56 citations · 67 across the 9 of their papers we have counts for
7 papers · 1 filter
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…
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…
Local Hamiltonians with no low-energy stabilizer states
Nolan J. Coble, Matthew Coudron, Jon Nelson +1
The recently-defined No Low-energy Sampleable States (NLSS) conjecture of Gharibian and Le Gall [GL22] posits the existence of a family of local Hamiltonians where all states of lo…
On nonlinear transformations in quantum computation
Zoë Holmes, Nolan Coble, Andrew T. Sornborger +1
While quantum computers are naturally well-suited to implementing linear operations, it is less clear how to implement nonlinear operations on quantum computers. However, nonlinear…
Quasi-polynomial time approximation of output probabilities of geometrically-local, shallow quantum circuits
Nolan J. Coble, Matthew Coudron
We present a classical algorithm that, for any 3D geometrically-local, polylogarithmic-depth quantum circuit acting on qubits, and any bit string , can compu…