17 citations · 23 across the 8 of their papers we have counts for
8 papers
Universal recovery in approximate quantum error correction
Dor Elimelech, Victor V. Albert, Alexander Barg
Universal recovery -- the existence of a single recovery map that corrects an entire family of error channels -- is a central feature of quantum error correction (QEC). In exact QE…
Theory of approximate quantum error correction and the error-set model
Dor Elimelech, Victor V. Albert, Alexander Barg
We develop a theory of approximate quantum error correction (QEC) based on the error-set model, complemented by general methods for code construction. Exact QEC has a powerful erro…
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…
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…
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…