Tight upper bound of the maximum speed of evolution of a quantum state

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.062133· OSTI ID:21413189

Chau, H F ^[1]

---

1. Department of Physics and Center of Computational and Theoretical Physics, University of Hong Kong, Pokfulam Road (Hong Kong)

I report a tight upper bound of the maximum speed of evolution from one quantum state {rho} to another {rho}{sup '} with fidelity F({rho},{rho}{sup '}) less than or equal to an arbitrary but fixed value under the action of a time-independent Hamiltonian. Since the bound is directly proportional to the average absolute deviation from the median of the energy of the state DE, one may interpret DE as a meaningful measure of the maximum information-processing capability of a system.

• OSTI ID: 21413189
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.062133; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EVOLUTION
HAMILTONIANS
INFORMATION
VELOCITY
MATHEMATICAL OPERATORS
QUANTUM OPERATORS