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Quantum Simulation
On the distribution of the mean energy in the unitary orbit of quantum states
arXiv
Authors: Raffaele Salvia, Vittorio Giovannetti
Year
2020
Paper ID
561
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
N/A
Abstract
Given a closed quantum system, the states that can be reached with a cyclic process are those with the same spectrum as the initial state. Here we prove that, under a very general assumption on the Hamiltonian, the distribution of the mean extractable work is very close to a gaussian with respect to the Haar measure. We derive bounds for both the moments of the distribution of the mean energy of the state and for its characteristic function, showing that the discrepancy with the normal distribution is increasingly suppressed for large dimensions of the system Hilbert space.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- Given a closed quantum system, the states that can be reached with a cyclic process are those with the same spectrum as the initial state.
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