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Maximally entangled gluons for any $x$
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abstract
Individual quarks and gluons at small-$x$ inside an unpolarized hadron can be regarded as Bell states in which qubits in the spin and orbital angular momentum spaces are maximally entangled. Using the machinery of quantum information science, we generalize this observation to all values $0<x<1$ and describe gluons (but not quarks) as maximally entangled states between a qubit and a qudit. We introduce the conditional probability distribution $P(l^z|s^z)$ of a gluon's orbital angular momentum $l^z$ given its helicity $s^z$. Restricting to the three states $l^z=0,\pm 1$, which constitute a qutrit, we explicitly compute $P$ as a function of $x$
Forward citations
Cited by 3 Pith papers
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Quantum entanglement within quarkonium
Quark-antiquark entanglement entropy in quarkonium is derived from light-front wave functions, reduces to the Shannon entropy of TMDs, and shows strong polarization dependence for spin-1 mesons.
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Deep inelastic scattering as a probe of entanglement: the complete QCD dipole cascade
The Shannon entropy of dipole multiplicities from the full Levin–Lublinsky equation in DIS reproduces the H1 hadron entropy, growing linearly with ln(1/x) and described by S = ln(2/3⟨n⟩) + 0.85.
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Soft-Radiation-Induced Decoherence of Heavy-Quark Spin Entanglement at the Electron-Ion Collider
Subleading soft-gluon recoil rotates the heavy-quark spin-correlation plane; tracing over unresolved radiation dephases in-plane coherences while protecting the normal-axis correlation.
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