Understanding strongly-correlated matter using quantum computers
University of Nottingham / Physics and Astronomy
The interplay of quantum fluctuations and correlations is at the
heart of many open questions in condensed matter physics. These range
from understanding how to design new materials with desirable
properties, to more fundamental questions of how the world we see around
us emerges from the quantum mechanical behaviour of countless
microscopic particles. However, the answers are currently out of the
reach of our most sophisticated analytical and numerical techniques.
This project aims to harness the remarkable recent progress in quantum
computing technology to develop new approaches to tackle these open
questions.
One of the central goals in condensed matter physics is to understand
the possible phases of matter. While familiar examples—such as water
and ice—are well understood, new strongly-correlated quantum phases
could impact modern technology and improve our lives. For example,
high-temperature superconductivity, if achieved at room temperature,
promises to revolutionise our society by making our transport,
computers, and power supplies faster, more energy efficient, and cheaper
to run. Such strongly-correlated phenomena generically do not have any
classical analogues but are instead characterised by their quantum
many-body entanglement, and thus quickly become prohibitively difficult
to study using current methods.
Excitingly, the past few years
have witnessed a breakthrough in the development of quantum computers,
which may provide the tools we need to advance our understanding of
strongly-correlated matter. Devices, beyond proof-of-principal, are now
available and being employed for real world applications.
Cross-disciplinary efforts to realise and understand these devices are
also providing novel insights into the structure of quantum states.
This research will focus on the development of quantum algorithms
that will build on our most successful numerical techniques but will be
tailored to the new capabilities of these quantum devices. Two
complementary approaches will be employed: tackling problems that can be
solved exactly using a quantum computer, and exploring approximate
solutions to more challenging and general questions. This ambitious
project offers the opportunity to lead at the forefront of an exciting
emerging field, to further our understanding of strongly-correlated
materials, and to provide new tools to help answer important unresolved
questions in many-body quantum physics.