Sequential generation of entangled multi-qubit states

Abstract

We consider the deterministic generation of entangled multi-qubit states by the sequential coupling of an ancillary system to initially uncorrelated qubits. We characterize all achievable states in terms of classes of matrix product states and give a recipe for the generation on demand of any multi-qubit state. The proposed methods are suitable for any sequential generation-scheme, though we focus on streams of single photon time-bin qubits emitted by an atom coupled to an optical cavity. We show, in particular, how to generate familiar quantum information states such as W, GHZ, and cluster states, within such a framework.

4 pages and 2 figures, submitted for publication

References in corpus (12)

• Three qubits can be entangled in two inequivalent ways
• Efficient classical simulation of slightly entangled quantum computations
• Persistent entanglement in arrays of interacting particles
• How to share a quantum secret
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Deterministic Single-Photon Source for Distributed Quantum Networking
• Distributed Quantum Computation over Noisy Channels
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Valence Bond Solids for Quantum Computation
• Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
• Conditional large Fock state preparation and field state reconstruction in Cavity QED

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