Electron-positron Annihilation Study The Controllable Entangled Photons

The state of Quantum Entanglement is defined by that the state of multi-particles’system can be not written as a form of product of single-particle state. Its non-localproperty and the sudden-broken character of quantum correlation after measuring inquantum state exist a wide used prospect in quantum information science. Peoplehave obtained quantum entangled state of multi-photons in two polarizationorientation in experiment by non-linearity of optics, while the preparation ofmulti-atoms’ entangled state were realized in QED by used the resonance principle. Inaddition, there are relevant reports about making ion entangled state in quantum trap.Generally, attaining the form of quantum entanglement between particles is premisedin theory by the limitation of non-relativity theory and is basic by the interaction ofphoton and electron. But all the force phenomenons within the interaction of photonand atom belong to the force of electromagnetic interaction which one of the fourfundamental forces. However, as is well known that photon is the outcome of thesecond quantification of the Maxwell’s equation group, and electron spin and themagnetic moment of electron are also the results from an effect of relativity.Furthermore, the form of second quantification of the Dirac equation is a motionequation that describes the property of electrons. Photon and electron are the theorymodel of all the microcosmic quantum phenomenon. Therefore, it is significant to gointo doing more research in quantum entanglement and cuantum correlation.Under this circumstance of non-relativity, photon gives out from the transitionbetween two energy levels at the inner of an atom. According to the rule of Boltzmannstatistics, the distribution of particles is always at the lowest state of the energy leveland only a few can stimulate to higher states. So from this mean people are not able togain an entangled state among high-energy photons. In this paper, beginning with thetheory of quantum field and combining the superposition principle of quantum stateand the entangled forms of spin-1/2particles, we will discuss the photons’ entangledstate which is generated from the annihilation of positron-electron pair, and here thepositron-electron pair is in Bell-like state of its initial state. The content of paper willbe divided into five sections, the specific arrange are as follow:The first chapter is the background of this research; it takes a brief introductionabout the general situation of the development of quantum theory and the nature ofquantum entanglement with its potential use in future quantum information andquantum communication. Meanwhile it is going to introduce some existing problemsin quantum communication. The second chapter is the theory of electromagneticinvariance property. It mainly refers to the invariance of the norm conversion and theinvariance of Lorentz conversion under the theory of relativity. It emphatically takesan account about the importance in controlling the initial state of positron-electronpair possibly by using AB effect. The third chapter is the elementary principle ofquantum theory. The content of this part will emphasis to introduce the premisecondition for all kinds of conservation under the electromagnetic interaction. Such askinds of judging about the conservation of energy and momentum and circularmomentum, the conservation of parity, and the conservation of electric charge.Chapter four is the annihilation of entangled positron-electron pair. This is the main content in the paper. Here I stress to represent specific form of the photons’ final statewhich is generated from the annihilation of the particles pair within three-Bornapproximation. Finally, we give the conclusion and the expectation. High energyphotons have a low disturbance and have a high penetrating. The correlation of highenergy photons can be use in three-dimensional imaging of objects and has a certainpotential value. At the same time it frames a bridge between non-locality of quantumentanglement and local realism of Einstein’s special theory of relativity. In order todistinguish the entanglement transfer between atoms and cavity field, taking a deeperresearch in entanglement transform and entanglement conversation in the future willbe very important and realistic in physics.