Here is a list of good QLDPC codes.
Code Description
Dinur-Hsieh-Lin-Vidick (DHLV) code Stub.
Expander lifted-product code Family of \(G\)-lifted product codes constructed using two random classical Tanner codes defined on expander graphs. For certain parameters, this construction yields the first asymptotically good QLDPC codes. Classical codes resulting from this construction are one of the first two families of \(c^3\)-LTCs.
Quantum Tanner code Member of a family of QLDPC codes based on two compatible classical Tanner codes defined on a two-dimensional Cayley complex. For certain choices of codes and complex, the resulting codes have asymptotically good parameters.
Topological code Stub.
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Classical Domain

  • Binary Kingdom
  • Galois-field Kingdom
  • Matrix Kingdom
  • Analog Kingdom
  • Spherical Kingdom
  • Ring Kingdom
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Quantum Domain

  • Qubit Kingdom
  • Modular-qudit Kingdom
  • Galois-qudit Kingdom
  • Bosonic Kingdom
  • Spin Kingdom
  • Group Kingdom
  • Category Kingdom

Classical-quantum Domain

  • Binary c-q Kingdom
  • Bosonic/analog c-q Kingdom

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