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Combinatorics and more

Gil Kalai · 6 Mar 2026

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  1. My conjecture asserts that nature does not permit such quadratic suppression. Even when entanglement is generated indirectly-through mediating qubits, measurement, feedforward, or clever circuit identities-the resulting Bell state on the two physical qubits still carries an intrinsic order- probability that both qubits are replaced by the maximally mixed state.
  2. If true, this would have severe consequences for quantum error correction: correlated depolarizing noise on pairs of qubits is far more damaging than the quasi-independent noise assumed in threshold theorems.

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