Bonn 2025 – scientific programme
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QI: Fachverband Quanteninformation
QI 35: Quantum Information: Concepts and Methods II
QI 35.3: Talk
Thursday, March 13, 2025, 15:00–15:15, HS IV
Entangled quantum trajectories in relativistc systems — •Yannick Noel Freitag1, Julien Pinske2, and Jan Sperling1 — 1Theoretical Quantum Science, Institute for Photonic Quantum Systems (PhoQS), Paderborn University, Warburger Straße 100, 33098 Paderborn, Germany — 2Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, 2100 Copenhagen, Denmark
Quantum entanglement is a key resource for quantum technologies, including emerging ground-to-satellite quantum communication. In such a scenario, an important challenge is to consider entanglement between two or more quantum particles in different inertial frames. In this talk, we present a consistent framework that overcomes this challenge. To this end, we establish the notion of factorizable and entangled multi-time trajectories and derive a class of Euler–Lagrange equations under the constraint of a non-entangling behavior. Comparing this restricted evolution to the solutions of the unrestricted equations of motion allows one to investigate the trajectory-based entanglement of general systems. We solve our equations for interacting particles in a Klein–Gordon-type setting, thereby quantifying the dynamic and relativistic impact of entanglement in a self-consistent manner.
Keywords: Quantum entanglement; Relativistic wave equations; Relativistic quantum information