Publication record · 18.cifr/1996.calderbank.css-qecc
18.cifr/1996.calderbank.css-qeccWe show that good quantum error-correcting codes exist. Specifically, we construct a family of quantum codes that can correct any error affecting a single qubit, and generalize to codes that correct errors affecting up to t qubits. The construction uses pairs of classical binary linear codes and establishes that the quantum channel capacity is positive.
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Explicit CSS families achieving the quantum Hamming bound with efficient decoders remain open. Extensions to qudits, fault-tolerant transversal gates, and threshold theorems for quantum computation (Knill-Laflamme-Zurek, Aharonov-Ben-Or) were flagged as critical follow-on directions.