Quantum Lego Expansion Pack: Enumerators from Tensor Networks
ChunJun Cao,
Michael J. Gullans,
Brad Lackey
et al.
Abstract:We provide the first tensor-network method for computing quantum weight enumerator polynomials in the most general form. If a quantum code has a known tensor-network construction of its encoding map, our method is far more efficient, and in some cases exponentially faster than the existing approach. As a corollary, it produces decoders and an algorithm that computes the code distance. For non-(Pauli)-stabilizer codes, this constitutes the current best algorithm for computing the code distance. For degenerate s… Show more
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