Quantum theory provides an extensive framework for the description of the equilibrium
properties of quantum matter. Yet experiments in quantum simulators have now opened up …

In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

Interference with atomic and molecular matter waves is a rich branch of atomic physics and
quantum optics. It started with atom diffraction from crystal surfaces and the separated …

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

We present a simple quantum network, based on the controlled-SWAP gate, that can extract
certain properties of quantum states without recourse to quantum tomography. It can be …

Quantum coherence is a key element in topical research on quantum resource theories and
a primary facilitator for design and implementation of quantum technologies. However, the …

Several well-established geometric and topological methods underscore the mathematical
treatment of the subject, emphasizing a coherent perspective at a rather sophisticated level …

Geometric phases are ubiquitous in physics; they act as memories of the transformation of a
physical system. In optics, the most prominent examples are the Pancharatnam-Berry phase …

Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution Page 1
Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution DM Tong,1 E …

Measures are introduced to quantify the degree of superposition in mixed states with respect
to orthogonal decompositions of the Hilbert space of a quantum system. These …