6 papers · 1 filter
Breaking the bicycle frame: Coset-based quantum LDPC codes
Arda Aydin, Itzhak Tamo, Alexander Barg
Generalizing the construction of two-block group algebra (2BGA) codes, we introduce a family of two-block quantum LDPC codes constructed using the action of a group on the cosets o…
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…
Cyclic Hypergraph Product Code
Arda Aydin, Nicolas Delfosse, Edwin Tham
Hypergraph product (HGP) codes are one of the most popular family of quantum low-density parity-check (LDPC) codes. Circuit-level simulations show that they can achieve the same lo…
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…
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…
A family of permutationally invariant quantum codes
Arda Aydin, Max A. Alekseyev, Alexander Barg
We construct a new family of permutationally invariant codes that correct Pauli errors for any . We also show that codes in the new family correct quantum deletion erro…