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Title:
Emergent Spacetime from Quantum Entanglement
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Abstract:
Holographic Principle, which was discovered in string theory, tells us that gravitational dynamics of universe is equivalent to dynamics of quantum many-body systems (or quantum field theories). From the viewpoint of quantum information theory, this idea says that entanglement entropy, which measures the amount of quantum information, is equal to the area of minimal surface in the gravitational spacetime. From this, we find that quantum information theoretic properties such as strong subadditivity is equivalent to certain geometrical inequalities. This idea leads to an interesting speculation that the universe may consistent of infinitely m any quantum bits. One model which realizes this idea is so called tensor networks, which are networks of quantum entanglement. In other words, a gravitational spacetime has a mechanism in itself which process complicated quantum states in quantum many-body system via a very efficient quantum circuit. In this talk, I would like to give a pedagogical review of such close connections between quantum information theory and gravitational theory.
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