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SUMMARY:Nash Equilibrium from Quantum-Field Entanglement
DTSTART;VALUE=DATE-TIME:20261108T070000Z
DTEND;VALUE=DATE-TIME:20261108T073000Z
DTSTAMP;VALUE=DATE-TIME:20261023T141833Z
UID:indico-contribution-2946@indico.itp.ac.cn
DESCRIPTION:Speakers: Hao Xu (Yangzhou University)\nEntanglement harvestin
 g transfers quantum field correlations to localized probes\, yet whether t
 hese correlations can alter stable strategic behavior has remained unclear
 . We formulate a quantum-input game in which two Unruh–DeWitt detectors 
 harvest vacuum entanglement from a free massless scalar field in $(3+1)$-d
 imensional Minkowski spacetime. A referee converts this state into payoffs
  using independent question qubits and phase-calibrated local Bell measure
 ments. To leading perturbative order\, the mean reward is proportional to 
 the signed entanglement margin $\\sqrt{\\mathcal H^2+\\mathcal Q^2}-\\math
 cal P$\, where $\\mathcal H$ is the Hadamard correlation contribution\, $\
 \mathcal Q$ is the Pauli--Jordan causal contribution\, and $\\mathcal P$ i
 s the local excitation noise. Away from payoff degeneracies\, allowing eac
 h player to exit or to choose an early or late interaction yields $1+2n_+$
  trembling-hand perfect equilibria\, where $n_+$ counts the positive-rewar
 d timing equilibria. For one fixed protocol\, five analytically certified 
 settings realize the sequence $7\\to3\\to1\\to7\\to1$. They represent the 
 spacelike region\, the first commutator lobe\, central carrier cancellatio
 n\, the second lobe\, and the post-wavefront Huygens regime. Thus\, within
  this fixed quantum-input verification protocol\, distinct field-correlati
 on regimes generate different stable strategic structures.\n\nhttps://indi
 co.itp.ac.cn/event/417/contributions/2946/
LOCATION:
URL:https://indico.itp.ac.cn/event/417/contributions/2946/
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