Relativistic quantum information theory pdf

One such attempt is bohms theory of nonrelativistic. Pdf quantum probability and quantum information theory. Quantum mechanics, which describes the behaviour of matter and energy on very small scales, is one of the most successful theories in the history of science. As transformation theory is to the kinematics, so scattering theory is to the dynamics of much of advanced quantum theory, for both nonrelativistic and relativistic particles. The field of rqi aims to understand the relationship between special and general relativity, and quantum information.

Regarding quantum information theory, two theoretical quantum communication schemes including quantum dense coding and quantum teleportation schemes have. Pdf introduction to relativistic quantum information. Pdf an introduction to relativistic quantum fied theory. General relativity produces new, counterintuitive effects, in particular when black holes or more generally, event horizons are involved. The role of quantum information in thermodynamics iopscience. I discuss the role that relativistic considerations play in quantum information processing. Our field of relativistic quantum information rqi is concerned with the next logical. Quantum field theory, which is necessary for a consistent description of interactions, implies a fundamental tradeoff between detector reliability and localizability. This profound insight implies that two previously disconnected subjects quantum gravity and quantum information theory are in fact different aspects of the same physics. It then became interesting to revise information theory in the. Relativistic quantum information perimeter institute.

We begin with a brief summary of special relativity, concentrating on 4vectors and spinors. We provide information about the development of the field of relativistic quantum information and relativistic quantum metrology. Last century we also learned that there is a more fundamental theory of nature. Relativistic quantum tasks cambridge repository university of. One such attempt is bohms theory of nonrelativistic quantum. International society for relativistic quantum information. While quantum information theory was originally discussed mostly in terms of non relativistic quantum mechanics, recent years have seen increasing research interest in placing quantum information within the more fundamental framework of quantum field theory. We outline the general theory of how the entanglement of polarized photons changes under relativistic lorentz transformations, and have studied quantum information transmission in the presence of. Then the lorentz transformations of quantum states are introduced. The behaviour of spacetime and matter within a real black hole is discussed by the use of the theory of general relativity and relativistic particle physics, together with the fundamental. Relativistic quantum information theory and quantum. Efficient code for relativistic quantum summoning caltech authors. Pdf detection of gravitational waves an application of.

The relative entropy will be uvfinite if the two theories. Over the past few years, a new field of high research intensity has emerged, known as relativistic quantum information rqi. Lecture series on relativistic quantum information institute of. Out of this analysis will emerge the klein gordon and dirac equations, and the concept of quantum mechanical spin. This is used to describe relativistic effects in communication and entanglement. However, the work of john bell in the 60s and of alain aspect. Cambridge u nive rsit y pre ss 9780521767262 relativistic quantum physics. Even the einstein equation the fundamental law of classical gravitation can be understood directly from the physics of quantum entanglement.

Relativistic quantum information theory and quantum reference frames. The aim of this chapter is to introduce and explore some of the simplest aspects of relativistic quantum mechanics. There is a rigorous version of relativistic quantum field theory, in which we can. First i describe how the causality requirements limit possible multipartite measurements. Entanglement can also be extracted from the vacuum of relativistic quantum field theories, and used to distinguish peculiar motion from cosmological expansion.