Quantum computers have made extraordinary progress over the past decade, and
significant milestones have been achieved along the path of pursuing universal fault-tolerant …

By utilizing biorthogonal bases, we develop a comprehensive framework for studying
biorthogonal dynamical quantum phase transitions in non-Hermitian systems. With the help …

Nuclear magnetic resonance is arguably both the best available quantum technology for
implementing simple quantum computing experiments and the worst technology for building …

The equipartition theorem is an elegant cornerstone theory of thermal and statistical physics.
However, it fails to address some contemporary problems, such as those associated with …

Topological quantum computation (TQC) is one of the most striking architectures that can
realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates …

Non-Hermitian quantum systems have recently attracted considerable attention due to their
exotic properties. Though many experimental realizations of non-Hermitian systems have …

While the Hamiltonians used in standard quantum mechanics are Hermitian, it is also
possible to extend the theory to non-Hermitian Hamiltonians. Particularly interesting are non …

This four-chapter dissertation studies the efficient discretization of continuous variable
functions with tensor train representation. The first chapter describes all the methodology …

This four-chapter dissertation studies the efficient discretization of continuous variable
functions with tensor train representation. The first chapter describes all the methodology …