332 citations · 1.1k across the 33 of their papers we have counts for
5 papers · 1 filter
The Random-Bond Ising Model and its dual in Hyperbolic Spaces
Benedikt Placke, Nikolas P. Breuckmann
We analyze the thermodynamic properties of the random-bond Ising model (RBIM) on closed hyperbolic surfaces using Monte Carlo and high-temperature series expansion techniques. We a…
A construction of Combinatorial NLTS
Anurag Anshu, Nikolas P. Breuckmann
The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings [2014] posits that there exist families of Hamiltonians with all low energy states of high complexity (wi…
NLTS Hamiltonians from good quantum codes
Anurag Anshu, Nikolas P. Breuckmann, Chinmay Nirkhe
The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings [2014] posits that there exist families of Hamiltonians with all low energy states of non-trivial complex…
Improved single-shot decoding of higher dimensional hypergraph product codes
Oscar Higgott, Nikolas P. Breuckmann
In this work we study the single-shot performance of higher dimensional hypergraph product codes decoded using belief-propagation and ordered-statistics decoding [Panteleev and Kal…
Fold-Transversal Clifford Gates for Quantum Codes
Nikolas P. Breuckmann, Simon Burton
We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical o…