9 citations · 13 across the 6 of their papers we have counts for
8 papers
Synchronizable hybrid subsystem codes
Theerapat Tansuwannont, Andrew Nemec
Quantum synchronizable codes are quantum error correcting codes that can correct not only Pauli errors but also errors in block synchronization. The code can be constructed from tw…
A Hamming-Like Bound for Degenerate Stabilizer Codes
Andrew Nemec, Theerapat Tansuwannont
The quantum Hamming bound was originally put forward as an upper bound on the parameters of nondegenerate quantum codes, but over the past few decades much work has been done to sh…
Quantum Data-Syndrome Codes: Subsystem and Impure Code Constructions
Andrew Nemec
Quantum error correction requires the use of error syndromes derived from measurements that may be unreliable. Recently, quantum data-syndrome (QDS) codes have been proposed as a p…
A Combinatorial Interpretation for the Shor-Laflamme Weight Enumerators of CWS Codes
Andrew Nemec, Andreas Klappenecker
We show that one of the Shor-Laflamme weight enumerators of a codeword stabilized quantum code may be interpreted as the distance enumerator of an associated classical code.
Encoding Classical Information in Gauge Subsystems of Quantum Codes
Andrew Nemec, Andreas Klappenecker
We show how to construct hybrid quantum-classical codes from subsystem codes by encoding the classical information into the gauge qudits using gauge fixing. Unlike previous work on…
Nonbinary Error-Detecting Hybrid Codes
Andrew Nemec, Andreas Klappenecker
Hybrid codes simultaneously encode both quantum and classical information, allowing for the transmission of both across a quantum channel. We construct a family of nonbinary error-…
Infinite Families of Quantum-Classical Hybrid Codes
Andrew Nemec, Andreas Klappenecker
Hybrid codes simultaneously encode both quantum and classical information into physical qubits. We give several general results about hybrid codes, most notably that the quantum co…
Hybrid Codes
Andrew Nemec, Andreas Klappenecker
A hybrid code can simultaneously encode classical and quantum information into quantum digits such that the information is protected against errors when transmitted through a quant…