QDrift
qiskit.synthesis.QDrift(reps=1, insert_barriers=False, cx_structure='chain', atomic_evolution=None, seed=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 (opens in a new tab)
Parameters
- reps (int (opens in a new tab)) – The number of times to repeat the Trotterization circuit.
- insert_barriers (bool (opens in a new tab)) – Whether to insert barriers between the atomic evolutions.
- cx_structure (str (opens in a new tab)) – 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 (Callable (opens in a new tab)[[Pauli |SparsePauliOp, float (opens in a new tab)], QuantumCircuit] | None) – A function to construct the circuit for the evolution of single Pauli string. Per default, a single Pauli evolution is decomposed in a CX chain and a single qubit Z rotation.
- seed (int (opens in a new tab) | None) – An optional seed for reproducibility of the random sampling process.
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 (opens in a new tab) – If a custom atomic evolution is set, which cannot be serialized.
Methods
synthesize
synthesize(evolution)
Synthesize an qiskit.circuit.library.PauliEvolutionGate.
Parameters
evolution (PauliEvolutionGate) – The evolution gate to synthesize.
Returns
A circuit implementing the evolution.
Return type