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Conference on Lasers and Electro-Optics

Integrated Fresnel Mirrors for Scalable Trapped Ion Quantum Computing

Erik W. Streed, Moji Ghadimi, Valdis Blūms, B. G. Norton, Paul Connor, Jason Amini, Curtis Volin, Mirko Lobino, D. Kielpinski

Published Jan 1, 2016• 1 citation
Publisher

Abstract

Photonic interconnects are a bottleneck to achieving large-scale trapped ion quantum computing. We fabricated a surface trap with diffractive mirrors and achieved sub-wavelength imaging of a trapped ion and 2.0±0.5% coupling into a single-mode fiber.
DOI
10.1364/cleo_qels.2016.fm2c.2

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This thesis describes the use of diffractive mirrors for efficient collection of photons from an ion in a modern surface Paul trap. Ion light collection is one of the important steps of most of the quantum computing and communication protocols using trapped ions and has a direct effect on the performance of these protocols. This is the first demonstration of an integrated-optic for a surface ion trap and a step towards realizing scalable quantum computing and communication using trapped ions. These mirrors are monolithically integrated onto the ground electrode of the trap. The fabrication of the mirrors has been accomplished by patterning diffraction rings on the silicon dioxide substrate of the trap chip and then coating it with aluminium to form a diffractive mirror integrated onto the electrode. We verified that the altered trap is still functional and demonstrated that thesemirrors substantially increase the efficiency of free space ion light collection and ion light single mode bre coupling. The mirror design is aberration free and we demonstrated this by obtaining near Diffraction-limited images of an ion. To measure the collection efficiency of the diffractive mirrors, we performed a single photon generation protocol based on an optical pumping scheme and one chapter of this thesis describes the implementation of this scheme.
Trapped ion quantum networking aims at distributing quantum information between distant parties. Entanglement links between distant ions are mediated with photonic qubits, necessitating the need for efficient ion-photon interfaces. This thesis reports on progress towards improving the main limitations of creating a practical quantum network by using diffractive optics for high numerical aperture imaging of trapped ions. The diffractive optics are near-planar, patterned structures which are fabricated to collimate a large fraction of ion uorescence, with low aberration, for high resolution imaging. Patterning the central grounding electrode on a chip trap allows the ion to be within less than 100 microns of the surface. Large scale quantum networks will require a large number of ions and ion-photon interfaces. To scale the ion trap system, microfabricated surface traps can be used allowing for the opportunity to etch diffractive mirrors directly onto the trap surface. Collecting ion uorescence with the diffractive mirror, we show the highest ion-single mode optical fibre coupling efficiency, which enhances the entanglement rate of a quantum network. We then build a high resolution UV spectrometer to distinguish between frequency entangled photonic qubits. Frequency qubits offer more robust encoding when compared with polarisation qubits, as a result of energy conservation. Using the spectrometer we demonstrate correlations between the ion's internal state and the frequency state of an entangled photonic qubit. Quantum networks will require local quantum information processing using ion-ion gates to distribute entanglement over the entire network. Typically, the speed of these gates is presently limited to ~10 µs by the secular trap frequency. We demonstrate the first steps towards a fast ion-ion gate, not limited by the secular frequency, based on strong optical forces generated by the coherent, resonant absorption and stimulated emission of light from an ultrafast, pulsed laser. A full-scale quantum network will require many ion trap installations each with their own laser systems. For this challenge we demonstrate simple, robust, and cost-effective methods to lock the 399 nm photoionisation laser, based on polarisation spectroscopy through a hollow cathode lamp, and an opto-mechanical switch which allows locking of multiple lasers to a wavelength meter. Another scalable diffractive optic used is a phase Fresnel lens integrated into a 3D quadrupole ion trap system. The limits of imaging with this lens are tested by demonstrating force sensing at a sub-attoNewton level with super-resolution imaging techniques to find the ion location.
Atomic ions trapped in microfabricated surface traps can be utilized as a physical platform with which to build a quantum computer. They possess many of the desirable characteristics of such a device, including high fidelity state preparation and readout, universal logic gates, and long coherence times, and can be readily entangled with each other through photonic interconnects. The use of optical cavities integrated with trapped ion qubits as a photonic interface presents the possibility for order of magnitude improvements in performance in several key areas for their use in quantum computation. The first part of this thesis describes the design and fabrication of a novel surface trap for integration with an optical cavity. The trap is custom made on a highly reflective mirror surface and includes the capability of moving the ion trap location along all three trap axes with nanometer scale precision. The second part of this thesis demonstrates the suitability of small microcavities formed from laser ablated, fused silica substrates with radii of curvature in the 300-500 micron range for use with the mirror trap as part of an integrated ion trap cavity system. Quantum computing applications for such a system include dramatic improvements in the photon entanglement rate of up to 10 kHz, the qubit measurement time down to 1 microsecond, and the qubit measurement error rate down to the 1e-5 range. The final part of this thesis describes a performance simulator for exploring the physical resource requirements and performance demands to scale a quantum computer to sizes capable of implementing quantum algorithms beyond the limits of classical computation.