QDrift
class QDrift(reps=1, insert_barriers=False, cx_structure='chain', atomic_evolution=None)
Bases: qiskit.synthesis.evolution.product_formula.ProductFormula
The QDrift Trotterization method, which selects each each term in the Trotterization randomly, with a probability proportional to its weight. Based on the work of Earl Campbell in Ref. [1].
References
[1]: E. Campbell, “A random compiler for fast Hamiltonian simulation” (2018). arXiv:quant-ph/1811.08017
Parameters
- reps (
int) – The number of times to repeat the Trotterization circuit. - 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
QDrift.synthesize(evolution)
Synthesize an qiskit.circuit.library.PauliEvolutionGate.
Parameters
evolution (PauliEvolutionGate) – The evolution gate to synthesize.
Returns
A circuit implementing the evolution.
Return type
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.