Loss-tolerant teleportation on large stabilizer states

Sam Morley-Short, Mercedes Gimeno-Segovia, Terry Rudolph, Hugo Cable

Research output: Contribution to journalArticle (Academic Journal)

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Abstract

We present a general method for finding loss-tolerant teleportation on large, entangled stabilizer states using only single-qubit measurements, known as "stabilizer pathfinding" (SPF). For heralded loss, SPF is shown to generate optimally loss-tolerant measurement patterns on any given stabilizer state. Furthermore, SPF also provides highly loss-tolerant teleportation strategies when qubit loss is unheralded. We provide a fast algorithm for SPF that updates continuously as a state is generated and measured, and which is therefore suitable for real-time implementation on a quantum-computing device. When compared to previous heuristics for loss-tolerant teleportation on graph states, SPF provides considerable gains in tolerance to both heralded and unheralded loss, achieving a near-perfect teleportation rate (> 95%) in the regime of low qubit loss (< 10%) on various graph state lattices. Using these results we also present evidence which points towards the existence of loss-tolerant thresholds on such states, which in turn indicates that the loss-tolerant behaviour we have found also applies as the number of qubits tends to infinity. Our results represent a significant advance towards the realistic implementation of teleportation in both large-scale and near-future quantum architectures that are susceptible to qubit loss, such as linear optical quantum computation and quantum communication networks.
Original languageEnglish
Number of pages28
JournalarXiv
Publication statusSubmitted - 23 Jul 2018

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  • Programme Grant: Engineering Photonic Quantum Technologies.

    Rarity, J. G. (Principal Investigator), O'Brien, J. L. (Principal Investigator), Thompson, M. G. (Co-Investigator), Erven, C. (Co-Investigator), Sahin, D. (Co-Investigator), Marshall, G. D. (Researcher), Barreto, J. (Co-Investigator), Jiang, P. (Collaborator), McCutcheon, W. D. (Researcher), Silverstone, J. W. (Researcher), Sinclair, G. F. (Researcher), Kling, L. (Engineer), Banerjee, A. (Researcher), Wang, J. (Researcher), Santagati, R. (Researcher), Borghi, M. (Researcher), Woodland, E. M. (Manager), Mawdsley, H. C. M. (Administrator) & Faruque, I. I. (Researcher)

    16/06/1415/06/19

    Project: Research, Parent

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