4 papers
Asymptotically good bosonic Fock state codes
Dor Elimelech, Arda Aydin, Alexander Barg
We study the error-correction properties of multi-mode Fock-state codes under amplitude-damping (AD) noise, focusing on the asymptotic regime in which the total excitation of the c…
Quantum error correction beyond : spin, bosonic, and permutation-invariant codes from convex geometry
Arda Aydin, Victor V. Albert, Alexander Barg
We develop a framework for constructing quantum error-correcting codes and logical gates for three types of spaces -- composite permutation-invariant spaces of many qubits or qudit…
Targeted Clifford logical gates for hypergraph product codes
Adway Patra, Alexander Barg
Starting with an explicit framework for designing logical Clifford circuits for CSS codes, we construct logical gates for Hypergraph Product Codes. We first derive symplectic matri…
Class of codes correcting absorptions and emissions
Arda Aydin, Alexander Barg
We construct a general family of quantum codes that protect against all emission, absorption, dephasing, and raising/lowering errors up to an arbitrary fixed order. Such codes are…