QDrift

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

Bases: 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

Synthesize an qiskit.circuit.library.PauliEvolutionGate.

Attributes

settings

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

Returns

A dictionary containing the settings of this product formula.

Raises

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