9 votes
Accepted

What exactly does it mean to embed classical data into a quantum state?

First it is instructive to ask oneself: "how does classical data get into my computer?" In a classical computer, your data is always stored in bits. Because calculations in base 2 are not very ...
Johannes Jakob Meyer's user avatar
5 votes
Accepted

When and where was the first use of the term Chimera?

The earliest non-internal reference I can find is in NIPS 2009 from a Google/D-Wave effort1. You'll notice that the two Choi papers, in addition to not using the term "Chimera", do not describe a ...
Andrew D. King's user avatar
5 votes

How to create a quantum circuit with 800+ features using PennyLane

You are asking numpy to initialize an array with dimension greater than $2^{896} \approx 5 \times 10^{269}$. For reference, it is thought that there are maybe $10^{82}$ or so atoms in the observable ...
forky40's user avatar
  • 6,718
4 votes
Accepted

Are there established best practices for designing Dwave embeddings?

There are multiple factors that affect an embedding's performance, including what Davide mentions. Depending on your background, the following interpretation of Davide's answer might be easier for ...
Andrew D. King's user avatar
4 votes

Are there established best practices for designing Dwave embeddings?

On parameter setting, check our work: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.5.031040 (Basically you want to make sure that the chains representing the logical qubit have a phase ...
Davide Venturelli's user avatar
3 votes
Accepted

Quantum circuit for the ZZ feature map

By the definition of $U1(\lambda) $ in qiskit, it is equivalent to $RZ$ up up a phase factor . Now note that: $$Z_0 Z_1 = Z \otimes Z = \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix} \otimes \...
KAJ226's user avatar
  • 13.8k
2 votes

What is the "TRIAD" graph and where can I find more information about it?

Here I found a few resources talking about TRIAD which is a minor embedding technique Vicky Choi introduced : Optimizing Adiabatic Quantum Program Compilation using a Graph-Theoretic Framework Minor-...
cnada's user avatar
  • 4,754
2 votes
Accepted

Normalize and encode real data in a way that encode collinear vectors with different values

I'm not sure such a one-to-one function exists. However, it is quite easy to do if you allow yourself to use more than $\log_2(n)$ qubits. You can add a register which, up to a given precision, holds ...
Tristan Nemoz's user avatar
  • 6,162
2 votes

Data embedding using IBM quantum composer

One way to do it is to use the initialize function then decomposed the circuit and print out the qasm code and pull it over to the composer... There was a similar ...
KAJ226's user avatar
  • 13.8k
1 vote

Input datas into a ZZFeatureMap

As you already noticed, we use QuantumCircuit.bind_parameters() method to encode our classical dataset as rotations on ...
Egretta.Thula's user avatar
1 vote

Normalize and encode real data in a way that encode collinear vectors with different values

As the previous answer mentions, the right way to approach this depends on what kind of algorithm you are going to run on the amplitude encoded vectors. One possibility: If you're trying to classify ...
forky40's user avatar
  • 6,718
1 vote

Why is it so important to have uniform chain lengths in a minor embedding?

Short story: From the mathematical point of view, it is not necessary at all. There don't even need to be chains in the embedding; it can be arbitrary (disjoint, connected) subgraphs. From the ...
Ello's user avatar
  • 11
1 vote

Why is it so important to have uniform chain lengths in a minor embedding?

It could be related to chain strengths. For longer chains, you might need to set a higher chain strength, than for shorter. If you have chains of different sizes, then chain strengths will differ. ...
fishboi's user avatar
  • 11

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