W. Abur, MA diss., Melbourne, Victoria University, 2018, p. 1, http://vuir.vu.edu.au/id/eprint/36189, (accessed 30 April 2019).
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High-fidelity, near-field microwave gates in a cryogenic surface trap marius weber 2022.
Implementation of Mølmer-Sørensen two-qubit gates on 43 Ca + hyperfine clock qubits in a cryogenic (≈25K) surface trap, driven by near-field microwaves. We achieve gate durations of 154µs (with 1.0(2)% error) and 331µs (0.5(1)% error), which approaches the performance of typical laser-driven gates. In the 331µs gate, we demonstrate a new Walsh-modulated dynamical decoupling scheme which suppresses errors due to fluctuations in the qubit frequency as well as imperfections in the decoupling drive itself. Development of an ion transport toolbox, with demonstrations of splitting and merging operations in two different traps.
Implementation of a complete protocol for device-independent quantum key distribution over a quantum network link, resulting in the generation of a 95884-bit shared private key, after 8.5 hours of run time. This is enabled by the high-rate (100s -1 ), high-fidelity [96.0(1)%] generation of Bell states between remote trapped-ion qubits, yielding a detection-loophole-free CHSH inequality violation of 2.677(6) and quantum bit error rate of 1.44(2)%, both of which are stable during the generation of millions of Bell pairs. We also introduce a versatile method for micromotion compensation using time-stamped photon detection; we achieve a sensitivity to stray electric fields of 0.1 Vm -1 /\(\sqrt{\rm Hz}\).
Demonstration of entanglement-enhanced frequency comparison of two optical atomic clocks based on the 674nm quadrupole transition of 88 Sr + ions, which are linked by a quantum-optical fibre link (\(\approx 2\)m long). We show that the use of an entangled state reduces the measurement uncertainty by nearly \(\sqrt{2}\), the value expected for the Heisenberg Limit. Today's optical clocks are typically limited by dephasing of the probe laser; in this regime, we find that entanglement yields a factor 2 reduction in the measurement uncertainty compared to conventional correlation spectroscopy techniques. We demonstrate this enhancement for the measurement of a frequency shift applied to one of the clocks.
Development of single and two-qubit operations for a new hyperfine atomic clock qubit, operating at 28.8mT in 43 Ca + , in a cryogenic surface-electrode trap. A single ion is laser-cooled to 0.5mK, close to the Doppler limit, by exploiting two-photon dark resonances that form between fine-structure levels. Resolved-sideband cooling on a Raman transition is used to cool the two-ion radial motional mode to an average occupation number \(\bar{n}=0.08\) . Spin-motion entanglement driven by near-field microwaves is used to diagnose the Mølmer–Sørensen interaction. Initial two-qubit gate attempts give a fidelity 0.77(2).
Characterisation of the memory performance of a 43 Ca + clock qubit: randomised benchmarking is used to directly measure errors as small as 1.2(7) × 10 −6 after a storage time of 1 ms. The memory error remains < 10 −4 for up to 50 ms with no additional dynamical decoupling, or < 10 −3 for up to 2 seconds with a simple CPMG sequence. Comparison of different implementations of mixed-element two-qubit gates on a 43 Ca + - 88 Sr + crystal: a light-shift gate with a fidelity of 99.8(1)% or 99.7(1)%, measured using partial state tomography or interleaved randomised benchmarking respectively, and several varieties of Mølmer–Sørensen gates with measured fidelities of up to 99.6(2)%.
High-fidelity mixed-species quantum logic gates between 43 Ca + and 88 Sr + ground-level qubits. Demonstration of a Ca-Sr logic gate, using a single 402nm laser system tuned midway between S-P dipole transitions of these two species, and characterization of the gate by several methods (Bell state tomography, process tomography and randomized benchmarking). An entangled state fidelity of up to 99.8% is achieved, comparable to that of the best same-species gates. A same-species Sr-Sr gate is also demonstrated, using the 674nm S-D quadrupole transition, with fidelity 96%.
Design and characterization of our first cryogenic ion trap apparatus. Design of UHV system for both room temperature and cryogenic (LHe) operation using a flow cryostat. Description of new chip trap design for microwave-driven high-fidelity entangling gates, using a novel electrode layout for passive field nulling. Development of a wafer-scale chip fabrication process and eutectic chip bonding technique. Preliminary study of ion loading rates. Initial characterization of microwave field distribution above the chip using a single calcium-43 ion.
