A Stronger Quantum Time Bound: Refining the Margolus–Levitin Limit at Planck Scale

Friedwardt Winterberg

Bartosz Zieliński, Magdalena Zych

The Margolus-Levitin lower bound on the minimal time required for a state to be transformed into an orthogonal state is generalized. It is shown that for some initial states the new bound is stronger than the Margolus-Levitin one.

William B. Wilson

Qiao-jun Cao, Yi-Xin Chen, Jianlong Li

The Margolus-Levitin Theorem is a limitation on the minimal evolving time of a quantum system from its initial state to its orthogonal state. It also supplies a bound on the maximal operations or events can occur within a volume of spacetime. We compare Margolus-Levitin Theorem with other form of limitation on minimal evolving time, and present covariant versions of Margolus-Levitin Theorem in special and general relativity respectively. The relation among entropy bound, maximum information flow and computational limit are discussed, by applying the covariant versions of Margolus-Levitin Theorem.

Manaka Okuyama, Takahashi Ryo, Masayuki Ohzeki

Deffner and Lutz [J. Phys. A 46, 335302 (2013) and Phys. Rev. Lett. 111, 010402 (2013).] extended the Mandelstam-Tamm bound and the Margolus-Levitin bound to time-dependent and non-Markovian systems, respectively. Although the derivation of the Mandelstam-Tamm bound is correct, we point out that thier analysis of the Margolus-Levitin bound is incorrect. The Margolus-Levitin bound has not yet been established in time-dependent quantum systems, except for the adiabatic case.

Pulak Ranjan Giri