activity
20232026
most citedQuantum Lego and XP Stabilizer Codes

2 citations · 3 across the 7 of their papers we have counts for

collaborators

8 papers

quant-ph2026

From Syndromes to Computation: A General Framework for Logical Operations in Quantum Error-Correcting Codes

Hunter Nelson, Arshag Danageozian, ChunJun Cao +2

Fault-tolerant quantum computation requires error-correcting codes that not only protect quantum information but also support useful logical operations with practical physical real…

quant-ph2026

Quantum Lego Power-up: Designing Transversal Gates with Tensor Networks

ChunJun Cao, Brad Lackey

Transversal gates are the simplest form of fault-tolerant gates and are relatively easy to implement in practice. Yet designing codes that support useful transversal operations --…

quant-ph2025

Quantum Anticodes

ChunJun Cao, Giuseppe Cotardo, Brad Lackey

This work introduces a symplectic framework for quantum error correcting codes in which local structure is analyzed through an anticode perspective. In this setting, a code is trea…

quant-ph2025

Growing Sparse Quantum Codes from a Seed

ChunJun Cao, Brad Lackey

It is generally unclear whether smaller codes can be "concatenated" to systematically create quantum LDPC codes or their sparse subsystem code cousins where the degree of the Tanne…

quant-ph2025

Universal fault-tolerant logic with heterogeneous holographic codes

Matthew Steinberg, Junyu Fan, Jens Eisert +3

The study of holographic bulk-boundary dualities has led to the construction of novel quantum error correcting codes. Although these codes have shed new light on conceptual aspects…

quant-ph2024★ 1 cited

LEGO_HQEC: Automating the Analysis, Construction, and Decoding of Holographic Quantum Codes

Junyu Fan, Matthew Steinberg, Alexander Jahn +3

Quantum error correction (QEC) is a crucial prerequisite for future large-scale quantum computation. Finding and analyzing new QEC codes, along with efficient decoding and fault-to…

quant-ph2024

Biased-Noise Thresholds of Zero-Rate Holographic Codes with Tensor-Network Decoding

Junyu Fan, Matthew Steinberg, Alexander Jahn +2

A crucial insight for practical quantum error correction is that different types of errors, such as single-qubit Pauli operators, typically occur with different probabilities. Find…

quant-ph2023★ 2 cited

Quantum Lego and XP Stabilizer Codes

Ruohan Shen, Yixu Wang, ChunJun Cao

We apply the recent graphical framework of "Quantum Lego" to XP stabilizer codes where the stabilizer group is generally non-Abelian. We show that the idea of operator matching con…