Multipartite entanglement characterization of a quantum phase transition
arXiv:quant-ph/0612098 · doi:10.1088/1751-8113/40/28/S10
Abstract
A probability density characterization of multipartite entanglement is tested on the one-dimensional quantum Ising model in a transverse field. The average and second moment of the probability distribution are numerically shown to be good indicators of the quantum phase transition. We comment on multipartite entanglement generation at a quantum phase transition.
10 pages, 6 figures, final version
References in corpus (26)
- Mixed State Entanglement and Quantum Error Correction
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Distributed Entanglement
- Scaling of Entanglement close to a Quantum Phase Transitions
- Geometric and Renormalized Entropy in Conformal Field Theory
- On Geometric Entropy
- Global entanglement in multiparticle systems
- Entanglement versus Correlations in Spin Systems
- Characterizing Entanglement
- Induced measures in the space of mixed quantum states
- On the Entangling Power of Quantum Evolutions
- A potential multipartide entanglement measure
- Alternative commutation relations, star products and tomography
- Studying quantum spin systems through entanglement estimators
- Multipartite Entanglement Signature of Quantum Phase Transitions
- Testing statistical bounds on entanglement using quantum chaos
- Entangling power of the quantum baker's map
- Genuine Multipartite Entanglement in Quantum Phase Transitions
- Entanglement Across a Transition to Quantum Chaos
- Probability density function characterization of multipartite entanglement
- Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
- Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure
- Interference and entanglement: an intrinsic approach
- Dynamics of entanglement in quantum computers with imperfections
- Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos
Cited by in corpus (9)
- Entanglement of two blocks of spins in the critical Ising model
- XY model on the circle: diagonalization, spectrum, and forerunners of the quantum phase transition
- Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
- XX model on the circle
- Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
- Ground-State Entanglement in a Coupled-Cavity Model
- Randomized measurement protocols for lattice gauge theories
- Entanglement and its facets in condensed matter systems
- Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states