setup including laser and detection systems, a vacuum system and control electronics. Among our experimental achievements were: successful loading of single and pairs of ions in the microscale trap, measurement of ion storage lifetime, measurement of the motional heating rate with a time-resolved Doppler-cooling method — which showed above than average heating, and implemented a single-ion shuttling method — which reliably transferred the ion through a distance of 360 μm (two DC electrode widths away) and back. These results have been used to improve the next version of the Sandia trap design. We also used computer modelling to study several aspects of ion traps: a mesoscopic ion trap designed for fast ion separation, simulated ion loading to quantify requirements for successful trapping in small and shallow traps, and analyzed a precise shuttling method — where the time dependence of the trapping potential is engineered such that there is minimal motional heating. The results show that ion trap arrays at the 100 μm distance scale are feasible and suggests that such multiple trap designs merit further study.
Over the past 15 years ion traps have demonstrated all the building blocks required of a quantum computer. Despite this success, trapping ions remains a challenging task, with the requirement for extensive laser systems and vacuum systems to perform operations on only a handful of qubits. To scale these proof of principle experiments into something that can outperform a classical computer requires an advancement in the trap technologies that will allow multiple trapping zones, junctions and utilize scalable fabrication technologies. I will discuss the construction of an ion trapping experiment, focussing on my work towards the laser stabilization and ion trap design but also covering the experimental setup as a whole. The vacuum system that I designed allows the mounting and testing of a variety of ion trap chips, with versatile optical access and a fast turn around time. I will also present the design and fabrication of a microfabricated Y junction and a 2- dimensional ion trap lattice. I achieve a suppression of barrier height and small variation of secular frequency through the Y junction, aiding to the junctions applicability to adiabatic shuttling operations. I also report the design and fabrication of a 2-D ion trap lattice. Such structures have been proposed as a means to implement quantum simulators and to my knowledge is the first microfabricated lattice trap. Electrical testing of the trap structures was undertaken to investigate the breakdown voltage of microfabricated structures with both static and radio frequency voltages. The results from these tests negate the concern over reduced rf voltage breakdown and in fact demonstrates breakdown voltages significantly above that typically required for ion trapping. This may allow ion traps to be designed to operate with higher voltages and greater ion-electrode separations, reducing anomalous heating. Lastly I present my work towards the implementation of magnetic fields gradients and microwaves on chip. This may allow coupling of the ions internal state to its motion using microwaves, thus reducing the requirements for the use of laser systems.
The coupling of a single ion to an optical cavity is a promising route towards scalable quantum technologies. This study presents the design, initial construction and simulations of two different ion traps for quantum computation with novel capabilities. The first system is an end cap system that utilises Fabry Perot cavities formed by the facets of fibres. The small mode volumes (cavity length ~ 300 µm) of the fibre cavities are ideal to achieve high cooperativity and coupling strength. This trap features the novel ability to mechanically adjust the position of the ion by perturbing/distorting the trapping potential with grounded side electrodes. A capability crucial to maximising the ion-cavity coupling. The design incorporates a number of improvements over the previous iteration by Takahashi et al. such as increased optical access, increased mode matching and improved mechanical stability of the cavity. To verify and test the design modifications; Pound-Drever-Hall cavity locking was set up. The test set up failed to lock to an error signal due to a mechanically unstable translation stage. The other design presented is a linear micro trap intended to trap strings of ions and does not use fibre based cavities. This design features multiple different regions reserved for storage, computation and communication and aims to implement a shuttling scheme that will allow the selective loading of single ions from a reservoir of ions into the desired regions. The fabrication process would utilise methods in microfabrication. Simulations of the trapping dynamics were used to optimise the electrode geometries and splitting protocol.
The prospect of building a quantum information processor underlies many recent advances ion trap fabrication techniques. Potentially, a quantum computer could be constructed from a large array of interconnected ion traps. We report on a micrometer-scale ion trap, fabricated from bulk silicon using micro-electromechanical systems (MEMS) techniques. The trap geometry is relatively simple in that the electrodes lie in a single plane beneath the ions. In such a trap we confine laser-cooled 24Mg+ ions approximately 40 microns above the surface. The fabrication technique and planar electrode geometry together make this approach amenable to scaling up to large trap arrays. In addition we observe that little laser cooling light is scattered by the electrodes.
An array of trapped atomic ions that are laser cooled and isolated in an ultrahigh-vacuum environment presents one of the most advanced physical platforms for realizing a practical quantum computer. Small-scale ion quantum computers up to tens of ions have been built and achieved the highest fidelities on elementary quantum operations and overall quantum volume (QV). This article provides an overview of the elements of trapped-ion quantum computing (TIQC), current achievements in the field, and future perspectives.