Quantum Nonlocality And Its Application In High Energy Physics

As quantum information science is developing,some problems in fundamental physics including high energy physics and cosmology have been re-investigated in a quantum information scenario.The quantum nonlocality,an important property of quantum information,in particle decays in high energy physics or systems with ac-celerating motion deserves a detailed study in this perspective.In this dissertation,we have studied Bell-type inequalities and entropic uncertainty relations and then applied them to the quantum correlation in final states of particle decays as well as accelerating systems in spacetime.For Bell-type inequalities,we give two methods to prove Imn22 Bell-CH in-equalities and their algebraic theorems:the rearrangement inequality method and theθ-function method.We also formulate a new class of Bell-CH inequalities via two methods.We find that the θ-function method is effective for proofs of all Imn22 al-gebraic theorems.For entropic uncertainty relations,we derive a new lower bound for the uncertainty relations with multiple quantum memories using Holevo quantities.The bound has a clear physical significance and reveals the maximal quantum information that can be achieved by quantun memories from measurements.We apply Bell-CH inequalities and entropic uncertainty relations to particle decays and systems with accelerating motion,respectively.For particle decay systems,we choose the decay ηc→∧(?)→(pπ-)((?)π+),and study the quantum correlation of final state p(?).We treat the decay as a measurement process and derive a Bell-CH inequality for such a process.Using the space-like separation condition,we give a violation range of the inequality that can be detected in experiments such as BESIII at Beijing Electron-Positron Collider.For correlated systems with accelerating motion in spacetime,we consider the quantum field in a cavity as well as that not limited by the cavity.We formulate accel-erating protocols of entropic uncertainty games with accelerating quantum memories.We discuss the effect of acceleration on the quantum correlation through the bound to the uncertainty relation and its variation with acceleration of memories.Our new bound for the tripartite entropic uncertainty relation has an advantage of showing how accel-eration affects the bound.Moreover,because the bound also reveals the monogamy of the quantum correlation.We can carry out further studies on relativistic effects of the monogamy.The quantum nonlocality has been used to study decay processes in high energy physics.The methods can be applied to more particle processes in the quantum informa-tion approach.Some fundamental problems such as the black hole information,firewall,entanglement in the parton picture of nucleons,and so on,can also be investigated in such an approach.