Energy and speed bound in GPTs - VIRTUAL


Giannelli, L. (2024). Energy and speed bound in GPTs - VIRTUAL. Perimeter Institute. https://pirsa.org/24040116


Giannelli, Lorenzo. Energy and speed bound in GPTs - VIRTUAL. Perimeter Institute, Apr. 25, 2024, https://pirsa.org/24040116


          @misc{ pirsa_PIRSA:24040116,
            doi = {10.48660/24040116},
            url = {https://pirsa.org/24040116},
            author = {Giannelli, Lorenzo},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Energy and speed bound in GPTs - VIRTUAL},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {apr},
            note = {PIRSA:24040116 see, \url{https://pirsa.org}}

Lorenzo Giannelli University of Hong Kong (HKU)


Information-theoretic insights have proven fruitful in many areas of quantum physics. But can the fundamental dynamics of quantum systems be derived from purely information-theoretic principles, without resorting to Hilbert space structures such as unitary evolution and self-adjoint observables? Here we provide a model where the dynamics originates from a condition of informational non-equilibrium, the deviation of the system’s state from a reference state associated to a field of identically prepared systems. Combining this idea with three basic information-theoretic principles, we derive a notion of energy that captures the main features of energy in quantum theory: it is observable, bounded from below, invariant under time-evolution, in one-to-one correspondence with the generator of the dynamics, and quantitatively related to the speed of state changes. Our results provide an information-theoretic reconstruction of the Mandelstam-Tamm bound on the speed of quantum evolutions, establishing a bridge between dynamical and information-theoretic notions.


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