Research PapersNo Access

OPTIMIZED QUBIT PHASE ESTIMATION IN NOISY QUANTUM CHANNELS

ENRICO TESIO

Dipartimento di Fisica dell'Università degli, Studi di Milano, I-20133 Milano, Italia

Search for more papers by this author

STEFANO OLIVARES

CNISM, UdR Milano Università I-20133 Milano, Italia

Dipartimento di Fisica dell'Università degli Studi di Milano, I-20133 Milano, Italia

Search for more papers by this author

, and

MATTEO G. A. PARIS

Dipartimento di Fisica dell'Università degli Studi di, Milano, I-20133 Milano, Italia

CNISM, UdR Milano Università I-20133 Milano, Italia

Search for more papers by this author

https://doi.org/10.1142/S0219749911007356Cited by:9 (Source: Crossref)

Abstract

We address the estimation of phase-shifts for qubit systems in the presence of noise. Different sources of noise are considered including bit flip, bit-phase flip and phase flip. We derive the ultimate quantum limits to precision of estimation by evaluating the analytical expressions of the quantum Fisher information and assess performances of feasible measurements by evaluating the Fisher information for realistic spin-like measurements. We also propose an experimental scheme to test our results.

Keywords:

References

M. A. Nielsen and I. L. Chuang , Quantum Computation and Quantum Information ( Cambridge University Press , 2000 ) . Google Scholar
H. P. Yuen and M. Lax, IEEE Trans. Inf. Theory 19, 740 (1973), DOI: 10.1109/TIT.1973.1055103. Crossref, Web of Science, Google Scholar
C. W. Helstrom and R. S. Kennedy, IEEE Trans. Inf. Theory 20, 16 (1974), DOI: 10.1109/TIT.1974.1055173. Crossref, Web of Science, Google Scholar
S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994), DOI: 10.1103/PhysRevLett.72.3439. Crossref, Web of Science, Google Scholar
S. Braunstein, C. Caves and G. Milburn, Ann. Phys. 247, 135 (1996). Crossref, Web of Science, Google Scholar
B. Teklu, S. Olivares and M. G. A. Paris, J. Phys. B: At. Mol. Opt. Phys. 42, 0335502 (2009), DOI: 10.1088/0953-4075/42/3/035502. Google Scholar
D. Brivioet al., Phys. Rev. A 81, 012305 (2010), DOI: 10.1103/PhysRevA.81.012305. Crossref, Web of Science, Google Scholar
M. G. A. Paris, Int. J. Quant. Inf. 7, 125 (2009), DOI: 10.1142/S0219749909004839. Link, Web of Science, Google Scholar
L. Pezzéet al., Phys. Rev. Lett. 99, 223602 (2007). Crossref, Web of Science, Google Scholar