2 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
Tile Codes: High-Efficiency Quantum Codes on a Lattice with Boundary
Vincent Steffan, Shin Ho Choe, Nikolas P. Breuckmann +2
We introduce tile codes, a simple yet powerful way of constructing quantum codes that are local on a planar 2D-lattice. Tile codes generalize the usual surface code by allowing for…
Topological Quantum Spin Glass Order and its realization in qLDPC codes
Benedikt Placke, Tibor Rakovszky, Nikolas P. Breuckmann +1
Ordered phases of matter have close connections to computation. Two prominent examples are spin glass order, with wide-ranging applications in machine learning and optimization, an…
Bottlenecks in quantum channels and finite temperature phases of matter
Tibor Rakovszky, Benedikt Placke, Nikolas P. Breuckmann +1
We prove an analogue of the "bottleneck theorem", well-known for classical Markov chains, for Markovian quantum channels. In particular, we show that if two regions (subspaces) of…
Low-Overhead Entangling Gates from Generalised Dehn Twists
Ryan Tiew, Nikolas P. Breuckmann
We generalise the implementation of logical quantum gates via Dehn twists from topological codes to the hypergraph and balanced products of cyclic codes. These generalised Dehn twi…
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…