“The primary time I visited the U of S was throughout an open home,” stated Teixeira, a U of S School of Arts and Science undergraduate pupil.
“I used to be invited to sit down in on a arithmetic lecture that morning. I gladly missed the welcome occasion to attend the lecture. After that day, I used to be decided to review mathematical physics.”
Underneath the mentorship of Dr. Steven Rayan (PhD), director of the Centre for Quantum Topology and its Functions (quanTA) and a school member within the School of Arts and Science’s Division of Arithmetic and Statistics, Teixeira started learning how quantum computer systems work as a part of her honours diploma in mathematical physics.
To function, traditional computer systems use small items of data known as bits. Bits can function in an ‘on’ or ‘off’ state — like a lightweight swap — that helps the pc to categorise and course of info. Alternatively, quantum computer systems use quantum particles known as qubits. As a substitute of working like a lightweight swap, quantum particles have spin. No matter route the particle’s spin is noticed in is named its ‘state.’
“The counterintuitive factor a couple of qubit is it may be in a number of states directly,” Teixeira stated.
“Whenever you test which state it’s in, it collapses to a single state. There’s some randomness — we solely know the likelihood of discovering the qubit in a sure state.”
Leveraging these chances, advanced arithmetic, and intensely delicate engineering, quantum computer systems permit for vastly faster computations compared to classical computer systems. Due to their distinctive method of working on a mathematical and bodily degree, quantum computer systems can extra precisely characterize fashions of molecules, making them significantly helpful in creating new drugs and coverings.
“Their computational pace is helpful for machine studying and synthetic intelligence,” Teixeira stated.
“As we construct quantum computer systems that embrace extra qubits, the makes use of for these computer systems will definitely broaden.”
Teixeira has been learning a specific subject of arithmetic, known as “Lie algebras,” to additional develop her understanding of quantum computing. As a substitute of solely contemplating bits of their on/off state, this mathematical method opens the door to a possible third choice.
Whereas extra investigation is required to find out how these difficult logic fashions could be realized bodily, the likelihood for qubits to naturally assume extra states already anticipates new sorts of quantum programming, which is thrilling at a time when trade is on the lookout for methods to reveal the ability of quantum computing.
“In the case of quantum computing, sure particulars are nonetheless being determined. For instance, solely lately have quantum computer systems began being constructed, and there are a number of methods to bodily characterize a qubit,” Teixeira stated.
“Thus, earlier than establishing a regular system for quantum computing, we need to discover a number of choices. Most significantly, we need to make the most of all of their potential.”
Teixeira’s analysis work has been supported by the U of S and the Pure Sciences and Engineering Analysis Council of Canada, by means of the company’s aggressive Undergraduate Scholar Analysis Award program.
This article first ran as part of the 2022 Young Innovators series, an initiative of the USask Analysis Profile and Influence workplace in partnership with the Saskatoon StarPhoenix.