We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

Generalized symmetries often appear in the form of emergent symmetries in low energy
effective descriptions of quantum many-body systems. Non-invertible symmetries are a …

We study quantum many-body mixed states with a symmetry from the perspective of
separability, ie, whether a mixed state can be expressed as an ensemble of short-range …

Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

Coupling a many-body system to a thermal environment typically destroys the quantum
coherence of its state, leading to an effective classical dynamics at the longest time scales …

The inherent susceptibility of low-dimensional materials to thermal fluctuations has long
been expected to pose a major challenge to achieve intrinsic long-range ferromagnetic …

Projective measurements in random quantum circuits lead to a rich breadth of entanglement
phases and extend the realm of nonunitary quantum dynamics. Here, we explore the …

Surface codes offer a very promising avenue towards fault-tolerant quantum computation.
We argue that two-dimensional interacting networks of Majorana bound states in topological …

In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising
in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain …

We construct fermionic conformal field theories (CFTs) whose spectra are characterized by
quantum stabilizer codes. We exploit our construction to search for fermionic CFTs with …