7 papers · 1 filter
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 --…
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…
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…
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…
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…