QuantumComputingBench · graph-grounded exercise book
Hamiltonian Composition
Follow the roles of input states, operator access, polynomial transformations and output interpretation. Source-only algorithm questions keep their assumptions and query/gate/readout boundaries explicit.
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These links open the shared core's formal companion panel. Each card distinguishes admitted fixed-reference views from pending formalization. Preserve the exact core contract and split; a formal view is not another core.
train · proof · formal view pending
Let S and T be Hermitian matrices on one finite system and X a Hermitian matrix on a second system. Prove that H=S tensor X+T tensor I is Hermitian without assuming that S and T commute. Give a counterexample showing tha…
nl bridge from inspected source