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Phys. Rev. A 77, 032114 (2008) [12 pages]

Tradeoff between extractable mechanical work, accessible entanglement, and ability to act as a reference system, under arbitrary superselection rules

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J. A. Vaccaro1,2, F. Anselmi3,2, H. M. Wiseman1, and K. Jacobs1,4
1Centre for Quantum Dynamics, Griffith University, Brisbane, 4111 Australia
2Quantum Physics Group, University of Hertfordshire, Hatfield, AL10 9AB, United Kingdom
3Venetian Institute of Molecular Medicine, Via Giuseppe Orus, 2 35129 Padova, Italy
4Department of Physics, University of Massachusetts at Boston, 100 Morrissey Boulevard, Boston, Massachusetts 02125, USA

Received 7 November 2007; published 25 March 2008

Superselection rules (SSRs) limit the mechanical and quantum processing resources represented by quantum states. However, SSRs can be violated using reference systems to break the underlying symmetry. We show that there is a duality between the ability of a system to do mechanical work and to act as a reference system. Further, for a bipartite system in a globally symmetric pure state, we find a triality between the system’s ability to do local mechanical work, its ability to do “logical work” due to its accessible entanglement, and its ability to act as a shared reference system.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.032114
DOI:
10.1103/PhysRevA.77.032114
PACS:
03.65.Ud, 03.65.Fd, 03.67.Mn, 05.30.−d