332 citations · 1.1k across the 33 of their papers we have counts for
3 papers · 1 filter
Circuit-to-Hamiltonian from tensor networks and fault tolerance
Anurag Anshu, Nikolas P. Breuckmann, Quynh T. Nguyen
We define a map from an arbitrary quantum circuit to a local Hamiltonian whose ground state encodes the quantum computation. All previous maps relied on the Feynman-Kitaev construc…
Constructions and performance of hyperbolic and semi-hyperbolic Floquet codes
Oscar Higgott, Nikolas P. Breuckmann
We construct families of Floquet codes derived from colour code tilings of closed hyperbolic surfaces. These codes have weight-two check operators, a finite encoding rate and can b…
Fault-Tolerant Connection of Error-Corrected Qubits with Noisy Links
Joshua Ramette, Josiah Sinclair, Nikolas P. Breuckmann +1
One of the most promising routes towards scalable quantum computing is a modular approach. We show that distinct surface code patches can be connected in a fault-tolerant manner ev…