332 citations · 1.1k across the 33 of their papers we have counts for
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quant-ph2026
Fault-Tolerant Quantum Computation with Adversarial Errors
Nikolas P. Breuckmann, Louis Golowich, Umesh Vazirani
We prove a fault-tolerance theorem for quantum computation against adversarial noise. For every quantum circuit on logical qudits of depth , we construct a fault…
quant-ph2026
Optimal Decoding with the Worm
Zac Tobias, Nikolas P. Breuckmann, Benedikt Placke
We propose a new decoder for "matchable'' qLDPC codes that uses a Markov Chain Monte Carlo algorithm - called the worm algorithm - to approximately compute the probabilities of log…
quant-ph2026
Copy-cup Gates in Tensor Products of Group Algebra Codes
Ryan Tiew, Nikolas P. Breuckmann
We determine conditions on classical group algebra codes so that they have pre-orientation for cup products and copy-cup gates. This defines quantum codes that have constant-depth…