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We present a framework for relativistic quantum metrology that is useful forboth Earth-based and space-based technologies. Quantum metrology has been sofar successfully applied to design precision instruments such as clocks andsensors which outperform classical devices by exploiting quantum properties.There are advanced plans to implement these and other quantum technologies inspace, for instance Space-QUEST and Space Optical Clock projects intend toimplement quantum communications and quantum clocks at regimes where relativitystarts to kick in. However, typical setups do not take into account the effectsof relativity on quantum properties. To include and exploit these effects, weintroduce techniques for the application of metrology to quantum field theory.Quantum field theory properly incorporates quantum theory and relativity, inparticular, at regimes where space-based experiments take place. This frameworkallows for high precision estimation of parameters that appear in quantum fieldtheory including proper times and accelerations. Indeed, the techniques can beapplied to develop a novel generation of relativistic quantum technologies forgravimeters, clocks and sensors. As an example, we present a high precisiondevice which in principle improves the state-of-the-art in quantumaccelerometers by exploiting relativistic effects.

Relativistic Quantum Metrology: Exploiting relativity to improve quantum measurement technologies