Construction of our first quantum networking experiment. Demonstration of high-rate, high-fidelity remote entanglement of two 88 Sr + ions, trapped in two separate vacuum systems "Alice" and "Bob", connected by a 4m-long quantum-optical fibre link (qubit separation ~2m as the crow flies). Achievement of heralded entanglement with fidelity 94% at an average rate of 182 Bell pairs per second (success probability 0.022%). Generation of single-ion/single-photon entanglement with fidelity 97.9% at a rate of 5700 events per second.
Fast entangling gates using amplitude-shaped pulses on 43 Ca + , reaching a fidelity of 99.8% in 1.6µs and 60% in 480ns. Bell test experiment on 43 Ca + - 40 Ca + mixed-species crystal and demonstration of mixed species entangling gate on 88 Sr + - 43 Ca + .
Direct measurement of qubit memory errors in a calcium-43 "atomic clock" qubit. Randomized memory benchmarking is used to measure the memory error of a single qubit down to the few 10 -6 level. The error is found to remain below the 10 -3 level for up to 400ms. Surface trap designs for near-field microwave-driven two-qubit gates are explored.
Experimental implementation of a microwave-driven two-qubit quantum logic gate in a room-temperature microfabricated surface ion trap. The gate scheme involves dynamical decoupling methods, which stabilise the qubits against fluctuations of the motional mode frequency and fluctuating energy shifts, and avoid the need to null the microwave field. The gate is applied directly to hyperfine "atomic clock" qubits in 43 Ca + using the near-field microwave magnetic field gradient produced by an integrated trap electrode. The achieved gate fidelity is 99.7(1)%, after accounting for state preparation and measurement errors.
Demonstration of high-fidelity spatial and polarization addressing of trapped-ion "atomic clock" memory qubits using near-field microwaves. Addressing is performed by interfering fields from integrated microwave electrodes to address a chosen trap zone whilst nulling crosstalk fields in the neighbour zone. Design of a next-generation ion trap which can perform near-field microwave addressing in a quantum CCD architecture without the need for nulling fields. Demonstration of a prototype micro-fabricated loop antenna for microwave characterization of chip ion traps.
Modelling temperature and fluorescence of a trapped ion using the optical Bloch equations. Development of efficient simulations that solve the time-dependent and time-independent problems for systems with large numbers of states. Introduction of a routine designed to model the approach to the steady state. Analysis of Doppler cooling incorporating motion of a trapped ion and the effects of repumping from a D state. Development of cooling schemes for 43 Ca + at 146G and comparison with experiment. Demonstration of Doppler cooling below the Doppler limit for this isotope. Analysis of resonant effects in systems with more than three levels and comparison with experiment.
Design of a new linear 'blade' trap, with improved optical access. Review of linear Paul trap theory. Discussion of axial micromotion and its use for ion addressing. Numerical simulations of trap fields. Technical drawings of trap components.
High-fidelity single- and two-qubit laser-driven logic gates in 43 Ca + hyperfine qubits. Theoretical and experimental study of speed/fidelity trade-off for two-qubit gates. Achievement of single-qubit gate fidelities above 99.99%, and two-qubit gate fidelities ranging between 97.1(2)% (for a gate time of 3.8µs) and 99.9(1)% (at 100µs), after accounting for single-qubit operation and readout errors (each at the 0.1% level). Demonstration of a mixed-species ( 43 Ca + and 40 Ca + ) entangling gate with a fidelity of 99.8(5)%.
Development of an intermediate magnetic field "atomic clock" qubit in 43 Ca + at 146G and high-fidelity techniques to manipulate this qubit using microwaves and lasers in a microfabricated surface-electrode ion trap. Randomized benchmarking of a single qubit. Work towards microwave-driven two-qubit gates including a theoretical analysis of likely sources of experimental error.
Assembly and testing of a microstructured 3D ion trap. Background-free detection and read-out of trapped ions. Raman laser system consisting of two injection-locked frequency-doubled lasers. Ground-state cooling and coherent manipulation of a mixed-species crystal in a macroscopic ion trap.
