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ProductFormula

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

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Bases: qiskit.synthesis.evolution.evolution_synthesis.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

abstract ProductFormula.synthesize(evolution)

Synthesize an qiskit.circuit.library.PauliEvolutionGate.

Parameters

evolution (PauliEvolutionGate) – The evolution gate to synthesize.

Returns

A circuit implementing the evolution.

Return type

QuantumCircuit


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.

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