Reduce, reuse, recycle, for robust cluster state generation

Abstract

Efficient generation of cluster states is crucial for engineering large-scale measurement-based quantum computers. Hybrid matter-optical systems offer a robust, scalable path to this goal. Such systems have an ancilla which acts as a bus connecting the qubits. We show that by generating smaller cluster "Lego bricks", reusing one ancilla per brick, the cluster can be produced with maximal efficiency, requiring fewer than half the operations compared with no bus reuse. By reducing the time required to prepare sections of the cluster, bus reuse more than doubles the size of the computational workspace that can be used before decoherence effects dominate. A row of buses in parallel provides fully scalable cluster state generation requiring only 20 CPhase gates per bus use.

4 pages, 3 figures; v2 significant update, results improved, typos and references fixed; v3 minor update in response to referee comments, figure added; v4 now 5.5 pages 3 figures, added section headings and more references; v5 minor corrections, updated references, close to publishers version; v6 correct formatting error and add journal reference

References in corpus (12)

• Fault-tolerant quantum computation with high threshold in two dimensions
• Resource-efficient linear optical quantum computation
• Hybrid Quantum Computation in Quantum Optics
• Ancilla-Driven Universal Quantum Computation
• The efficiencies of generating cluster states with weak non-linearities
• The Photonic Module: an on-demand resource for photonic entanglement
• Generalized Toffoli gates using qudit catalysis
• Potential and limits to cluster state quantum computing using probabilistic gates
• Deterministic optical quantum computer using photonic modules
• Efficient generation of universal two-dimensional cluster states with hybrid systems
• Weak non-linearities and cluster states
• Robust and scalable optical one-way quantum computation

Cited by in corpus (10)

• Wire Recycling for Quantum Circuit Optimization
• Weaving independently generated photons into an arbitrary graph state
• Ancilla-based quantum simulation
• Layer by layer generation of cluster states
• Composite Cluster States and Alternative Architectures for One- Way Quantum Computation
• Hybrid quantum computing with ancillas
• A Framework for Heterotic Computing
• Quantum computation mediated by ancillary qudits and spin coherent states
• Entanglement Generation by Communication using Phase-Squeezed Light with Photon Loss
• Imperfect Linear Optical Photonic Gates with Number-Resolving Photodetection