5 papers
Fault-Tolerant Quantum Computing with Trapped Ions: The Walking Cat Architecture
Felix Tripier, Woo Chang Chung, Jacob Young +15
We propose a fault-tolerant quantum computer architecture for trapped-ion devices, which we call the walking cat architecture. Our blueprint includes a compiler, a detailed descrip…
Correction of chain losses in trapped ion quantum computers
Nolan J. Coble, Min Ye, Nicolas Delfosse
Neutral atom quantum computers and to a lesser extent trapped ions may suffer from atom loss. In this work, we investigate the impact of atom loss in long chains of trapped ions. E…
Coxeter codes: Extending the Reed-Muller family
Nolan J. Coble, Alexander Barg
Binary Reed-Muller (RM) codes are defined via evaluations of Boolean-valued functions on . We introduce a class of binary linear codes that generalizes the RM famil…
Geometric structure and transversal logic of quantum Reed-Muller codes
Alexander Barg, Nolan J. Coble, Dominik Hangleiter +1
Designing efficient and noise-tolerant quantum computation protocols generally begins with an understanding of quantum error-correcting codes and their native logical operations. T…
Hamiltonians whose low-energy states require T gates
Nolan J. Coble, Matthew Coudron, Jon Nelson +1
The recent resolution of the NLTS Conjecture [ABN22] establishes a prerequisite to the Quantum PCP (QPCP) Conjecture through a novel use of newly-constructed QLDPC codes [LZ22]. Ev…