Geometric and holonomic quantum computation
Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …
Colloquium: Geometric phases of light: Insights from fiber bundle theory
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 …
physical system. In optics, the most prominent examples are the Pancharatnam-Berry phase …
Kinematic approach to the mixed state geometric phase in nonunitary evolution
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 …
Kinematic Approach to the Mixed State Geometric Phase in Nonunitary Evolution DM Tong,1 E …
Quantifying superposition
J Aberg - arxiv preprint quant-ph/0612146, 2006 - arxiv.org
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 …
to orthogonal decompositions of the Hilbert space of a quantum system. These …
Uhlmann phase as a topological measure for one-dimensional fermion systems
We introduce the Uhlmann geometric phase as a tool to characterize symmetry-protected
topological phases in one-dimensional fermion systems, such as topological insulators and …
topological phases in one-dimensional fermion systems, such as topological insulators and …
Two-dimensional density-matrix topological fermionic phases: Topological uhlmann numbers
We construct a topological invariant that classifies density matrices of symmetry-protected
topological orders in two-dimensional fermionic systems. As it is constructed out of the …
topological orders in two-dimensional fermionic systems. As it is constructed out of the …
Geometric phases in quantum information
E Sjöqvist - International Journal of Quantum Chemistry, 2015 - Wiley Online Library
The rise of quantum information science has opened up a new venue for applications of the
geometric phase (GP), as well as triggered new insights into its physical, mathematical, and …
geometric phase (GP), as well as triggered new insights into its physical, mathematical, and …
Topological indices for open and thermal systems via Uhlmann's phase
Z Huang, DP Arovas - Physical review letters, 2014 - APS
Two-dimensional topological phases are characterized by Thouless-Kohmoto-Nightingale–
den Nijs integers, which classify Bloch energy bands or groups of Bloch bands. However …
den Nijs integers, which classify Bloch energy bands or groups of Bloch bands. However …
Density-matrix Chern insulators: Finite-temperature generalization of topological insulators
Thermal noise can destroy topological insulators (TI). However, we demonstrate how TIs can
be made stable in dissipative systems. To that aim, we introduce the notion of band …
be made stable in dissipative systems. To that aim, we introduce the notion of band …
Experimental Demonstration of the Stability of Berry's Phase for a Spin- Particle
S Filipp, J Klepp, Y Hasegawa, C Plonka-Spehr… - Physical review …, 2009 - APS
The geometric phase has been proposed as a candidate for noise resilient coherent
manipulation of fragile quantum systems. Since it is determined only by the path of the …
manipulation of fragile quantum systems. Since it is determined only by the path of the …