Department Physics, Graduate of Science
"Explain the world with a single law." This proposition is the ultimate question for humanity. (At least, I believe it is.) The current answer to this is that quantum mechanics and gravity theory are the two fundamental laws. Therefore, ultimately, these two must be unified into one.
In the course of this attempt, an intriguing hypothesis has been proposed: "Gravity theory is actually equivalent to a lower-dimensional quantum theory." This is known as the "Gauge-Gravity Duality." This hypothesis is believed to be correct based on various circumstantial evidence, but the reason why this seemingly inexplicable correspondence arises is not yet understood. Understanding this fundamental principle is expected to enable an explanation of the world with a single law, and I am very interested in it.
Moreover, this duality has wide-ranging applications. I am particularly interested in its connection with quantum error correction. Error correction involves restoring errors that occur during quantum computations. In fact, the gauge-gravity duality naturally includes the structure of error correction. I am researching the relationship between these two areas with the aim of furthering our understanding of the gauge-gravity duality, and I also hope to discover new methods of error correction in the process.