5 papers
A robust phase of continuous transversal gates in quantum stabilizer codes
Eric Huang, Pierre-Gabriel Rozon, Arpit Dua +2
A quantum error correcting code protects encoded logical information against errors. Transversal gates are a naturally fault-tolerant way to manipulate logical qubits but cannot be…
Card Dealing Math
Eric Huang, Tanya Khovanova, Timur Kilybayev +9
Various card tricks involve under-down dealing, where alternatively one card is placed under the deck and the next card is dealt. We study how the cards need to be prepared in the…
A 1.5-Query Lower Bound for the Unitary Synthesis Problem
Eric Huang
We prove a new lower bound for the unitary synthesis problem in the so-called 1.5-query setting. Our analysis establishes that any attempt to implement arbitrary n-qubit unitaries…
Adaptive Syndrome Extraction
Noah Berthusen, Shi Jie Samuel Tan, Eric Huang +1
Device error rates on current quantum computers have improved enough to where demonstrations of error correction below break-even are now possible. Still, the circuits required for…
Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements
Zihan Cheng, Eric Huang, Vedika Khemani +2
Unitary -designs are distributions of unitary gates that match the Haar distribution up to its -th statistical moment. They are a crucial resource for randomized quantum prot…