Tailoring Fault-Tolerance to Quantum Algorithms

Explore a groundbreaking approach to quantum fault-tolerance in this 40-minute talk by Narayanan Rengaswamy from QuICS. Delve into the concept of algorithm-tailored quantum error correction, focusing on Trotter circuits in quantum simulation. Learn about the innovative solve-and-stitch algorithm for synthesizing physical realizations of Clifford Trotter circuits on the [[n,n−2,2]] error-detecting code family. Discover how this approach achieves optimal depth implementation and fault-tolerance with minimal overhead using flag gadgets. Gain insights into the potential scalability of this method and its implications for principled tailored fault-tolerance in quantum computing. Understand the connection to the speaker's prior work on the Logical Clifford Synthesis (LCS) algorithm, with references to related papers and implementation resources.