Entanglement and Quantum Phase Transitions via Adiabatic Quantum Computation
arXiv:quant-ph/0701096 · doi:10.1140/epjd/e2010-00105-9
Abstract
For a finite XY chain and a finite two-dimensional Ising lattice, it is shown that the paramagnetic ground state is adiabatically transformed to the GHZ state in the ferromagnetic phase by slowly turning on the magnetic field. The fidelity between the GHZ state and an adiabatically evolved state shows a feature of the quantum phase transition.
Revised
References in corpus (6)
- Quantum Phase Transitions and Bipartite Entanglement
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Entanglement and Quantum Phase Transition Revisited
- Renormalization of concurrence: the application of quantum renormalization group to the quantum information systems
- Adiabatic quantum algorithms as quantum phase transitions: first versus second order
- Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions