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Sebastien Bourdeauducq 2020-12-08 17:19:02 +08:00
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\pagestyle{fancy}
\pagenumbering{gobble}
\title{Cheko: high-density electrode driver for scalable ion-trap quantum computing}
\date{December 7, 2020}
\date{December 8, 2020}
\begin{document}
\maketitle
@ -35,12 +35,12 @@
\section{Background}
Quantum computing experiments with trapped ions need an increasing number of electrodes when scaling up their number of qubits, for the purposes of ion shuttling (as required to implement many quantum gate schemes) and compensating stray electric fields (which decrease the fidelity of operations).
An example of an ion trap with a large number of electrodes is the NIST microfabricated ``racetrack'' ion trap\cite{racetrack}, with 150 trapping zones, which was used to demonstrate transport of atomic ions between the legs of a Y-type junction, as well as the use of a basic component design library that can be quickly assembled to form structures optimized for a particular experiment.
An example of an ion trap with a large number of electrodes is the NIST microfabricated ``racetrack'' ion trap\cite{racetrack}, with 150 trapping zones, which was used to demonstrate transport of atomic ions between the legs of a ``Y''-type junction, as well as the use of a basic component design library that can be quickly assembled to form structures optimized for a particular experiment.
\begin{figure}[h]
\centering
\includegraphics[width=0.8\textwidth]{racetrack_ion_trap.jpg}
\caption{The ``racetrack'' ion trap, measuring a few millimeters. Credits: J.Amini/NIST}
\caption{The ``racetrack'' ion trap, measuring a few millimeters. Credits: J. Amini/NIST}
\end{figure}
Ion traps operate in a ultra-high vacuum environment, while control signals originate from the laboratory at atmospheric pressure. Directly accessing all the electrodes from the ion trap from the laboratory requires electrical connections between vacuum and atmosphere sides (``vacuum feedthroughs''). They are costly and a potential source of vacuum leaks that cause malfunction of the entire apparatus requiring weeks or months of repair. Furthermore, cabling on both vacuum and atmosphere sides becomes difficult and a potential source of signal integrity problems. Due to all these issues, in the NIST racetrack\cite{racetrack} ion trap, only 48 electrical potentials could be controlled, with groups of the 150 electrodes sharing one potential. The authors nevertheless suggested repeating the hexagonal pattern of the structure as a way to scale the design to higher number of qubits -- which would be problematic with typical vacuum chamber and control system design.
@ -49,10 +49,18 @@ Transport waveforms for ions are commonly generated by a spline interpolator\cit
This document proposes moving the interpolator, DAC, and electrode driver closer to the ion trap, on the vacuum side, thereby optimizing use of the available vacuum feedthrough bandwidth and alleviating cabling issues. A new device, codenamed ``Cheko'', would be placed next to the trap electrodes, receive bandwidth-optimized digital control commands from an external control system in the laboratory, and drive the trap electrodes.
\section{Related work}
Similar approaches have been previously explored and prototyped at MIT\cite{mit} and GTRI\cite{gtri}. Compared to these, this proposal aims at:
\begin{enumerate}
\itemsep0em
\item Better scalability by integrating the interpolator.
\item Better reusability and flexibility by allowing one or several generic devices to be mounted on an ion trap that can be one of many different designs.
\end{enumerate}
\section{Architecture}
A low-pin-count digital interface going over the vacuum feedthrough, exposing the Cheko devices to the external control system, carries commands that program the trap electrode voltages. A command consists in a timestamp, channel number, and interpolator data. Commands are buffered inside the device until their respective timestamps are reached, at which point the interpolator data is sent into the corresponding channel. The Cheko devices contain a timestamp counter and a means of synchronizing it with the external control system via a special command. The interpolator continuously generates high-bandwidth data for its DAC channel based on the received data. The interpolator is based on cascaded integrator-comb (CIC) filters. The output of the DAC is amplified to drive its trap electrode.
In order to save the maximum amount of pins, the master device is responsible for avoiding buffer overflows by keeping track of the buffer space available in Cheko devices and the timestamps issued, without the Cheko devices returning backpressure information. A simple status line is used to report errors such as violations of this scheme.
In order to save the maximum amount of pins, the master device is responsible for avoiding buffer overflows by keeping track of the buffer space available in Cheko devices and the timestamps issued, without the Cheko devices returning backpressure information. A simple status line is used to report errors such as violations of this scheme. The status line can also be used sending back analog voltages for DAC calibration\cite{mit} and testing.
Several Cheko devices can be placed in one vacuum chamber, and share certain pins such as the electrical power supply pins, the clock signal, the status line, and even the data pins if an addressing scheme is implemented.
