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Mark Webster

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Preprint Sep 2026

Computing 256-bit elliptic curve discrete logarithms in 26 days on a fault-tolerant trapped-ion quantum computer with 20,000 qubits

One of the strengths of our recently proposed Walking Cat Architecture for a trapped-ion quantum computer is that it is straightforward to extend and optimize for a specific application. As a proof-of-concept, here we present such optimizations for solving the $256$-bit elliptic curve discrete logarithm problem (ECDLP)...

Thomas Häner, Felix Tripier, Jacob Young et al. · 0 citations
Preprint Jul 2026

Fast logical operations in quantum LDPC codes using simple resource states

Quantum LPDC codes provide a substantial reduction in qubit overhead required for fault-tolerant quantum computation compared to surface code, thanks to their high encoding rate. However, operating simultaneously on multiple logical qubits encoded in the same block is more challenging and may slow down logical operatio...

Mark A. Webster, Nicolas Delfosse · 0 citations
Preprint Jul 2026

Efficiently simulable quantum circuits with large entanglement, magic, and non-Gaussianity via code-compiled tensor networks

We introduce a family of quantum circuits that possess standard indicators of classical simulation hardness including high entanglement entropy, magic, and non-Gaussianity, yet admit efficient classical simulation via matrix product states (MPS). Our construction uses logical circuits of high-rate Calderbank-Shor-Stean...

Aydin Deger, Stergios Koutsioumpas, Mark A. Webster et al. · 1 citation

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