Design, fabrication and testing of microfabricated surface-electrode ion traps. Pulsed laser cleaning of ion traps to reduce anomalous heating. An intermediate-field hyperfine "atomic clock" qubit in 43 Ca + . Design, construction and testing of an ion trap incorporating microwave resonators for microwave-driven quantum logic gates.
High-fidelity readout of trapped ion qubits. Demonstration of time-arrival resolved discrimination of ion states (TARDIS) with a photomultiplier detector to perform single-shot readout of a single 40 Ca + optical qubit with 99.991(1)% fidelity. Replacing the photomultipler by an electron-multiplying CCD camera, the TARDIS method allows discrimination in both spatial and temporal dimensions, enabling achievement of the same 99.99% readout fidelity for a 4-ion "qunybble", despite 4% optical cross-talk between neighbouring ions.
Segmented ion trap modelling; measurement-selected ensembles (weak measurement); operation of planar and 7-electrode traps; implementation of a qubit in D5/2 state of 40Ca; partial collapse and `uncollapse' experiments.
Rate equations programs for simulation of 43 Ca + ; comparison with experiment and Bloch equations. Simulation and optimisation of a robust, high-fidelity readout method from 43Ca+; experimental implementation. Attempted two-qubit gate with 40 Ca + and 43 Ca + mixed crystal; problems with crystallisation; electrode noise; measurement of heating rate, motional decoherence and "Schrodinger Cat" states. Derivation of Uhrig Dynamical Decoupling (UDD); review of the literature; experimental implementation of UDD and CPMG on 43 Ca + hyperfine ground-state qubits.
Numerical modelling of multiple-electrode traps. Ion shuttling and loading theory. Set-up of apparatus (including vacuum system, lasers and optics and control electronics) for trapping and experimenting with microfabricated "Sandia trap". Detailed evaluation of "Sandia trap": loading and micro-motion compensation; measurement of ion lifetime, motional frequency and heating rate; demonstration of ion shuttling.
Design and construction of various experimental apparatus: Laser Control Unit for precise pulse timing; master-slave 398nm laser system for Raman transitions in the hyperfine ground states of 43 Ca + ; KILL-110 system for PDH locking of lasers to optical cavities. Investigation of magnetic field fluctuations, using microwaves and 43 Ca + hyperfine states; Spicer SC20 field cancelling system tested. Demonstration of long T2 coherence time of 43 Ca + hyperfine clock state qubit.
Careful study of sideband cooling and temperature diagnostics for one and two ions. Motional coherence measurements. Coherent manipulation of two ions. Spin state tomography for two ions. Quantum logic gate by oscillating force; deterministic entanglement. For electrode configurations for trap arrays, see Home and Steane paper, 2006.
Photoionisation, Rabi/Ramsay experiments on single spin qubits by magnetic resonance and stimulated Raman transitions, continuous Raman sideband cooling using bright/dark resonance, pulsed Raman sideband cooling to the motional ground state, temperature diagnostics for 1 and 2 ions, rate equations for Ca-43.
MOPA 397 laser system, servo theory, Pound-Drever-Hall (and other) locking, optical Bloch equations, dark resonance fits, dark resonance cooling/heating, spin state readout: various methods, EIT method proposed and implemented.
Reference cavities, improved photon counting, photon arrival time correlation method for micromotion compensation, new 850 laser, AOM optics, r.f. study towards helical resonator, magnetic field coils, dark resonances, isotope-selective photoionisation in detail.
Survey of ion/laser coupling theory, theoretical study of "pushing" gate method.
Some space charge ideas, general apparatus development, imaging, spectroscopy of blue laser diodes, field compensation drift, precise D 5/2 lifetime measurement, upper bound on 2- and 3-ion quantum jump correlations and statistical analysis.
Construction from scratch of our first ion trap, some Mathieu equation and Doppler cooling theory, optogalvanic spectroscopy, frequency doubling, observations of crystals and quantum jumps, first look at D 5/2 lifetime measurement.
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Demonstration of Doppler cooling below the Doppler limit for this isotope. Analysis of resonant effects in systems with more than three levels and comparison with experiment. Linear Paul trap design for high-fidelity, scalable quantum information processing Sarah Woodrow (M.Sc. Thesis), 2015
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