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Quantum nonlocality does not allow for faster-than-light communication, [6] and hence is compatible with special relativity and its universal speed limit of objects. Thus, quantum theory is local in the strict sense defined by special relativity and, as such, the term "quantum nonlocality" is sometimes considered a misnomer. [7]
Quantum mechanics, moreover, gives a recipe for computing a probability distribution Pr on the possible outcomes given the initial system state is ψ. The probability is Pr ( λ ) = E ( λ ) ψ ∣ ψ {\displaystyle \operatorname {Pr} (\lambda )=\langle \operatorname {E} (\lambda )\psi \mid \psi \rangle } where E ( λ ) is the ...
The concept of incompatibility of quantum measurements originated from Heisenberg's uncertainty principle, [2] which states that certain pairs of physical quantities, like position and momentum, cannot be simultaneously measured with arbitrary precision. [3]
The relation between nonlocality and preferred foliation can be better understood as follows. In de Broglie–Bohm theory, nonlocality manifests as the fact that the velocity and acceleration of one particle depends on the instantaneous positions of all other particles.
Bell's 1964 theorem requires the possibility of perfect anti-correlations: the ability to make a probability-1 prediction about the result from the second detector, knowing the result from the first. This is related to the "EPR criterion of reality", a concept introduced in the 1935 paper by Einstein, Podolsky, and Rosen.
This definition includes classical concepts like "well-defined", which conflicts with quantum superposition, and "prior to ... measurements", which implies (metaphysical) preexistence of properties. Specifically, the term local realism in the context of Bell's theorem cannot be viewed as a kind of "realism" involving locality other than the ...
Quantum nonlocality, nonlocal phenomena in quantum mechanics Nonlocal Lagrangian , a type of Lagrangian (a mathematical function) Nonlocal operator , which maps functions on a topological space to functions, in such a way that the value of the output function at a given point cannot be determined solely from the values of the input function in ...
This is usually characterized in terms of the detection efficiency , defined as the probability that a photodetector detects a photon that arrives at it. Anupam Garg and N. David Mermin showed that when using a maximally entangled state and the CHSH inequality an efficiency of η > 2 2 − 2 ≈ 0.83 {\displaystyle \eta >2{\sqrt {2}}-2\approx 0 ...