734 citations · 6k across the 61 of their papers we have counts for
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Distillation with sublogarithmic overhead
M. B. Hastings, J. Haah
It has been conjectured [1] that for any distillation protocol for magic states for the gate, the number of noisy input magic states required per output magic state at output e…
Magic State Distillation at Intermediate Size
Jeongwan Haah, Matthew B. Hastings, D. Poulin +1
Recently we proposed a family of magic state distillation protocols that obtains asymptotic performance that is conjectured to be optimal. This family depends upon several codes, c…
Towers of generalized divisible quantum codes
Jeongwan Haah
A divisible binary classical code is one in which every code word has weight divisible by a fixed integer. If the divisor is for a positive integer , then one can construc…
Codes and Protocols for Distilling , controlled-, and Toffoli Gates
Jeongwan Haah, Matthew B. Hastings
We present several different codes and protocols to distill , controlled-, and Toffoli (or ) gates. One construction is based on codes that generalize the triorthogonal…
Operator Spreading in Random Unitary Circuits
Adam Nahum, Sagar Vijay, Jeongwan Haah
Random quantum circuits yield minimally structured models for chaotic quantum dynamics, able to capture for example universal properties of entanglement growth. We provide exact re…
Magic State Distillation with Low Space Overhead and Optimal Asymptotic Input Count
Jeongwan Haah, Matthew B. Hastings, D. Poulin +1
We present an infinite family of protocols to distill magic states for -gates that has a low space overhead and uses an asymptotic number of input magic states to achieve a give…
Glassy quantum dynamics in translation invariant fracton models
Abhinav Prem, Jeongwan Haah, Rahul Nandkishore
We investigate relaxation in the recently discovered "fracton" models and discover that these models naturally host glassy quantum dynamics in the absence of quenched disorder. We…