Integrating Tensorflow and Qiskit for Quantum Machine Learning: Taking a step towards quantum machine learning. In this article, we will be talking about integrating Qiskit in custom Keras layers.
There exist two popular integrations of quantum computing packages in standard deep learning libraries:
In this article, we will be talking about integrating Qiskit in custom Keras layers.
Quantum machine learning has an interesting application of assisting classical neural networks with quantum layers that involve computation not realisable classically. Recent work in academia has stressed on applications of _quantum-assisted deep learning _which can have complex activations, better representation, and other salient features not achievable in classical networks.
For the implementation side, this means finding a way to integrate quantum processing in normal deep neural networks. Several ways exist to achieve this. Here, we discuss integrating Qiskit as subclasses of Keras layers. Let’s get started.
This obviously depends on specific application. The thing to keep in mind is to be consistent in the inputs and outputs this layer has. With
eager_execution as default in Tensorflow 2.x, it is only natural to fall back to
numpy arrays as our default inputs to and outputs from all quantum layers.
from qiskit.aqua.operators import Z, Y, X from qiskit.aqua.operators import StateFn QUBITS = 4 operatorZ = Z ^ Z ^ Z ^ Z operatorX = X ^ X ^ X ^ X operatorY = Y ^ Y ^ Y ^ Y def quantum_layer(initial_parameters): ## expecting parameters to be a numpy array quantumRegister = QuantumRegister(QUBITS) quantumCircuit = QuantumCircuit(quantumRegister) quantumCircuit.h(range(4)) for i in range(len(initial_parameters)): quantumCircuit.ry(initial_parameters[i] * np.pi, i) psi = StateFn(quantumCircuit) ## two ways of doing the same thing expectationX = (~psi @ operatorX @ psi).eval() expectationZ = psi.adjoint().compose(operatorZ).compose(psi).eval().real expectationY = (~psi @ operatorY @ psi).eval() expectationZ = np.abs(np.real(expectationZ)) expectations = [expectationX, expectationY, expectationZ, expectationX + expectationY + expectationZ] return np.array(expectations) view raw quantum_layer.py hosted with ❤ by GitHub
Sample quantum layer
This is an arbitrary quantum layer taking in four inputs and outputting a numpy array of length 4. We calculate the expectations of standard Pauli operators, create a list, and return it. This layer would change according to the specifics of the underlying application.
Quantum Machine Learning: learning on neural networks. Analytical gradient computation, the Hadamard test, and more. This time, we’re going a little deeper into the rabbit hole and looking at how to build a neural network on a quantum computer.
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