7 papers
Continuous-angle logical rotations in the Steane code
Eric Huang, Daiwei Zhu, Matteo Ippoliti +2
We experimentally demonstrate continuous-angle logical rotations in the Steane code on the IonQ Forte trapped-ion processor. A round of the protocol applies a trans…
Self-Referential Tests
Siyona Agarwal, Julian Bernhoft, Karam Gill +8
We study self-referential multiple-choice tests with the question: \emph{How many correct answer choices are there?} The answer choices are positive integers. A value is called…
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…
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…
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…