Regional versus Global Entanglement in Resonating-Valence-Bond states
arXiv:quant-ph/0703227 · doi:10.1103/PhysRevLett.99.170502
Abstract
We investigate the entanglement properties of resonating-valence-bond states on two and higher dimensional lattices, which play a significant role in our understanding of various many-body systems. We show that these states are genuinely multipartite entangled, while there is only a negligible amount of two-site entanglement. We comment on possible physical implications of our findings.
arXiv comment4 pages, no figures, RevTeX4; v2: improved result in the multiparty case, presentation improved (5 pages, one figure); v3: further changes in presentation, results unchanged, published version
References in corpus (19)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Fault-tolerant quantum computation by anyons
- Mixed State Entanglement and Quantum Error Correction
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Distributed Entanglement
- Efficient classical simulation of slightly entangled quantum computations
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Superconductivity in diamond
- Matrix product states represent ground states faithfully
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Quantum cloning
- Quantum telecloning and multiparticle entanglement
- Comparison of the phase diagram of the half-filled layered organic superconductors with the phase diagram of the RVB theory of the Hubbard-Heisenberg model
- d-wave resonating valence bond states of fermionic atoms in optical lattices
- Pairing and superconductivity driven by strong quasiparticle renormalization in two-dimensional organic charge transfer salts
- Gossamer Superconductivity near Antiferromagnetic Mott Insulator in Layered Organic Conductors
- Quantum spin models with exact dimer ground states
Cited by in corpus (27)
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Monogamy of quantum correlations - a review
- Optimal Cloning and Singlet Monogamy
- Experimental realisation of multipartite entanglement via quantum Fisher information in a uniform antiferromagnetic quantum spin chain
- Nonviolation of Bell's Inequality in Translation Invariant Systems
- Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
- Local Realism of Macroscopic Correlations
- Light scattering detection of quantum phases of ultracold atoms in optical lattices
- Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
- Geometry versus Entanglement in Resonating Valence Bond Liquids
- Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model
- Spintronics meets density matrix renormalization group: Quantum spin torque driven nonclassical magnetization reversal and dynamical buildup of long-range entanglement
- Quantifying entanglement with scattering experiments
- Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders
- Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
- Certificates of quantum many-body properties assisted by machine learning
- Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
- Generating resonating valence bond states through Dicke subradiance
- Entanglement signatures for the dimerization transition in the Majumdar-Ghosh model
- Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
- Activation of Nonmonogamous Multipartite Quantum States
- Dimensionality induced entanglement in macroscopic dimer systems
- Entanglement in doped Resonating Valence Bond states
- Comment on "Regional Versus Global Entanglement in Resonating-Valence-Bond States"
- Quantum information processing at the cellular level. Euclidean approach
- Genuine monogamy relations in no-signaling theories - a geometric approach
- Reply to Comment on "Regional Versus Global Entanglement in Resonating-Valence-Bond States"