There exist mainly three forms of no-go theorems for local hidden variable theories.

Among other no-go theorems in quantum information are:

Beating no-go theorems by engineering defects in quantum spin models (2014)

Thus, we will discuss here the three principal forms of no-go theorems for local hidden variable theories of Nature.

The off-shell extension of string scattering amplitudes was thought to be impossible because of a no-go theorem.

In theoretical physics, a no-go theorem is a theorem that states that a particular situation is not physically possible.

Bell's theorem is no-go theorem of quantum mechanics that concerns the existence or non-existence local hidden variables.

Weinberg and Witten, on the other hand, developed a no-go theorem that excludes, under very general assumptions, the hypothetical composite and emergent theories.

No-go theorems like the Weinberg-Witten theorem which in the continuum forbid the unification of spatial and inner symmetries do not apply.

From No-Go Theorems to Supersymmetry Algebra", Kar."

Although almost every physicist knows the consequences of these no-go theorems, not every physicist is aware of the distinctions between the three or even their exact definitions.

Bell's theorem is a 'no-go theorem' that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics.

The Coleman-Mandula theorem, named after Sidney Coleman and Jeffrey Mandula, is a no-go theorem in theoretical physics.

Several physics concepts are named after him, e.g. Nielsen-Olesen Vortex and the Nielsen-Ninomiya no-go theorem for representing chiral fermions on the lattice.

This no-go theorem of quantum mechanics was articulated by Wootters and Zurek and Dieks in 1982, and has profound implications in quantum computing and related fields.

As a postdoc at Cornell University, he and David Mermin (and independently of Pierre Hohenberg) proved a "no-go theorem", otherwise known as the Mermin-Wagner theorem.

The Nielsen-Ninomiya theorem is a no-go theorem in physics, in particular in lattice gauge theory, concerning the possibility of defining a theory of chiral fermions on a lattice in even dimensions.

In physics, the no-deleting theorem of quantum information theory is a no-go theorem which states that, in general, given two copies of some arbitrary quantum state, it is impossible to delete one of the copies.

It is important to emphasize that the HMI is not in conflict with the existing no-go theorems, and this precisely because if considered as a hidden-variables theory, the hidden-variables are not associated with the state of the entity.

In physics, the no-communication theorem is a no-go theorem from quantum information theory which states that, during measurement of an entangled quantum state, it is not possible for one observer, by making a measurement of a subsystem of the total state, to communicate information to another observer.