Reference : Unifying Quantum and Classical Speed Limits on Observables
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
http://hdl.handle.net/10993/50444
Unifying Quantum and Classical Speed Limits on Observables
English
García-Pintos, Luis Pedro [Joint Center for Quantum Information and Computer Science and Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA]
Nicholson, Schuyler B. [Department of Chemistry, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, USA]
Green, Jason R. [Department of Chemistry, University of Massachusetts Boston, Boston, Massachusetts 02125, USA > > > ; Center for Quantum and Nonequilibrium Systems, University of Massachusetts Boston, Boston, Massachusetts 02125, USA > > > ; Department of Physics, University of Massachusetts Boston, Boston, Massachusetts 02125, USA]
Del Campo Echevarria, Adolfo mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) >]
Gorshkov, Alexey V. [Joint Center for Quantum Information and Computer Science and Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA]
28-Feb-2022
Physical Review X
Yes
International
[en] The presence of noise or the interaction with an environment can radically change the dynamics of observables of an otherwise isolated quantum system. We derive a bound on the speed with which observables of open quantum systems evolve. This speed limit is divided into Mandelstam and Tamm’s original time-energy uncertainty relation and a time-information uncertainty relation recently derived for classical systems, and both are generalized to open quantum systems. By isolating the coherent and incoherent contributions to the system dynamics, we derive both lower and upper bounds on the speed of evolution.We prove that the latter provide tighter limits on the speed of observables than previously known quantum speed limits and that a preferred basis of speed operators serves to completely characterize the observables that saturate the speed limits. We use this construction to bound the effect of incoherent dynamics on the evolution of an observable and to find the Hamiltonian that gives the maximum coherent speedup to the evolution of an observable.
http://hdl.handle.net/10993/50444
10.1103/PhysRevX.12.011038

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