Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …

The standard primitives of quantum computing include deterministic unitary entangling
gates, which are not natural operations in many systems including photonics. Here, we …

This chapter sketches the foundations of the subject, discussing salient features of quantum
information, formulates a mathematical model of quantum computation and highlights some …

We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …

What does it mean for a boundary condition to be symmetric with respect to a noninvertible
global symmetry? We discuss two possible definitions in 1+ 1 D QFTs and lattice models. On …

The design of quantum hardware that reduces and mitigates errors is essential for practical
quantum error correction (QEC) and useful quantum computation. To this end, we introduce …

Logical gates constitute the building blocks of fault-tolerant quantum computation. While
quantum error-corrected memories have been extensively studied in the literature, explicit …

In the current Noisy Intermediate Scale Quantum (NISQ) era of quantum computing, qubit
technologies are prone to imperfections, giving rise to various errors such as gate errors …

The amplitude-damping time T 1 has long stood as the major factor limiting quantum fidelity
in superconducting circuits, prompting concerted efforts in the material science and design …