Subdimensional linear-optical quantum computation: from qudit resource states to qubit quantum computation

Abstract:In this paper, we propose a linear-optical quantum computation scheme that starts from high-dimensionally entangled qudits but performs quantum computation on qubits defined in their subspaces. This approach enables us to increase the success probability of linear-optical fusions from $50\%$ to $1-1/d$ for qudits of dimension $d$ without relying on existing approaches using ancilla photons and quantum codes. In particular, we show that a 2D cluster state of qubits can be generated from 5-qudit 1D cluster states using pairwise fusion gates while preserving their boosted success probability. We numerically demonstrate that this approach can improve the loss tolerance of a percolation-based scheme while keeping the photon number per resource state constant.

arXiv:2610.03408 [quant-ph]

(or arXiv:2610.03408v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.03408 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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