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20232026
most citedA family of permutationally invariant quantum codes

17 citations · 22 across the 7 of their papers we have counts for

collaborators

7 papers

quant-ph2026

Soft decoding for quantum LDPC codes with experimental validation

Arda Aydin, Edwin Tham, Nicolas Delfosse +1

The decoder is a critical component of a fault-tolerant quantum computer, computing corrections based on parity-check measurements performed throughout the computation. A soft deco…

quant-ph2026

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…

quant-ph2026

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…

quant-ph2025

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…

quant-ph2025★ 1 cited

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…

quant-ph2024★ 4 cited

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…

quant-ph2023★ 17 cited

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…