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ProductFormula

class ProductFormula(order, reps=1, insert_barriers=False, cx_structure='chain', atomic_evolution=None)[source]

Bases: EvolutionSynthesis

Product formula base class for the decomposition of non-commuting operator exponentials.

LieTrotter and SuzukiTrotter inherit from this class.

Parameters
  • order (int) -- The order of the product formula.

  • reps (int) -- The number of time steps.

  • insert_barriers (bool) -- Whether to insert barriers between the atomic evolutions.

  • cx_structure (str) -- How to arrange the CX gates for the Pauli evolutions, can be "chain", where next neighbor connections are used, or "fountain", where all qubits are connected to one.

  • atomic_evolution (Optional[Callable[[Union[Pauli, SparsePauliOp], float], QuantumCircuit]]) -- A function to construct the circuit for the evolution of single Pauli string. Per default, a single Pauli evolution is decomopsed in a CX chain and a single qubit Z rotation.

Methods

synthesize

Synthesize an qiskit.circuit.library.PauliEvolutionGate.

Attributes

settings

Return the settings in a dictionary, which can be used to reconstruct the object.

Return type

Dict[str, Any]

Returns

A dictionary containing the settings of this product formula.

Raises

NotImplementedError -- If a custom atomic evolution is set, which cannot be serialized.