Gate set tomography used to discover and validate two innovations published in Nature

A precision diagnostic developed at Sandia is emerging as a gold standard for detecting and describing problems inside quantum computing hardware.

Two papers recently published in the scientific journal Nature describe how separate research teams — one including Sandia researchers — used a Sandia technique called gate set tomography to develop and validate highly reliable quantum processors. Sandia has been developing gate set tomography since 2012, with funding from the DOE Office of Science through the Advanced Scientific Computing Research program.

Sandia scientists collaborated with Australian researchers at the University of New South Wales in Sydney, led by professor Andrea Morello, to publish one of the papers. Together, they used gate set tomography to show that a sophisticated, three-qubit system comprising two atomic nuclei and one electron in a silicon chip could be manipulated reliably with more than 99 percent accuracy.

In another Nature article, a group led by professor Lieven Vandersypen at Delft University of Technology in the Netherlands used gate set tomography, implemented using Sandia software, to demonstrate the important milestone of more than 99 percent accuracy but with a different approach, controlling electrons trapped within quantum dots instead of isolated atomic nuclei.

“We want researchers everywhere to know they have access to a powerful, cutting-edge tool that will help them make their breakthroughs,” said Sandia scientist Robin Blume-Kohout.

Future quantum processors with many more qubits, or quantum bits, could enable users working in national security, science and industry to perform some tasks faster than they ever could with a conventional computer. But flaws in current system controls cause computational errors. A quantum computer can correct some errors, but the more errors it must correct, the larger and more expensive that computer becomes to build.

So scientists need diagnostic tools to calculate how precisely they can control single atoms and electrons that store qubits and learn how to prevent errors instead of correcting them. This increases the reliability of their system while keeping costs down.

Gate set tomography is Sandia’s flagship technique for measuring the performance of qubits and quantum logic operations, also known as “gates.” It combines results from many kinds of measurements to generate a detailed report describing every error occurring in the qubits. Experimental scientists like Morello can use the diagnostic results to deduce what they need to fix.

“The Quantum Performance Laboratory at Sandia National Labs, led by Robin Blume-Kohout, has developed the most accurate method to identify the nature of the errors occurring in a quantum computer,” Morello said.

Gate set tomography even detects unexpected errors

The Sandia team maintains a free, open source gate set tomography software called pyGSTi (pronounced “pigsty,” which stands for Python Gate Set Tomography Implementation). Publicly available at www.pygsti.info, it was used by both research groups published in Nature.

While the Delft team used the pyGSTi software without assistance from the Sandia team, the New South Wales-Sandia collaboration used a new, customized form of gate set tomography developed by the Sandia researchers. The new techniques enabled the team to rule out more potential error modes and focus on a few dominant error mechanisms.

But when the Sandia team studied the gate set tomography analysis of the New South Wales experimental data, they discovered a surprising kind of error that Morello’s group did not expect. The nuclear-spin qubits were interacting when they should have been isolated. Concerned that this error might indicate a flaw in the qubits, the team turned to Sandia’s Andrew Baczewski, an expert in silicon qubit physics and a researcher at the Quantum Systems Accelerator, a National Quantum Information Science Research Center, to help find its source.

“It came to occupy a lot of my free time,” Andrew said. “I would be out for a walk on a Saturday morning, and, out of the blue, something would occur to me, and I would run home and do math for an hour.”

Eventually, Andrew and the rest of the team tracked the error to a signal generator that was leaking microwaves into the system. This can be easily fixed in future experiments now that the cause is known.

Robin said, “It was really fulfilling to see confirmation that pyGSTi even detected the errors that nobody expected.”

“The collaboration with Sandia National Laboratories has been crucial to achieve the milestone of high-fidelity quantum operations in silicon,” Morello said. “The theoretical and computational methods developed at Sandia have enabled the rigorous demonstration of quantum computing with better than 99% fidelity and have provided precious insights into the microscopic causes of the residual errors. We plan to expand this strategic collaboration in years to come.”