Nicoletta Carabba: Quantum Speed Limits to Operator Growth, Gebunden
Quantum Speed Limits to Operator Growth
Buch
lieferbar innerhalb 2-3 Wochen
(soweit verfügbar beim Lieferanten)
(soweit verfügbar beim Lieferanten)
Aktueller Preis: EUR 186,19
- Verlag:
- Springer Nature Switzerland, 02/2025
- Einband:
- Gebunden
- Sprache:
- Englisch
- ISBN-13:
- 9783031741784
- Artikelnummer:
- 12179402
- Umfang:
- 156 Seiten
- Gewicht:
- 405 g
- Maße:
- 241 x 160 mm
- Stärke:
- 15 mm
- Erscheinungstermin:
- 1.2.2025
- Hinweis
-
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
This book introduces universal bounds to quantum unitary dynamics, with applications ranging from condensed matter models to quantum metrology and computation. Motivated by the observation that the dynamics of many-body systems can be better unraveled in the Heisenberg picture, we focus on the unitary evolution of quantum observables, a process known as operator growth and quantified by the Krylov complexity. By means of a generalized uncertainty relation, we constrain the complexity growth through a universal speed limit named the dispersion bound, investigating also its relation with quantum chaos. Furthermore, the book extends the framework of quantum speed limits (QSLs) to operator flows, identifying new fundamental timescales of physical processes. Crucially, the dynamics of operator complexity attains the QSL whenever the dispersion bound is saturated. Our results provide computable constraints on the linear response of many-body systems out of equilibrium and the quantum Fisher information governing the precision of quantum measurements.
Nicoletta Carabba
Quantum Speed Limits to Operator Growth
Aktueller Preis: EUR 186,19