Experimental implementation of the surface code will be a significant milestone for quantum
computing. We develop a circuit and a decoder targeted for near-term implementation of a …

Quantum networks build on entanglement and quantum measurement to achieve tasks that
are beyond the reach of classical systems. Using quantum effects, we can detect the …

With favourable error thresholds and requiring only nearest-neighbour interactions on a
lattice, the surface code is an error-correcting code that has garnered considerable attention …

Instead of studying anyon condensation in various concrete models, we take a bootstrap
approach by considering an abstract situation, in which an anyon condensation happens in …

We consider two-dimensional lattice models that support Ising anyonic excitations and are
coupled to a thermal bath. We propose a phenomenological model for the resulting short …

Quantum optics is the study of interaction between atoms and photons. In the eight papers of
this thesis, we study a number of systems where artificial atoms (here, superconducting …

Boundary conditions and defects of any codimension are natural parts of any quantum field
theory. Surface defects in three-dimensional topological field theories of Turaev-Reshetikhin …

Physical design and synthesis are two key processes of quantum circuit design
methodology. The physical design process itself decomposes into scheduling, mapping …

Fault-tolerant Z rotations by pi/2^ k are important as they arise in numerous quantum
algorithms, most notably those involving quantum Fourier transforms. We describe surface …

The main focus of this thesis is to explore the advantages of using higher-dimensional
quantum systems (qudits) as building blocks for fault-tolerant quantum computation. In …