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Mark C.
@Unprovable
- 666 Followers
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Researcher/Consultant in security and more. Jazz thinker w/out portfolio. Looks at ML, web3, and quantum - within and without cybersecurity. Started BSides Leeds, now helping with Quantum Village @ DEF CON
Gazing into a crystal ball, this maths could be very useful. A quaternionic take on the qubit, the symplectic bit or 'symbit' has some very nifty properties, mostly arising from the fact that U(N) is a subgroup of the symplectic group Sp(2N, R). There's even a nifty mapping from qubits to symbits 👍
Quantum vs. Symplectic Computers
In this paper, we propose the concept of symplectic computers, which have the potential to be more powerful than quantum computers. Unlike quantum computing, which consists of a sequence of unitary transformations (gates) and projectors (measurements), symplectic computation involves a sequence of symplectic transformations and measurements. The proposal to explore symplectic computers is based on the following quantum-symplectic duality. The Schrödinger equation in its standard complex form describes the unitary evolution of a quantum system, while its real form describes the symplectic evolution of a classical mechanical system. This quantum-symplectic duality can be leveraged to enhance the capabilities of quantum and symplectic computers. In this symplectic approach, the role of a quantum bit (qubit) is taken by a symplectic bit (symbit).
Mathematician giving a lecture: "So you see, a C*-algebra is just a Banach algebra that is also a closed *-subalgebra of the algebra of bounded operators on some given Hilbert space..."
Physicists:
Physicists:
Something I wrote for Quantum Village: A first glance at Quantum Crime!
The main technical point is that; If quantum is coming for your stored data, it's coming for your identity, too! It's fun to explore how crime will adopt #quantum technologies - especially from a tjreet modelling perspective! ;)
https://quantumvillage.substack.com/p/quantum-crime-a-first-glance
Only a few chapters into Feyerabend's Against Method for the first time - makes quite the impact and start for sure! Fascinating thinking and some very valid critique even today about how science is done, and how a more daring mindset might push us further.
The answer is correct, but the reasoning is totally wrong 😜 Quite a few people would say "C: not enough info" when asked. Anyone who's done a load of logic gets the answer "A: yes" pretty quickly, but for the right reasons. 😅
It's interesting as there's some claim that ChatGPT 'understands' fragments of logic - yet here it is, making erroneous assumptions about transitivity that most people wouldn't make the mistake of.
