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This is extremely powerful approach, because instead of manipulating algebraic expression, you just manipulate string diagrams according to well defined and rat
by abdullahkhalids 2y ago
This is extremely powerful approach, because instead of manipulating algebraic expression, you just manipulate string diagrams according to well defined and rather simple rules.
For example, large parts of quantum theory, quantum computing and quantum information have been reduced to this diagramatic approach to such a degree that novel research insights are emerging from these techniques. A good introduction is Picturing Quantum Processes [1].
[1] https://www.cambridge.org/gb/universitypress/subjects/physics/quantum-physics-quantum-information-and-quantum-computation/picturing-quantum-processes-first-course-quantum-theory-and-diagrammatic-reasoning?format=HB https://www.cambridge.org/gb/universitypress/subjects/physic...
- elbear 2y agoThe book you linked sounds awesome. Too bad about the price.
- eigenket 2y agoYou can read the paper here which is a decent introduction https://arxiv.org/abs/1510.05468 https://arxiv.org/abs/1510.05468 The (much older) paper Kindergarten Quantum Mechanics is probably the classic in this field https://arxiv.org/abs/quant-ph/0510032 https://arxiv.org/abs/quant-ph/0510032
- elbear 2y agoThank you!
- deleted 2y ago[deleted]
- whooie 2y agoSee also the ZX-calculus, a graphical calculus for reasoning about linear maps applied to qubits (read: quantum circuits) [1]. The ZX-calculus derives its structure from categorical quantum mechanics and has found major use in several areas of quantum information science. [1] https://arxiv.org/abs/2012.13966 https://arxiv.org/abs/2012.13966