280 citations · 1.9k across the 78 of their papers we have counts for
11 papers · 1 filter
Mitigating Coherent Noise by Balancing Weight-2 -Stabilizers
Jingzhen Hu, Qingzhong Liang, Narayanan Rengaswamy +1
Physical platforms such as trapped ions suffer from coherent noise where errors manifest as rotations about a particular axis and can accumulate over time. We investigate passive m…
Approximate Unitary 3-Designs from Transvection Markov Chains
Xinyu Tan, Narayanan Rengaswamy, Robert Calderbank
Unitary -designs are probabilistic ensembles of unitary matrices whose first statistical moments match that of the full unitary group endowed with the Haar measure. In prior…
The Secret Arithmetic of Patterns: A General Method for Designing Constrained Codes Based on Lexicographic Indexing
Ahmed Hareedy, Beyza Dabak, Robert Calderbank
Constrained codes are used to prevent errors from occurring in various data storage and data transmission systems. They can help in increasing the storage density of magnetic stora…
Power Spectra of Constrained Codes with Level-Based Signaling: Overcoming Finite-Length Challenges
Jessica Centers, Xinyu Tan, Ahmed Hareedy +1
Constrained codes are used to eliminate error-prone patterns in various practical systems. Recently, we introduced efficient binary symmetric lexicographically-ordered constrained…
Hierarchical Coding for Cloud Storage: Topology-Adaptivity, Scalability, and Flexibility
Siyi Yang, Ahmed Hareedy, Robert Calderbank +1
In order to accommodate the ever-growing data from various, possibly independent, sources and the dynamic nature of data usage rates in practical applications, modern cloud data st…
Un-Weyl-ing the Clifford Hierarchy
Tefjol Pllaha, Narayanan Rengaswamy, Olav Tirkkonen +1
The teleportation model of quantum computation introduced by Gottesman and Chuang (1999) motivated the development of the Clifford hierarchy. Despite its intrinsic value for quantu…