Gaussian Quantum Correlation Of Continuous Variables In Noninertial Frame

The relativistic quantum information mainly discusses the influences of rela-tivistic effects,relativistic motion and space-time structure on the quantum tasks,such as storage,transfer and control of quantum states.It is also very important for the detection of relativistic effects.In this thesis,we investigate the bipartite and mul-tipartite Gaussian quantum steering and Gaussian quantum interferometric power in the inertial frame.The main conclusions are follows:We study Gaussian quantum steering and its asymmetry in the background of a Schwarzschild black hole.We present a Gaussian channel description of quantum state evolution under the influence of the Hawking radiation.We find that thermal noise introduced by Hawking effect will destroy the steerability between an inertial observer Alice and an accelerated observer Bob who hovers outside the event horizon,while it generates steerability between Bob and a hypothetical observer anti-Bob inside the event horizon.Unlike entanglement behaviors in curved spacetime,here the steering from Alice to Bob suffers from a“sudden death”and the steering from anti-Bob to Bob experiences a“sudden birth”with increasing Hawking temperature.We also find that the Gaussian steering is always asymmetric and the maximum steering asymmetry cannot exceed ln 2,which means the state never evolves to an extremal asymmetry state.Furthermore,we obtain the parameter settings that maximize steering asymmetry and find that(i)s=arccosh((cosh~2r)/(1-sinh~2r)) is the critical point of steering asymmetry,and(ii)the attainment of maximal steering asymmetry indicates the transition between one-way steerability and both-way steerability for the two-mode Gaussian state under the influence of Hawking radiation.We present a black box estimation paradigm of Unruh temperature in a rel-ativistic bosonic continuous-variable setting.It is shown that the guaranteed pre-cision for the estimation of Unruh temperature can be evaluated by the Gaussian interferometric power for a given probe state.We demonstrate that the amount of interferometric power is always beyond the entanglement type quantum correla-tions in a relativistic setting.It is found that due to the Unruh radiation acts as a thermal bath on the probe system,it destroys available resources of the probe sys-tem and reduces the guaranteed precision of the estimation of Unruh temperature.We also find that the thermal induced by Unruh effect will generate interferometric power between accelerated Bob and his auxiliary partner anti-Bob,while it does not generate any correlation between inertial Alice and anti-Bob.