In quantum field theory and statistical field theory, Elitzur's theorem states that in gauge theories, the only operators that can have non-vanishing...

(physics) Cluster decomposition theorem (quantum field theory) Coleman–Mandula theorem (quantum field theory) Elitzur's theorem (quantum field theory, statistical...

symmetry breaking of a gauge symmetry is technically incorrect since by Elitzur's theorem gauge symmetries never can be spontaneously broken. Rather, the...

(together with Duncan Haldane). Elitzur's theorem Halperin, Bertrand I. (2019). "On the Hohenberg–Mermin–Wagner Theorem and Its Limitations". Journal of...

physics. The term "spontaneous symmetry breaking" is a misnomer here as Elitzur's theorem states that local gauge symmetries can never be spontaneously broken...

The Ehrenfest theorem, named after Austrian theoretical physicist Paul Ehrenfest, relates the time derivative of the expectation values of the position...

makes the loop gauge dependent for z ≠ 1 {\displaystyle z\neq 1} , by Elitzur's theorem non-zero expectation values of ⟨ Φ ⟩ {\displaystyle \langle \Phi \rangle...

In physics, the no-cloning theorem states that it is impossible to create an independent and identical copy of an arbitrary unknown quantum state, a statement...

structure and is a phenomenon independent of the matter content. Elitzur's theorem ensures that local non-gauge invariant operators cannot have a non-zero...

In quantum mechanics, the Hellmann–Feynman theorem relates the derivative of the total energy with respect to a parameter to the expectation value of...

The Elitzur–Vaidman bomb-tester is a quantum mechanics thought experiment that uses interaction-free measurements to verify that a bomb is functional...

In mathematical physics, Gleason's theorem shows that the rule one uses to calculate probabilities in quantum physics, the Born rule, can be derived from...

incomplete description of reality. John Stewart Bell in 1964, in his eponymous theorem proved that correlations between particles under any local hidden variable...

local hidden-variable theory. This second result became known as the Bell theorem. To understand the first result, consider the following toy hidden-variable...

In quantum mechanics, superdeterminism is a loophole in Bell's theorem. By postulating that all systems being measured are correlated with the choices...

and electrons. The test empirically evaluates the implications of Bell's theorem. As of 2015[update], all Bell tests have found that the hypothesis of local...

unitary transformation applied to the Hamiltonian and state vectors. Haag's theorem says that the interaction picture doesn't exist in the case of interacting...

Quantum simulation Qubit physical vs. logical Quantum processors cloud-based Theorems Bell's Eastin–Knill Gleason's Gottesman–Knill Holevo's No-broadcasting...

Hardy's Theorem while the version by Bonami–Demange–Jaming covers the full strength of Hardy's Theorem. A different proof of Beurling's theorem based on...

scale invariance generates a conserved Weyl current according to Noether’s theorem. In scale-invariant cosmological models, this Weyl current naturally gives...

faster than the speed of light, a result known as the no-communication theorem.: 100  The Bell states are four specific maximally entangled quantum states...

by a range of detailed Bell test experiments. A collection of related theorems, beginning with Bell's proof in 1964, show that quantum mechanics is incompatible...

Greenberger, M. Horne, and A. Zeilinger, "Going beyond Bell's Theorem," in Bell's Theorem, Quantum Theory and Conceptions of the Universe, edited by M...

sending signals faster than light, as demonstrated by the no-communication theorem. Another possibility opened by entanglement is testing for "hidden variables"...

17 August 2020. Bong, Kok-Wei; et al. (17 August 2020). "A strong no-go theorem on the Wigner's friend paradox". Nature Physics. 27 (12): 1199–1205. arXiv:1907...

the spectrum of A {\displaystyle A} is not wholly discrete, the spectral theorem proves the existence of a certain projection-valued measure (PVM) Q {\displaystyle...

self-adjoint, and has trace one. Conversely, it follows from the spectral theorem that every operator with these properties can be written as ∑ j p j | ψ...

Clauser–Horne–Shimony–Holt (CHSH) inequality can be used in the proof of Bell's theorem, which states that certain consequences of entanglement in quantum mechanics...

quantum entangled particle pairs, as the principles of the no-cloning theorem and wave function collapse ensure the secure exchange of the random keys...

Ground state Introduction to quantum mechanics No-cloning theorem Orthonormal basis PBR theorem Quantum harmonic oscillator Quantum logic gate Stationary...