Efficient use of quantum resources for the transmission of a reference frame

Physical Review Letters

Volumn 93, Issue 18, 2004, Pages

  Chiribella, G ^a   D'Ariano, G M ^a,b   Perinotti, P ^a   Sacchi, M F ^a  

^a INFM   (Italy)

^b Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DATA REDUCTION; ERROR ANALYSIS; ESTIMATION; GYROSCOPES; NETWORK PROTOCOLS; OPTICAL COMMUNICATION; OPTIMIZATION; PROBABILITY DENSITY FUNCTION;

ANGULAR MOMENTUM; HILBERT SPACES; QUANTUM RESOURCES; TRANSMISSION ERRORS;

QUANTUM THEORY;

EID: 19744382156     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.180503     Document Type: Article

References (18)

1. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North Holland, Amsterdam, 1982).
2. G. M. D'Ariano, C. Macchiavello, and M. F. Sacchi, Phys. Lett. A 248, 103 (1998).
3. G. M. D'Ariano and P. Lo Presti, Phys. Rev. Lett. 86, 4195 (2001).
4. G. M. D'Ariano, P. Lo Presti, and M. G. A. Paris, Phys. Rev. Lett. 87, 270404 (2001).
5. A. Acin, E. Jane, and G. Vidal, Phys. Rev. A 64, 050302 (2001).
6. A. Peres and P.F. Scudo, Phys. Rev. Lett. 87, 167901 (2001).
7. E. Bagan, M. Baig, and R. Muñoz-Tapia, Phys. Rev. Lett. 87, 257903 (2001).
8. A. Peres and P. F. Scudo, J. Mod Opt 49, 1235 (2002).
9. E. Bagan, M. Baig, and R. Muñoz-Tapia, quant-ph/0303019 [Phys. Rev. A. (to be published)].
10. E. Bagan, M. Baig, and R. Muñoz-Tapia, quant-ph/0303019 [Phys. Rev. A. (to be published)].
11. J.I. Cirac, A.K. Ekert, and C. Macchiavello, Phys. Rev. Lett. 82, 4344 (1999).
12. G. Chiribella, G.M. D'Ariano, P. Perinotti, and M. F. Sacchi, quant-ph/0403083 [Phys. Rev. A (to be published)].
13. G. Chiribella, G.M. D'Ariano, P. Perinotti, and M. F. Sacchi, quant-ph/0403083 [Phys. Rev. A (to be published)].
14. We compare N with N + 2 terms, such that the considered matrices have the same value of the border term ζ.
15. More precisely, the protocol in Ref. [9] requires that the sender and receiver have a finite resource of entanglement wherein the eigenvectors of their reduced density operators encode the orientations of their respective Cartesian frames (this can be established, for instance, if the sender and receiver set up the entanglement when their Cartesian frames are still aligned and lock the orientation of their particles to that of their lab as the relative orientation of their labs becomes unknown). Such a resource can only act as an imperfect shared reference frame. It does not provide an isomorphism between the Hubert spaces of the sender and receiver, and does not allow any single-shot measurement of spin to be perfectly predictable.
16. Notice that the property of iso-orthogonality becomes in the decomposition (17) the customary orthogonality in the representation space Hj.
17. J. Von Korff and J. Kempe, quant-ph/0405086.
18. S. D. Bartlett, T. Rudolph, and R. W. Spekkens, quant-ph/0403161.