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APS » Journals » Phys. Rev. Lett. » Volume 92 » Issue 6
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Phys. Rev. Lett. 92, 060402 (2004) [4 pages]

Quantum Tensor Product Structures are Observable Induced

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Paolo Zanardi1,2, Daniel A. Lidar3, and Seth Lloyd1
1Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
2Institute for Scientific Interchange (ISI) Foundation, Viale Settimio Severo 65, I-10133 Torino, Italy
3Chemical Physics Theory Group, Chemistry Department, University of Toronto, 80 St. George Street, Toronto, Ontario, Canada M5S 3H6

Received 7 August 2003; published 10 February 2004

It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multipartite tensor product structure of the state space and the associated notion of quantum entanglement are then relative and observable induced. We develop a general algebraic framework aimed to formalize this concept.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.060402
DOI:
10.1103/PhysRevLett.92.060402
PACS:
03.65.Ta, 03.65.Ud, 03.65.Yz, 03.67.Mn
 
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