Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

This article reviews the physics of high-temperature superconductors from the point of view
of the doping of a Mott insulator. The basic electronic structure of cuprates is reviewed …

Encoding a qubit in logical quantum states with wave functions characterized by disjoint
support and robust energies can offer simultaneous protection against relaxation and pure …

Artificial atoms realized by superconducting circuits offer unique opportunities to store and
process quantum information with high fidelity. Among them, implementations of circuits that …

The experimental realization of quantum spin liquids is a long-sought goal in physics, as
they represent new states of matter. Quantum spin liquids cannot be described by the …

We use the density matrix renormalization group to perform accurate calculations of the
ground state of the nearest-neighbor quantum spin S= 1/2 Heisenberg antiferromagnet on …

We show that quantum systems of extended objects naturally give rise to a large class of
exotic phases—namely topological phases. These phases occur when extended objects …

Quantum error correction (QEC) and fault-tolerant quantum computation represent one of
the most vital theoretical aspects of quantum information processing. It was well known from …

Superconducting circuits based on Josephson junctions exhibit macroscopic quantum
coherence and can behave like artificial atoms. Recent technological advances have made …

Arrays of Josephson junctions are at the forefront of research on quantum circuitry for
quantum computing, simulation, and metrology. They provide a testing bed for exploring a …