Rick tells Morty, “That book has everything they need to create snake time travel” set to a backdrop containing markings reminiscent of odd hieroglyphics on a chalkboard. These markings are actually redrawn from diagrammatic equations appearing in Jacob Biamonte’s book, Quantum Tensor Networks. For reasons described in the book, certain classes of equations admit a formal diagramatic calculus. The equations[…]
Our book is now available through World Scientific Publishing. A preprint of the book remains open access on the arXiv and here. The book was published as Quantum Techniques in Stochastic Mechanics John C. Baez and Jacob D. Biamonte World Scientific Publishing, 276 pages (2018) [link to get the book from WS] The book constructs[…]
D-Wave Systems Inc. builds annealing devices that exhibit quantum effects. These devices as well as other physical systems implement a programmable Ising model of the form.
\begin{equation}
H = \sum_i c_i Z_i+\sum_{ ij} c_{ij}Z_iZ_j
\end{equation} […]
Tensor networks gave rise to efficiently compact representations for certain classes of quantum states, and provide a graphical language to reason about quantum processes.
The methods reach outside of physics to large areas of computer science and even more recently have found applications in complex networks. […]