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Milestones toward Majorana-based quantum computing
We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in
Topological Defects on the Lattice I: The Ising model
In this paper and its sequel, we construct topologically invariant defects in two-dimensional classical lattice models and quantum spin chains. We show how defect lines commute with the transfer
Fermion condensation and super pivotal categories
We study fermionic topological phases using the technique of fermion condensation. We give a prescription for performing fermion condensation in bosonic topological phases which contain a fermion.
Processing quantum information with relativistic motion of atoms.
It is shown that through suitably chosen noninertial trajectories of the detectors the interaction Hamiltonian's time dependence can be modulated to yield arbitrary rotations in the Bloch sphere due to relativistic quantum effects.
Foliated field theory and string-membrane-net condensation picture of fracton order
A new kind of field theory is introduced to describe these phases of matter: a foliated field theory, which introduces a new lattice model and string-membrane-net condensation picture of these phases, which is analogous to the string-nets condensationpicture of topological order.
Topological Defects on the Lattice: Dualities and Degeneracies
We construct topological defects in two-dimensional classical lattice models and quantum chains. The defects satisfy local commutation relations guaranteeing that the partition function is
Electrical Probes of the Non-Abelian Spin Liquid in Kitaev Materials
Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin liquid phase in the Kitaev material $\alpha$-$\mathrm{RuCl}_{3}$. Although the platform is a good Mott
Shape from sound: toward new tools for quantum gravity.
This work regularize and break up spectral geometry into small, finite-dimensional and therefore manageable steps, and constructively demonstrate that this strategy works at least in two dimensions.
Approaching a topological phase transition in Majorana nanowires
Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these