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HamiltonianCosts Type

Comprehensive cost metrics for a Hamiltonian in Pauli basis.

These metrics are encoding-dependent — comparing them across encodings reveals which encoding minimises a given cost for a particular molecule.

Record fields

Record Field Description

IdentityCoeff

Full Usage: IdentityCoeff

Field type: float

Coefficient of the all-identity term (global energy offset).

Field type: float

LambdaNorm

Full Usage: LambdaNorm

Field type: float

LCU 1-norm: Σ|cₖ|. Governs qubitization query complexity.

Field type: float

MaxPauliWeight

Full Usage: MaxPauliWeight

Field type: int

Maximum Pauli weight (non-identity count) across all terms.

Field type: int

MeanPauliWeight

Full Usage: MeanPauliWeight

Field type: float

Mean Pauli weight across all terms.

Field type: float

QubitCount

Full Usage: QubitCount

Field type: int

Number of qubits the Hamiltonian acts on.

Field type: int

TermCount

Full Usage: TermCount

Field type: int

Number of distinct Pauli terms (after like-term combination).

Field type: int

TotalPauliWeight

Full Usage: TotalPauliWeight

Field type: int

Sum of Pauli weights across all terms. Proxy for total CNOT cost in Trotter.

Field type: int

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