6 papers
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 --…
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…
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…
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…
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…
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…