The ZX-calculus is a rigorous graphical language for reasoning about linear maps between qubits, which are represented as string diagrams called ZX-diagrams...

game for the Nintendo DS ZX Tunes, remastered soundtracks of the "Mega Man ZX" game Z/X, Japanese collectible card game ZX-calculus, in quantum computing...

more basic algebras, resulting in a much more compact calculus. In particular, the ZX-calculus has sprung forth from categorical quantum mechanics as...

18M40 in Mathematics Subject Classification 2020), Quantum Picturalism, ZX-calculus, DisCoCat model for natural language, and quantum natural language processing...

circuits. In particular, categorical quantum mechanics (which includes ZX-calculus) is a fully comprehensive reformulation of quantum theory in terms of...

In mathematical logic, the lambda calculus (also written as λ-calculus) is a formal system for expressing computation based on function abstraction and...

{\displaystyle \mathbb {F} _{2}} is isomorphic to the phase-free qubit ZX-calculus modulo scalars. Composition of relations is associative: R ; ( S ; T...

barren plateau phenomenon in training quantum neural networks with the ZX-calculus". Quantum. 5: 466. arXiv:2102.01828. Bibcode:2021Quant...5..466Z. doi:10...

Gordon Plotkin Dana Scott David Spivak Categorical quantum mechanics ZX-calculus DisCoCat Petri net Univalent foundations String diagrams Journals: Compositionality...

important role in quantum technologies, most notably in the form of ZX-calculus. It also has been used to model theories outside of physics, for example...

measurement-based quantum computing and quantum error correction, see ZX-calculus Natural language processing, see DisCoCat Quantum natural language processing...

In vector calculus, the curl, also known as rotor, is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional...

models are monoidal functors from a pregroup grammar to FinVect. FinSet ZX-calculus category of modules Hasegawa, Masahito; Hofmann, Martin; Plotkin, Gordon...

Lambda calculus is a formal mathematical system based on lambda abstraction and function application. Two definitions of the language are given here: a...

This is a list of some vector calculus formulae for working with common curvilinear coordinate systems. This article uses the standard notation ISO 80000-2...

classical arithmetic" 2019 Renaud Vilmart "A Near-Minimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics" 2020 Julien Grange "Successor-Invariant...

In vector calculus, a Laplacian vector field is a vector field which is both irrotational and incompressible. If the field is denoted as v, then it is...

S z 1 c S x − σ xx − σ xy − σ xz 1 c S y − σ yx − σ yy − σ yz 1 c S z − σ zx − σ zy − σ zz ] , {\displaystyle T^{\mu \nu }={\begin{bmatrix}u&{\frac...

'men,' y, 'women' and let + stand for 'and' and 'or' ..." (4) z(x + y) = zx + zy [distributive law] z = European, (x = "men, y = women): European men...

xx e xx + T xy e xy + T xz e xz + T yx e yx + T yy e yy + T yz e yz + T zx e zx + T zy e zy + T zz e zz {\displaystyle {\begin{aligned}\mathbf {T} =\quad...

the growing popularity of much more powerful personal computers, such as ZX Spectrum, these powerful calculators never gained popularity among the general...

coherent state f z ( x ) = e i x t Z x / 2 {\displaystyle {f_{z}(x)=e^{ix^{t}Zx/2}}} in L2, lying in a single orbit of Sp(2n) generated by f i I ( x ) = e...

magnitude to the areas of the projections of the parallelogram onto the yz, zx, and xy planes, respectively. For a and b as vectors in R7, Lagrange's identity...

dz-\sigma _{yx}dx\,dz+\left(\sigma _{zx}+{\frac {\partial \sigma _{zx}}{\partial z}}dz\right)dx\,dy-\sigma _{zx}dx\,dy} After ordering F p x {\displaystyle...

y}-Q_{zz}&Q_{yx}+Q_{xy}&Q_{zx}+Q_{xz}&Q_{zy}-Q_{yz}\\Q_{yx}+Q_{xy}&Q_{yy}-Q_{xx}-Q_{zz}&Q_{zy}+Q_{yz}&Q_{xz}-Q_{zx}\\Q_{zx}+Q_{xz}&Q_{zy}+Q_{yz}&Q_{z...

\nabla T_{z})={\begin{bmatrix}T_{xx}&T_{xy}&T_{xz}\\T_{yx}&T_{yy}&T_{yz}\\T_{zx}&T_{zy}&T_{zz}\end{bmatrix}},{\text{ where }}T_{uv}\equiv {\frac {\partial...

{z^{j}}{(j-1)!}}\\=&{\frac {ze^{zx}}{e^{z}-1}}+ze^{zx}\\=&{\frac {ze^{zx}+ze^{z}e^{zx}-ze^{zx}}{e^{z}-1}}\\=&{\frac {ze^{zx}}{1-e^{-z}}}\end{aligned}}} so...

other classic games, but some programs are more advanced: for example, a ZX Spectrum emulator, a chess-playing program, a symbolic circuit simulator,...

During the 1980s, they developed games for various systems (Oric 1, ZX81, ZX Spectrum, Amstrad CPC, Thomson computers and the Atari ST). The first game...

_{xz}\\\varepsilon _{yx}&\varepsilon _{yy}&\varepsilon _{yz}\\\varepsilon _{zx}&\varepsilon _{zy}&\varepsilon _{zz}\\\end{bmatrix}}={\begin{bmatrix}{\frac...