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APS » Journals » Phys. Rev. A » Volume 67 » Issue 5
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Phys. Rev. A 67, 052109 (2003) [8 pages]

Quantum limits to dynamical evolution

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Vittorio Giovannetti1, Seth Lloyd1,2, and Lorenzo Maccone1
1Research Laboratory of Electronics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139
2Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139

Received 12 February 2003; published 30 May 2003

We establish the minimum time it takes for an initial state of mean energy E and energy spread ΔE to move from its initial configuration by a predetermined amount. Distances in Hilbert space are estimated by the fidelity between the initial and final states. In this context, we study the role of entanglement among subsystems in speeding up the dynamics of a composite system.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.052109
DOI:
10.1103/PhysRevA.67.052109
PACS:
03.65.Ud, 03.67.-a
 
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