Highly Entangled Ground States in Tripartite Qubit Systems

Abstract

We investigate the creation of highly entangled ground states in a system of three exchange-coupled qubits arranged in a ring geometry. Suitable magnetic field configurations yielding approximate GHZ and exact W ground states are identified. The entanglement in the system is studied at finite temperature in terms of the mixed-state tangle tau. By adapting a steepest-descent optimization algorithm we demonstrate that tau can be evaluated efficiently and with high precision. We identify the parameter regime for which the equilibrium entanglement of the tripartite system reaches its maximum.

4 pages, 2 figures

References in corpus (18)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Three qubits can be entangled in two inequivalent ways
• Spins in few-electron quantum dots
• Distributed Entanglement
• Measurement-based quantum computation with cluster states
• Quantum Communication Through an Unmodulated Spin Chain
• Geometric measure of entanglement and applications to bipartite and multipartite quantum states
• Fidelity and Concurrence of conjugated states
• Measures and dynamics of entangled states
• Suppression of tunneling by interference in half-integer--spin particles
• The Entanglement of Formation for Isotropic States
• Quantitative entanglement witnesses
• Entangled three-qubit states without concurrence and three-tangle
• Recipes for spin-based quantum computing
• Estimating entanglement measures in experiments
• Variational Characterisations of Separability and Entanglement of Formation
• Robust and Fragile Entanglement of Three Qubits: Relation to Permutation Symmetry

Cited by in corpus (24)

• Quantifying entanglement resources
• One-step multi-qubit GHZ state generation in a circuit QED system
• Numerical evaluation of convex-roof entanglement measures with applications to spin rings
• Tripartite entanglement transfer from flying modes to localized qubits
• Quantum circuits based on coded qubits encoded in chirality of electron spin complexes in triple quantum dots
• Theory of electronic properties and quantum spin blockade in a gated linear triple quantum dot with one electron spin each
• Greenberger-Horne-Zeilinger states and few-body Hamiltonians
• Practical method to obtain a lower bound to the three-tangle
• Minimax optimization of entanglement witness operator for the quantification of three-qubit mixed-state entanglement
• Characterizing ground and thermal states of few-body Hamiltonians
• Greenberger-Horne-Zeilinger States in Quantum Dot Molecule
• Entanglement of formation of mixed many-body quantum states via Tree Tensor Operators
• Entanglement in a molecular three-qubit system
• Quantifying mixed-state quantum entanglement by optimal entanglement witness
• libCreme: An optimization library for evaluating convex-roof entanglement measures
• Entanglement in finite spin rings with noncollinear Ising interaction
• Local Hamiltonians for Maximally Multipartite Entangled States
• Entanglement in a three spin system controlled by electric and magnetic field
• Efficient creation of multipartite entanglement in flux qubits
• Maximal tripartite entanglement between singlet-triplet qubits in quantum dots
• Surface Entanglement in Quantum Spin Networks
• Measurement-induced nonlocality in arbitrary dimensions in terms of the inverse approximate joint diagonalization
• Geometric Measure of Entanglement and Schmidt Decomposition of Multipartite Systems
• Multipartite entanglement and few-body Hamiltonians