Abstract

We describe the design, commissioning, and operation of an ultra-low-vibration closed-cycle cryogenic ion trap apparatus. One hundred lines for low-frequency signals and eight microwave/radio frequency coaxial feed-lines offer the possibility of implementing a small-scale ion-trap quantum processor or simulator. With all supply cables attached, more than 1.3W of cooling power at 5K is still available for absorbing energy from electrical pulses introduced to control ions. The trap itself is isolated from vibrations induced by the cold head using a helium exchange gas interface. The performance of the vibration isolation system has been characterized using a Michelson interferometer, finding residual vibration amplitudes on the order of 10nm rms. Trapping of 9Be+ ions has been demonstrated using a combination of laser ablation and photoionization.

Highlights

  • 1.1 Quantum computing and quantum simulation with trapped ionsIn 1981, Richard Feynman developed the idea of building a computer that ‘will do exactly the same as nature’ [1], a machine that does not utilize numerical approximations like a classical computer does to simulate quantum physics but quantum mechanics itself

  • With a given gate time, a cryogenic trap can afford to bring the ions closer to the surface than a room temperature trap, which in turn leads to a higher magnetic gradient, which in turn leads to faster gates, which can tolerate a higher heating rate, which can eventually lead to a trap with even further reduced surface to ion distance

  • The cryogenic environment at 5 K creates very low pressure vacuum conditions that are ideal for holding trapped ions undisturbed by background gas collisions

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Summary

Quantum computing and quantum simulation with trapped ions

In 1981, Richard Feynman developed the idea of building a computer that ‘will do exactly the same as nature’ [1], a machine that does not utilize numerical approximations like a classical computer does to simulate quantum physics but quantum mechanics itself. Many technological platforms are under investigation to build a universal quantum computer These include but are not limited to realizing a qubit as a polarization state of a photon, as a nuclear spin-state in molecules, as quantum dots in semiconductors, as quantized superconducting currents and as trapped atoms or ions [7]. The Coulomb interaction couples the motion of the ions and if they are sufficiently cold they can be treated like coupled quantum mechanical harmonic oscillators and they exhibit collective modes of motion as well as modes of motion that only affect certain combinations of ions [11] Simultaneous manipulation of these modes of motion and selected individual qubit states can mediate the controlled exchange of quantum information between two or more qubits and is the base of quantum computing with trapped ions [12]. It has been demonstrated that trapped ions can realize a programmable quantum computer [13] and run the aforementioned Shor algorithm [14] and Grover’s algorithm [15]

Improving the scalability of ion trap based quantum computers
Introduction
Thesis outline
Surface-electrode Paul traps
Integrated microwave control of the ion’s motion
Energy level structure of one beryllium ion in a Paul-trap
Designing a trap with integrated microwave lines that can drive sidebands
Entangling operations between two qubits
Trap design and production for use in a cryogenic environment
Chapter 3 Cryostat design
Advantages of cryogenic ion traps over room temperature traps
Bath cryostat
Flow cryostat
Dilution refrigirator
Closed cycle Gifford-McMahon cooler
Closed cycle pulse tube cooler
Choosing the type of cryocooler
Vibration isolation systems
Choosing between a GM cooler and a pulse tube
Ultra low vibration interface
First version of the cold head mount
Second and current version of the cold head mount
Vibration measurements
Inner vacuum chamber
Materials and outer dimensions
Flanges
Viewports
Inner chamber interior
Vacuum quality in the inner chamber
Radiation shield
Outer vacuum chamber
Thermal design
Heat conduction through residual air in vacuum
Radiative heat load
Heat conduction through electrical wires
Cooling performance
Experiment control setup
Microwave drive electronics
AOM diver electronics
Radio-frequency setup
Determining the resonator’s q-factor
Determining the required rf input power
DC voltage setup
Crygenic filter board
Magnetic field coils
Geometric constrains
Chapter 5 Laser systems
Ablation Laser
Chapter 5. Laser systems
Ionization laser
Doppler cooling laser
Sum-frequency generation of 626 nm light
Second harmonic generation of 313 nm light
Laser frequency stabilization
Trap loading
Properties and aligning of the ablation laser
Properties and aligning of ionization and cooling beams
Trap loading sequence
Schwarzschild objective
Relay optics
First version
Second and current version of the relay optics setup
Proposed future design of the relay optics setup
Detection system
Summary
Findings
Outlook
Full Text
Published version (Free)

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