1.9k citations · 14.2k across the 54 of their papers we have counts for
54 papers
Partial Syndrome Measurement for Hypergraph Product Codes
Noah Berthusen, Daniel Gottesman
Hypergraph product codes are a promising avenue to achieving fault-tolerant quantum computation with constant overhead. When embedding these and other constant-rate qLDPC codes int…
Opportunities and Challenges in Fault-Tolerant Quantum Computation
Daniel Gottesman
I will give an overview of what I see as some of the most important future directions in the theory of fault-tolerant quantum computation. In particular, I will give a brief summar…
Maximally Sensitive Sets of States
Daniel Gottesman
Coherent errors in a quantum system can, in principle, build up much more rapidly than incoherent errors, accumulating as the square of the number of qubits in the system rather th…
Quantum fault tolerance in small experiments
Daniel Gottesman
I discuss a variety of issues relating to near-future experiments demonstrating fault-tolerant quantum computation. I describe a family of fault-tolerant quantum circuits that can…
Diagonal gates in the Clifford hierarchy
Shawn X. Cui, Daniel Gottesman, Anirudh Krishna
The Clifford hierarchy is a set of gates that appears in the theory of fault-tolerant quantum computation, but its precise structure remains elusive. We give a complete characteriz…
Fault-Tolerant Quantum Computation with Constant Overhead
Daniel Gottesman
What is the minimum number of extra qubits needed to perform a large fault-tolerant quantum circuit? Working in a common model of fault-tolerance, I show that in the asymptotic lim…