Quantum cluster states and entangled-state analyzers are essential to measurement-based quantum computing. We propose to generate a quantum cluster state and to make a multipartite entanglement analyzer by using noninteracting free electrons or conduction electrons in quantum dots, based on polarizing beam splitters, charge detectors, and single-spin rotations. Our schemes are deterministic without the need of qubit-qubit interaction.

• Received 26 October 2005

DOI:https://doi.org/10.1103/PhysRevA.73.014301