Geometric quantum speed limits: a case for Wigner phase space
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چکیده
The quantum speed limit is a fundamental upper bound on the speed of quantum evolution.However, the actualmathematical expression of this fundamental limit depends on the choice of ameasure of distinguishability of quantum states.We show that quantum speed limits are qualitatively governed by the Schatten-p-normof the generator of quantumdynamics. Since computing Schatten-p-norms can bemathematically involved, we then develop an alternative approach inWigner phase space.Wefind that the quantum speed limit inWigner space is fully equivalent to expressions in density operator space, but that the new bound is significantly easier to compute. Our results are illustrated for the parametric harmonic oscillator and for quantumBrownianmotion.
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