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For questions about quantum algorithms, that is, sequences of quantum gates, operations, and measurements, whose purpose which achieve some goal. Standard examples are Shor's and Grover's algorithms.

6 votes
0 answers
145 views

Why is lattice-based cryptography believed to be hard to solve for quantum computers?

Lattice-based cryptography is said to be the main contender for a post-quantum cryptography framework. It's thought that instead of having to switch everything over to QKD, post-quantum algorithms can …
Steven Sagona's user avatar
8 votes
1 answer
684 views

List of practical quantum computing algorithms that have speed-up higher than quadratic spee...

From this link (provided by @KAJ226's comment in this question), it appears as though current error correction methods are not enough to get practical speedup out of algorithms that have quadratic spe …
Steven Sagona's user avatar
2 votes
4 answers
1k views

Can Grover's algorithm be used to efficiently find elements in unsorted lists?

From my understanding, Grover's algorithm is often misinterpreted as being able to find elements in lists. And when people try to understand the oracle function in terms of this, it leads to confusion …
Steven Sagona's user avatar
2 votes

Is it possible to create a quantum computer with a double-slit or Stern-Gerlach apparatus?

To get a quantum gate with single photons, you need something of the form: $$(|0\rangle+e^{i*0}|1\rangle)|1\rangle \rightarrow (|0\rangle+e^{i\pi}|1\rangle)|1\rangle$$ Putting this in English, it me …
Steven Sagona's user avatar
5 votes
1 answer
269 views

Are there quantum algorithms demonstrating speedup computing classical neural networks (in 2...

It seems like there are a number of different speed-ups for different machine learning algorithms: But has anyone created an algorithm showing speed-up for neural networks? A similar question was ask …
Steven Sagona's user avatar
10 votes
3 answers
903 views

What is the simplest algorithm to demonstrate intuitively quantum speed-up?

What's the simplest algorithm (like Deutsch's algorithm and Grover's Algorithm) for intuitively demonstrating quantum speed-up? And can this algorithm be explained intuitively? Ideally this would be …
Steven Sagona's user avatar
6 votes
1 answer
495 views

Are applications with only polynomial speedup worth chasing after? (since error correction a...

A number of ML algorithms have demonstrated to have polynomial speed-up: But this (I'm assuming) is without error correcting qubits. How practical are algorithms that only exhibit polynomial speed-up …
Steven Sagona's user avatar
6 votes
1 answer
185 views

Claimed "potential revenue" from machine learning in 2023?

In this plot: taken from here, IonQ is claiming to have a potential application in machine learning by 2023. What applications could they have in mind? From what I understand, modern error correction …
Steven Sagona's user avatar