Cluster States From Heisenberg Interaction

Abstract

We show that a special type of entangled states, cluster states, can be created with Heisenberg interactions and local rotations in 2d steps where d is the dimension of the lattice. We find that, by tuning the coupling strengths, anisotropic exchange interactions can also be employed to create cluster states. Finally, we propose electron spins in quantum dots as a possible realization of a one-way quantum computer based on cluster states.

References in corpus (7)

• Quantum Computation with Quantum Dots
• Elementary gates for quantum computation
• Persistent entanglement in arrays of interacting particles
• Measurement-based quantum computation with cluster states
• Coupled quantum dots as quantum gates
• Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots
• Physical Optimization of Quantum Error Correction Circuits

Cited by in corpus (30)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Measurement-based quantum computation
• Generation of cluster states
• Deterministic generation of large cluster states using non-deterministic collective measurements based on quantum Zeno effect
• Producing cluster states in charge qubits and flux qubits
• Fundamentals of universality in one-way quantum computation
• Efficient one-step generation of large cluster states with solid-state circuits
• Ancilla-Driven Universal Quantum Computation
• Generation of quantum-dot cluster states with superconducting transmission line resonator
• A simple nearest-neighbor two-body Hamiltonian system for which the ground state is a universal resource for quantum computation
• Efficient quantum circuits for one-way quantum computing
• Quantum Dot Cluster State Computing with Encoded Qubits
• Quantum computational webs
• Efficient generation of universal two-dimensional cluster states with hybrid systems
• Holonomic Quantum Computation with Electron Spins in Quantum Dots
• One-step preparation of cluster states in quantum dot molecules
• Cluster-state preparation and multipartite entanglement analyzer with fermions
• Production of multipartite entanglement for electron spins in quantum dots
• Quantum controlled phase gate and cluster states generation via two superconducting quantum interference devices in a cavity
• Direct versus measurement assisted bipartite entanglement in multi-qubit systems and their dynamical generation in spin systems
• Layer by layer generation of cluster states
• Scalable one-way quantum computer using on-chip resonator qubits
• Error-correcting one-way quantum computation with global entangling gates
• Preserving universal resources for one-way quantum computing
• Coherent-cluster-state generation in networks of degenerate optical parametric oscillators
• Maximal tripartite entanglement between singlet-triplet qubits in quantum dots
• Capacitative coupling of singlet-triplet qubits in different inter-qubit geometries
• Perfect Cluster States from Imperfect Global Entanglement
• Minimal ancilla mediated quantum computation
• Efficient scheme for one-way quantum computing in thermal cavities