Noise analysis of single-qumode Gaussian operations using continuous-variable cluster states

Abstract

We consider measurement-based quantum computation that uses scalable continuous-variable cluster states with a one-dimensional topology. The physical resource, known here as the dual-rail quantum wire, can be generated using temporally multiplexed offline squeezing and linear optics or by using a single optical parametric oscillator. We focus on an important class of quantum gates, specifically Gaussian unitaries that act on single modes, which gives universal quantum computation when supplemented with multi-mode operations and photon-counting measurements. The dual-rail wire supports two routes for applying single-qumode Gaussian unitaries: the first is to use traditional one-dimensional quantum-wire cluster-state measurement protocols. The second takes advantage of the dual-rail quantum wire in order to apply unitaries by measuring pairs of qumodes called macronodes. We analyze and compare these methods in terms of the suitability for implementing single-qumode Gaussian measurement-based quantum computation.

25 pages, 9 figures, more accessible to general audience

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• Teleportation with a cubic phase gate
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• Linear-optical quantum computation with arbitrary error-correcting codes
• Applications and resource reductions in measurement-based variational quantum eigensolvers
• Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate
• Passive interferometric symmetries of multimode Gaussian pure states
• CZ vs Beam Splitter: errors of entangled operations
• Deterministic multi-mode gates on a scalable photonic quantum computing platform
• Equivalent noise properties of scalable continuous-variable cluster states
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• A complete continuous-variable quantum computation architecture based on the 2D spatiotemporal cluster state
• Comment on "Towards universal quantum computation through relativistic motion"
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• Teleportation-based squeezer for bosonic cluster states