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Questions tagged [locality]

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0 votes
1 answer
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How is information defined when considering locality in quantum mechanics?

$\newcommand{\ket}[1]{|#1\rangle}$ My question is a follow-up from this discussion about the presence of non-local correlations in a theory that is deemed local. The first answer talks about the ...
UVcatastrophe's user avatar
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0 answers
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Is there any restriction for locally mapping a given 2-qubit density matrix into a desired 2-qubit density matrix with lower entanglement?

Suppose we're given a 2-qubit density matrix($\rho_{4\times4}$). we can apply two local maps on each of these qubits seperatly. So the output is density matrix($\rho^{\prime}_{4\times4}$). I'm ...
xhian's user avatar
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1 vote
1 answer
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Definition of “quasi-locality” in Wilsonian RG scheme

I’m studying about the holographic RG with this paper. In that paper they say Wilsonian action expects quasi locality, but I’m not sure what “quasi-locality" exactly means. If quasi-locality ...
Positron3873's user avatar
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0 answers
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Can you model relativistic interactions without locality?

Assume $c=1$ I've been doing relativity by myself so I may be making some assumptions here that I would not have if my learning had been more extensive. One such assumption is that you can model the ...
NaiDoeShacks's user avatar
2 votes
1 answer
122 views

Is conservation of energy a local law in Quantum field theory? [closed]

From Wikipedia, "The local energy conservation in quantum field theory is ensured by the quantum Noether's theorem for the energy-momentum tensor operator. Thus energy is conserved by the normal ...
KleinMoretti's user avatar
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Lorentz invariance (LI) of time ordering operation

At Srednicki after eq. (4.10), we have a discussion about that the time ordering operation. Have to be frame inv. I.e it has to be LI. He wrote that for timelike separation we don't have to worry ...
Alon Buzaglo Shoub's user avatar
1 vote
2 answers
125 views

On the notion of Local Causality

In 1976, John Bell proved that any locally causal theory can't account for certain observed correlations, he formulated the local causality hypotesis in terms of "local beables". In ...
Davyz2's user avatar
  • 407
7 votes
4 answers
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Confusion around Bell's Theorem and Locality

I recently got interested in foundational aspects of quantum mechanics and I have some questions: Bell's theorem proves that any local, deterministic theory with statistical independence can't account ...
Davyz2's user avatar
  • 407
1 vote
1 answer
191 views

$SO(3,1)$ is locally $SU(2)\times SU(2)$, what does *locally* mean here?

I am learning Lie group and Lie algebra. I saw in a YouTube video "Supersymmetry lecture 02" from OpenCourseWare (OCW) at University of Cambridge at 11:17 that $SO(3,1)$ is locally $SU(2) \...
Fermion's user avatar
  • 53
0 votes
1 answer
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Equivalence of two entangling operators with respect to local operators

Suppose that $U_1$ and $U_2$ are two (entangling) operators that act on a quantum system consisting of several qubits. Is there any criterion to tell if these two are equivalent up to applying ...
george doultsinos's user avatar
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What do we mean by causality when we say that entanglement measurements are uncaused? [duplicate]

I’m having a hard time wrapping my head around how the measurement of particle A does not affect the state of an entangled particle B even if no superluminal speeds exist. Suppose Alice makes a ...
user avatar
2 votes
1 answer
87 views

How to interpret Poisson bracket of fields in terms of causality?

In quantum field theory, the fact that space-like separated observables commute, i.e. $[\hat {\phi (x)}, \hat{\phi(y)}]=0$, is taken as the test for causality. The equivalent statement for classical ...
Rain Deer's user avatar
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0 votes
1 answer
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Newton's second law - local laws and non-local laws

What are local laws? I was reading this line in a book... Newtons second law is a local law. This means that it applies to a particle at a particular instant without taking into consideration any ...
Aditi Bansal's user avatar
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0 answers
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How does locality on space time manifold M put constraints on functions on configuration space of fields?

I am reading David Skinner's notes on AQFT. In Chapter 1 page 3, he mentioned that "purely from the point of view of functions on $C$, locality on $M$ is actually a very strong restriction", ...
Kuro_'s user avatar
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0 votes
1 answer
297 views

Is Quantum randomness true randomness? [closed]

I would like you guys to read it, and see whether it makes sense, and correct me if anything is wrong. I'm not an expert on these topics, so I understand if very wrong. It would be wonderful if you ...
Nathan's user avatar
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