Questions tagged [quantum-kernel]
7 questions
4
votes
1 answer
Why do Quantum Kernel Methods work when a large Hilbert space tends to make all samples orthogonal to each other?
I've been doing some exploratory work on quantum kernel methods (I'm a newcomer to the field), and I struggle to reconcile two facts.
As I increase the number of qubits, the Hilbert space becomes so big that most samples tend to be orthogonal to…
aim137
- 43
- 4
4
votes
1 answer
Why is the quantum kernel $\kappa(x,x')=|\langle\phi(x)|\phi(x')\rangle|^2$ defined with a square?
I've always wondered why the quantum kernel method
\begin{equation}\label{QKM1}
\kappa (x,x')=|\langle \phi(x) |\phi(x') \rangle {{|}^{2}}
\end{equation}
must be a square. After reading “Supervised learning with quantum-enhanced feature spaces" by…
Ren-Xin Zhao
- 558
- 3
- 12
1
vote
0 answers
Is there any QML algorithm that performs better than a classical one in practice?
As of today, is there any QML algorithm that performs better than a classical one in practice? I have been looking for quantum neural networks, quantum kernels and quantum CNN, but none so far have come up with a better-performing model than it's…
Albert Nieto
- 11
- 1
1
vote
1 answer
Use quantum feauture map different from ZZFeatureMap
I'm following this tutorial to try and implement a QSVC on the Iris dataset. The tutorial uses ZZFeatureMap to create the kernel with FidelityQuantumKernel, but I want to try and use different feature maps (such as the ones described in Section III…
ZFC
- 11
- 1
1
vote
0 answers
How can I pass multiple embeddings in my function?
I have a problem with my code. I would like to try multiple embeddings in my kernel (I'm using the adjoint method). My idea is to pass them to the function and use them depending on what I pass. Unfortunately, it doesn't work as I think, or I can't…
BootBootBoot
- 93
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0
votes
0 answers
QuantumKernel command has been changed and construct_circuit is no more useful. What can I use instead?
Basically old qiskit-machine learning had QuantumKernel a class that did all the work.(feature_map, traning_parameters, construct_circuit, evalute etc.). However, it's been seperated and changed as BaseKernel, FidelityQuantumKernel, TrainableKernel,…
Ege Tunç
- 19
- 1
0
votes
0 answers
Discarding a Quantum register to extract kernel matrix in practical quantum computer
Question: How to extract a kernel matrix from a quantum state on a real quantum computer through discarding a register?
I am trying to understand the paper "Quantum Support Vector Machine for Big Data Classification" by Rebentrost et al. (2014).…
tra sh
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