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Phys. Rev. A 69, 062319 (2004) [5 pages]

Quantum entangling power of adiabatically connected Hamiltonians

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Alioscia Hamma1,3,4 and Paolo Zanardi1,2
1Institute for Scientific Interchange (ISI), Villa Gualino, Viale Settimio Severo 65, I-10133 Torino, Italy
2Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
3Dipartimento di Scienze Fisiche, Università Federico II , Via Cintia ed. G, 80126 Napoli, Italy
4Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Via Cintia ed. G, 80126 Napoli, Italy

Received 25 August 2003; published 23 June 2004

The space of quantum Hamiltonians has a natural partition in classes of operators that can be adiabatically deformed into each other. We consider parametric families of Hamiltonians acting on a bipartite quantum state space. When the different Hamiltonians in the family fall in the same adiabatic class, one can manipulate entanglement by moving through energy eigenstates corresponding to different values of the control parameters. We introduce an associated notion of adiabatic entangling power. This novel measure is analyzed for general d×d quantum systems, and specific two-qubit examples are studied

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.062319
DOI:
10.1103/PhysRevA.69.062319
PACS:
03.67.−a, 03.65.−w