Sequential measurement-based quantum computing with memories

Abstract

We introduce a general scheme for sequential one-way quantum computation where static systems with long-living quantum coherence (memories) interact with moving systems that may possess very short coherence times. Both the generation of the cluster state needed for the computation and its consumption by measurements are carried out simultaneously. As a consequence, effective clusters of one spatial dimension fewer than in the standard approach are sufficient for computation. In particular, universal computation requires only a one-dimensional array of memories. The scheme applies to discrete-variable systems of any dimension as well as to continuous-variable ones, and both are treated equivalently under the light of local complementation of graphs. In this way our formalism introduces a general framework that encompasses and generalizes in a unified manner some previous system-dependent proposals. The procedure is intrinsically well-suited for implementations with atom-photon interfaces.

6 pages, 4 figures

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Cited by in corpus (8)

• How to decompose arbitrary continuous-variable quantum operations
• Continuous-Variable Quantum Computing in Optical Time-Frequency Modes using Quantum Memories
• Robust-fidelity atom-photon entangling gates in the weak-coupling regime
• Generation of cluster states in optomechanical quantum systems
• Post-processing of quantum instruments
• Ancilla-driven quantum computation for qudits and continuous variables
• Interleaving: Modular architectures for fault-tolerant photonic quantum computing
• Relative resilience to noise of standard and sequential approaches to measurement-based quantum computation