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Questions tagged [encoding]

For questions that are about representing a physical quantity as a quantum state. For instance, questions about amplitude encoding, state encoding or fermion to qubit encoding should use this tag.

0 votes
1 answer
47 views

Why a basis in super dense quantum coding?

In the classical super dense quantum coding scheme of Bennet and Wiesner (1992), the authors start from an element in the Bell base (which consists of $4 = 2^2 = 2 \times 2$ states, in dimension $4$), ...
Melville's user avatar
  • 101
1 vote
0 answers
27 views

Do encoding schemes for variational algorithms apply to annealing methods (e.g. DWave)?

I understand there are some efficient encoding schemes for variational algorithms, that attempt to approximate the variational state using fewer qubits. I'm thinking of 2 papers in particular, which ...
IsalanOnkar's user avatar
0 votes
1 answer
87 views

How to introduce non-linearity into a quantum circuit?

What are the known ways to encode or introduce non-linear functions/operators into a quantum circuit?
ty.'s user avatar
  • 143
0 votes
0 answers
30 views

Quantum data as input for Quantum Neural Net

I'm new to quantum machine learning, and I wanted to know how quantum data is processed in a quantum neural net. For example, if I am training a QNN to classify entangled circuits from non-entangled ...
beginnerCoder7's user avatar
0 votes
0 answers
27 views

How can I decode a ZZFeatureMap?

I've encoded a basic 2x2 image into a quantum circuit using a ZZFeatureMap in Qiskit. Is there any way I can verify that this encoding was correctly done? My first thought was to try to decode this ...
Harshil Avlani's user avatar
2 votes
2 answers
592 views

Preparation of logical state with qLDPC code

I'm recently learning qLDPC code. Although I've seen literature talking about the code construction, parity check, possible logical operation and decoding. How exactly do I prepare e.g. a logical phi ...
AndyLiuin's user avatar
  • 386
3 votes
1 answer
64 views

A matrix that can be simultaneously diagonalisable can induce a decomposition of its space

Potentially "space" is not the correct word to use in the title, please correct if wrong I am reading "Quantum Error Correction Via codes over Gf(4)" and I came across something I ...
am567's user avatar
  • 631
0 votes
1 answer
49 views

Does the fact that the elements of the normalizer group commute with elements of the stabilizer group imply that the normalizer is abelian?

The following question is from a paper I am reading called "Quantum Error Correction Via Codes Over GF(4)" It says: Let $E$ be the quantum error group. Let $S' \leqslant E$ which specifies ...
am567's user avatar
  • 631
2 votes
2 answers
126 views

Visualize the qubit state after amplitude encoding

I trying to visualize qubits state after amplitude encoding. I have the following code which takes the 8 feature [1/2, 1/2, 1/2, 1/2,1/2, 1/2,1/2,1/2] and encodes into 3 qubits. I now get the output [...
kannan quantum's user avatar
0 votes
0 answers
64 views

Is efficient state preparation possible for binary states?

Binary Vector Definition: A vector where each entry has one of 2 possible values: $\{0, \dfrac{1}{\sqrt{K}}\}$. Where $K$ is the number of non zero entries. Question Is there anything special about ...
bubakazouba's user avatar
1 vote
1 answer
52 views

How to best represent 5-Qbit codeword operator in Qiskit [duplicate]

We learned that in the 5-Qibit error correcting code, the logical zero state $ | \bar{0} \rangle $ is encoded in the form of $ \frac{1}{4} (\mathbb{1}+M_0)(\mathbb{1}+M_1)(\mathbb{1}+M_2)(\mathbb{1}+...
Blackwidow's user avatar
0 votes
0 answers
35 views

Derivation of complexity for data encoding schemes

Could anyone help to derive the space-time complexities of the following different data encoding schemes ?
kevin's user avatar
  • 7
0 votes
1 answer
518 views

Encoding classical data to quantum space

I went through the link " https://learn.qiskit.org/course/ch-applications/hybrid-quantum-classical-neural-networks-with-pytorch-and-qiskit" where a hybrid of classical and quantum ...
user14924's user avatar
  • 317
3 votes
2 answers
3k views

How does one perform amplitude encoding using only unitary gates?

How does one perform amplitude encoding using only unitary gates ? Could you show me a concrete example ?
Duen's user avatar
  • 436
2 votes
2 answers
209 views

Grover's algorithm to maximize QUBO functions

I'm trying to maximize a QUBO function f(x,y,z) = 3xy + 4xz - 3yz + 11y + z. How can I use Grover's algorithm to do this? I've been told to encode this cost ...
Van Peer's user avatar
  • 577

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