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This directory contains a Lean 4 formalization of the support-propagation argument used in the operator-light-cone proposition of the accompanying paper.
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The formalization machine-checks:
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- the graph-neighbourhood and ball construction;
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- the abstract single-step support conditions;
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- the induction bounding the full support after n commutators;
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- the stronger bound on the X/Y support;
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- the binary symplectic representation of finite Pauli strings;
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- the implication from local Pauli anticommutation to the support conditions used by the induction.
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The formalization does not construct the full complex matrix representation of the many-qubit operators or formalize the coefficients and cancellations in the complete nested-commutator expansion.
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