Shor
Shor(N=15, a=2, quantum_instance=None)
Shor’s factoring algorithm.
Shor’s Factoring algorithm is one of the most well-known quantum algorithms and finds the prime factors for input integer in polynomial time.
The input integer to be factored is expected to be odd and greater than 2. Even though this implementation is general, its capability will be limited by the capacity of the simulator/hardware. Another input integer can also be supplied, which needs to be a co-prime smaller than .
Adapted from https://github.com/ttlion/ShorAlgQiskit(opens in a new tab)
See also https://arxiv.org/abs/quant-ph/0205095(opens in a new tab)
Parameters
-
N (
int) – The integer to be factored, has a min. value of 3. -
a (
int) – A random integer that satisfies a < N and gcd(a, N) = 1, has a min. value of 2. -
quantum_instance (
Union[QuantumInstance,BaseBackend,None]) –Quantum Instance or Backend
Raises:
ValueError: Invalid input
Attributes
backend
quantum_instance
Union[None, qiskit.aqua.quantum_instance.QuantumInstance]
Returns quantum instance.
Return type
Optional[QuantumInstance]
random
Return a numpy random.
Methods
construct_circuit
Shor.construct_circuit(measurement=False)
Construct circuit.
Parameters
measurement (bool) – Boolean flag to indicate if measurement should be included in the circuit.
Return type
Returns
Quantum circuit.
run
Shor.run(quantum_instance=None, **kwargs)
Execute the algorithm with selected backend.
Parameters
- quantum_instance (
Union[QuantumInstance,BaseBackend,None]) – the experimental setting. - kwargs (dict) – kwargs
Returns
results of an algorithm.
Return type
dict
Raises
AquaError – If a quantum instance or backend has not been provided
set_backend
Shor.set_backend(backend, **kwargs)
Sets backend with configuration.
Return type
None