Complementary classical fidelities as an efficient criterion for the evaluation of experimentally realized quantum operations

Physical Review Letters

Volumn 94, Issue 16, 2005, Pages

  Hofmann, Holger F ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ENTANGLEMENT CAPABILITY; FIDELITY; QUANTUM COHERENCE; QUANTUM COMPUTATION;

COMPUTER NETWORKS; DATA PROCESSING; EIGENVALUES AND EIGENFUNCTIONS; GATEWAYS (COMPUTER NETWORKS); PROBABILITY DISTRIBUTIONS; TOMOGRAPHY;

QUANTUM THEORY;

EID: 18144388004     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.160504     Document Type: Article

References (23)

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14. A. Gilchrist, N. K. Langford, and M. A. Nielsen, quant-ph/0408063.
15. 0 = Î. The results in this paper thus also apply to fidelities in quantum communication (see [16-19]).
16. Note that a related result on quantum channel capacities was previously derived in H. Barnum, E. Knill, and M. A. Nielsen, IEEE Trans. Inf. Theory 46, 1317 (2000).
17. A generalized derivation of this upper bound for quantum channels can be found in B. Schumacher, quant-ph/9604023.
18. It may be interesting to compare Eqs. (15) and (17) to a related result on quantum channels reported in M. Christandl and A. Winter, quant-ph/0501090 after this Letter was submitted.
19. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. A 60, 1888 (1999).
20. The process fidelity is also often referred to as entanglement fidelity (see B. Schumacher, quant-ph/9604023). The terminology used here is that of recent experimental papers such as Refs. [7,13].
21. 0.
22. Here, orthogonality is defined by the product trace of two operators, that is,  and B̂ are orthogonal if Tr{†B̂} = 0.
23. See also H. F. Hofmann, quant-ph/0407165.