Ciro Santilli @cirosantilli 40

One direct practical reason is that we need to map the matrix to real quantum hardware somehow, and all quantum hardware designs so far and likely in the future are gate-based: you manipulate a small number of qubits at a time (2) and add more and more of such operations.

While there are "quantum compilers" to increase the portability of quantum programs, it is to be expected that programs manually crafted for a specific hardware will be more efficient just like in classic computers.

TODO: is there any clear reason why computers can't beat humans in approximating any unitary matrix with a gate set?

This is analogous to what classic circuit programmers will do, by using smaller logic gates to create complex circuits, rather than directly creating one huge truth table.

The most commonly considered quantum gates take 1, 2, or 3 qubits as input.

The gates themselves are just unitary matrices that operate on the input qubits and produce the same number of output qubits.

For example, the matrix for the CNOT gate, which takes 2 qubits as input is:

The final question is then: if I have a 2 qubit gate but an input with more qubits, say 3 qubits, then what does the 2 qubit gate (4x4 matrix) do for the final big 3 qubit matrix (8x8)? In order words, how do we scale quantum gates up to match the total number of qubits?

The intuitive answer is simple: we "just" extend the small matrix with a larger identity matrix so that the sum of the probabilities third bit is unaffected.

More precisely, we likely have to extend the matrix in a way such that the partial measurement of the original small gate qubits leaves all other qubits unaffected.

For example, if the circuit were made up of a CNOT gate operating on the first and second qubits as in:

then we would just extend the 2x2 CNOT gate to:

TODO lazy to properly learn right now. Apparently you have to use the Kronecker product by the identity matrix. Also, zX-calculus appears to provide a powerful alternative method in some/all cases.

Bibliography:

Some good mentions at: Video "Where is Anatomy Encoded in Living Systems? by Michael Levin (2022)".

It should be illegal to give someone money to advertise your product.

We should just use tags and upvote-based algorithms.

Advertisement is a form of brainwashing.

TODO find Sergey Brin quote bout advertising being a form of perverting search engine ranking neutrality. In other words, there are neutral metrics to what people find good, like links and upvotes. And then advertising is a way to pervert that to someone's profit.

Sometimes Ciro Santilli thinks advertising should be on-subscription only, but that is too restrictive, e.g. imagine the local business owner who wears a t-shirt of their business.

Reproducible builds allow anyone to verify that a binary large object contains what it claims to contain!

Bibliography:

This being a class is bullshit because it is not a clade, notably birds are not considered reptiles, but they are clearly in the clade.

Materials paywalled: www.cs.ox.ac.uk/teaching/courses/2022-2023/com

"AtomSea & EMBII" refers to an upload system for various media types includeing text, images, HTML pages and audio.

The official name used by its creators for the protocol is P2FK (Pay To Future Key).

The name "AtomSea & EMBII" is a reference to the online handles of its creators. That string appears to be added as padding in the protocol and is therefore visible repeatebly in the blockchain, though it is sometimes cut up a bit. The following online profiles of the creators feel authentic:Tried saying hi to them at: twitter.com/cirosantilli/status/1382080760774033415 and they replied: twitter.com/AllenVandever/status/1563964396656812034

The feature-set of their protocol is impressive:Basically they've created a fully descentralized Bitcoin-based social media. Their system is basically a sligly more clunky superset of Ordinal ruleset inscriptions, just way older and way less known for whatever reason.

Each P2FK inscription is done over P2FKH payloads. Each inscription a toplevel transaction which links to other transactions. All the linked transactions together make up the payload. The most common payload type is a text plus image, as is the case of Nelson-Mandela.jpg, which can be seen at bitfossil.org/root/78f0e6de0ce007f4dd4a09085e649d7e354f70bc7da06d697b167f353f115b8e/ where 78f0e6de0ce007f4dd4a09085e649d7e354f70bc7da06d697b167f353f115b8e is the toplevel transaction ID: www.blockchain.com/btc/tx/78f0e6de0ce007f4dd4a09085e649d7e354f70bc7da06d697b167f353f115b8e See Section "Nelson-Mandela.jpg" for a detailed reverse engineering of the format, and Section "AtomSea & EMBII data format" for a summary of it.

The system shows the messages and the images on a single page: bitfossil.org/root/4cbb32cd27b5b5edc12d3559bdffc1355ac2a210463d5cfaadc7ce9b06675b2b/index.htm It is basically a blockchain-based Twitter.

Somewhat related projects:

At twitter.com/EMBII4U/status/1762501350997233976 (2024) EMBII mentions that he was inspired by the Satoshi uploader.

Interesting layer skip architecture thing.

Apparently destroyed ImageNet 2015 and became very very famous as such.

Bibliography: