Abstract
We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory
and gravitational physics, in an appropriate limit of parameters. Furthermore, for certain
states in the Berenstein-Maldacena-Nastase (BMN) matrix model, several supersymmetric
quantum field theories dual to superstring/M-theory can be realized on a quantum device. Our prescription consists of four steps: regularization of the Hilbert space, adiabatic
state preparation, simulation of real-time dynamics, and measurements. Regularization
is performed for the BMN matrix model with the introduction of energy cut-off via the
truncation in the Fock space. We use the Wan-Kim algorithm for fast digital adiabatic
state preparation to prepare the low-energy eigenstates of this model as well as thermofield
double state. Then, we provide an explicit construction for simulating real-time dynamics
utilizing techniques of block-encoding, qubitization, and quantum signal processing. Lastly,
we present a set of measurements and experiments that can be carried out on a quantum
computer to further our understanding of superstring/M-theory beyond analytic results.