@ -102,16 +110,16 @@ Several Cheko devices can be placed in one vacuum chamber, and share certain pin
\subsection{Electrical}
\begin{itemize}
\itemsep0em
\item Voltage: $\pm$5V to $\pm$10V. This is a requirement from the physics of surface ion traps.
\item Permissible output capacitance: 5pF (TBC). The trap electrode and its connection to the driver are modeled by a capacitor.
\item Output voltage: $\pm$10V.
\item Permissible output capacitance: 50pF. The large electrode capacitance acts as a shunt for the trapping RF from other electrodes\cite{mit}.
\item Sample rate: 10MHz to 100MHz.
\item Slew rate: 100V/$\mu$s (TBC).
\item Current drive capability: 500$\mu$A (TBC) per channel. Derived from permissible output capacitance and slew rate.
\item Slew rate: 10V/$\mu$s\cite{pdq}.
\item Current drive capability: 500$\mu$A per channel. Derived from permissible output capacitance and slew rate.
\item Number of channels: 30 to 100.
\end{itemize}
\subsection{Size}
The electrode area of the racetrack ion trap\cite{racetrack} with its 150 regions only measures 2x4mm. For a scalable control system, the amount of space used by the electronics that drives these 150 regions must not be significantly larger; or wiring eventually becomes intractable again. From this, it becomes clear that custom ASIC technology is an interesting candidate. It will remain a challenging goal: as a ballpark estimate of the size required, the AD5592R 8-channel DAC is offered by Analog Devices in bare die form measuring 2x2mm. Nevertheless, even if a size of 2x4mm for 150 channels is not achieved, a miniature local electrode control system would be a significant improvement over the systems currently used.
The electrode area of the racetrack ion trap\cite{racetrack} with its 150 regions only measures 2x4mm. For a scalable control system, the amount of space used by the electronics that drives these 150 regions must not be significantly larger; or wiring eventually becomes intractable again. From this, it becomes clear that custom ASIC technology is an interesting candidate, similiar to\cite{mit}. It will remain a challenging goal: as a ballpark estimate of the size required, the AD5592R 8-channel DAC is offered by Analog Devices in bare die form measuring 2x2mm. Nevertheless, even if a size of 2x4mm for 150 channels is not achieved, a miniature local electrode control system would be a significant improvement over the systems currently used.
\begin{figure}[h]
\centering
@ -132,7 +140,7 @@ The electrode area of the racetrack ion trap\cite{racetrack} with its 150 region
\end{figure}
\subsection{Temperature range}
Some, but not all, ion trap experiments are done in a cryostat, in particular to reduce ion heating rates and improve vacuum\cite{cryo} (in terms of both pumping speed and ultimate pressure achieved). To address a wider range of ion trap experiments, it is desirable that the device be operable at low temperatures (3 to 15K) as well as room temperature.
Some, but not all, ion trap experiments are done in a cryostat, in particular to reduce ion heating rates and improve vacuum\cite{cryo} (in terms of both pumping speed and ultimate pressure achieved). To address a wider range of ion trap experiments, it is desirable that the device be operable at low temperatures (3 to 15K) as well as room temperature. This is not a strict requirement. The power dissipation of the Cheko devices is expected to be considerable (the smaller device described in \cite{mit} dissipates 500mW) and the available cooling power as low temperatures is very limited due to Carnot's theorem. Thus, cryogenic operation is unlikely to be achieved, unless substantial power efficiency gains can be obtained.
\subsection{Vacuum}
The device must be operable in a ultra-high vacuum environment. It must not outgas and must have a sufficient means of dissipating the heat it generates, such as being mounted to the wall of the vacuum chamber acting as heatsink.
@ -159,6 +167,16 @@ R. Bowler, U. Warring, J. W. Britton, B. C. Sawyer and J. Amini.
\textit{Arbitrary waveform generator for quantum information processing with trapped ions.}
Rev. Sci. Instrum. 84, 033108, 2013.
\bibitem{mit}
J. Stuart, R. Panock, C. D. Bruzewicz, J. A. Sedlacek, R. McConnell, I. L. Chuang, J. M. Sage and J. Chiaverini.
\textit{Chip-integrated voltage sources for control of trapped ions.}
Phys. Rev. Applied 11, 024010 (2019).
\bibitem{gtri}
N. D. Guise, S. D. Fallek, H. Hayden, C-S Pai, C. Volin, K. R. Brown, J. T. Merrill, A. W. Harter, J. M. Amini, L. M. Lust, K. Muldoon, D. Carlson and J. Budach.
\textit{In-Vacuum Active Electronics for Microfabricated Ion Traps.}
Review of Scientific Instruments 85, 063101 (2014).
\bibitem{cryo}
M. Niedermayr, R. Blatt.
\textit{Cryogenic surface ion traps.}