Research PapersNo Access

STOCHASTIC ANTI-RESONANCE IN THE TIME EVOLUTION OF INTERACTING QUBITS

DEMETRIS P. K. GHIKAS

Department of Physics, University of Patras, Patras 26500, Greece

Corresponding author.

Search for more papers by this author

and

ATHANASIOS C. TZEMOS

Department of Physics, University of Patras, Patras 26500, Greece

Search for more papers by this author

https://doi.org/10.1142/S0219749912500232Cited by:9 (Source: Crossref)

Abstract

We investigate the possibility of appearance of new phenomena derived from the influence of noise on quantum systems. As a starting point we study the entanglement evolution of two coupled qubits in interaction with an external environment and in the presence of an external magnetic field with a stochastic component. The results show the expected degradation of entanglement due to the noise. The new effect is that for particular initial states the time of disentanglement depends in a non-monotonous way on the strength of the noise. We find that it is shortest for an intermediate strength value of the noise. This we call "stochastic anti-resonance." Our new result indicates that there are noise values which are particularly harmful and should be avoided. This could lead to a better understanding of noisy perturbations and their role for optimal designing of quantum devices.

Keywords:

References

G. Benenti , G. Casati and G. Strini , Principles of Quantum Computation and Information — Volume II: Basic Tools and Special Topics ( World Scientific , Singapore , 2007 ) . Link, Google Scholar
M. A. Nielsen and I. L. Chuang , Quantum Computation and Quantum Information ( Cambridge University Press , Cambridge , 2000 ) . Google Scholar
J. Preskill, Lecture Notes on Quantum Information and Quantum Computation (Calltech, 1998) . Google Scholar
M. Schlosshauer , Decoherence and the Quantum-to-Classical Transition ( Springer , Berlin , 2007 ) . Google Scholar
K. Hornberger, Entanglement and Decoherence. Foundations and Modern Trends, Lecture Notes in Physics 768 (Springer, Berlin, 2009) pp. 221–276. Crossref, Google Scholar
L. Viola, E. Knill and S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999). Crossref, Web of Science, Google Scholar
E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997). Crossref, Web of Science, Google Scholar
D. A. Lidar and K. B. Whaley, Irreversible Quantum Dynamics, Lecture Notes in Physics 622 (Springer, Berlin, 2003) pp. 83–120. Crossref, Google Scholar
F. Chapeau-Blondeau, Noise, Oscillators and Algebraic Randomness — From Noise in Communication Systems to Number Theory, Lecture Notes in Physics 550 (Springer, Berlin, 2000) pp. 137–155. Crossref, Google Scholar
L. Grammaitoniet al., Rev. Mod. Phys. 70, 223 (1998). Crossref, Web of Science, Google Scholar
J. Wanget al., J. Phys. B 39, 4343 (2006). Crossref, Web of Science, Google Scholar
L. Zhou, X. X. Yi, H. S. Song and Y. Q. Quo , arXiv:quant-ph/0310169 . Google Scholar
G. Rigolin , arXiv:quant-ph/0311185 . Google Scholar
G. L. Kamta and A. F. Starace, Phys. Rev. Lett. 88, 107901 (2002). Crossref, Web of Science, Google Scholar
C. J. Shanet al., Chin. Phys. Lett. 25, 3115 (2008). Web of Science, Google Scholar
Y. Yeoet al., J. Phys. A: Math. Gen. 38, 3235 (2005). Crossref, Google Scholar
Q. Menget al., Chin. Phys. B 17, 2800 (2008). Crossref, Web of Science, Google Scholar
C. Altafini and F. Ticcozzi , arXiv: quant-ph/0510222 . Google Scholar
S. Manciniet al., Europhys. Lett. 60, 498 (2002). Crossref, Google Scholar
K. Wodkiewicz, Opt. Express 8, 145 (2001). Crossref, Web of Science, Google Scholar
M. M. Wilde, J. Phys. A: Math. Gen. 42, 325301 (2009). Crossref, Google Scholar
A. Rivas, N. P. Oxtoby and S. F. Huelga, Eur. Phys. J. B 68, 51 (2009). Google Scholar
T. Yu and J. H. Eberly, Phys. Rev. B 68, 165322 (2005). Crossref, Web of Science, Google Scholar
T. Yu and J. H. Eberly, Phys. Rev. Lett. 93, 140404 (2004). Crossref, Web of Science, Google Scholar
T. Yu and J. H. Eberly, Opt. Commun. 264, 393 (2006). Crossref, Web of Science, Google Scholar
T. Yu and J. H. Eberly , arXiv:quant-ph/0503089 . Google Scholar
T. Yu and J. H. Eberly , arXiv:quant-ph/0703083 . Google Scholar
T. Yu and J. H. Eberly quant-ph , arXiv:0910.1396 . Google Scholar
J. Luczka, Czech. J. Phys. 41, 289 (1991). Crossref, Google Scholar
L. Vandersypen and I. Chuang, Rev. Mod. Phys. 76, 1037 (2005). Crossref, Web of Science, Google Scholar
M. Horodecki, P. Horodecki and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998). Crossref, Web of Science, Google Scholar
F. Mintert, A. Carvalho and M. Kus , arXiv:quant-ph/0505162 . Google Scholar
S. Hill and W. K. Wooters, Phys. Rev. Lett. 78, 5022 (1997). Crossref, Web of Science, Google Scholar
W. K. Wooters, Phys. Rev. Lett. 80, 2245 (1998). Crossref, Web of Science, Google Scholar
M. F. Santoset al., Phys. Rev. A 73, 040305(R) (2006). Crossref, Web of Science, Google Scholar
Z. Ficek and R. Tanas, Phys. Rev. A 68, 024304 (2006). Google Scholar
F. Lastraet al., Phys. Rev. A 75, 062324 (2007). Crossref, Web of Science, Google Scholar
M. O. Terra Cunha, New J. Phys. 9, 237 (2007). Crossref, Web of Science, Google Scholar
R. C. Drumond and M. O. Terra Cunha quant-ph , arXiv:0811.3344 . Google Scholar
R. C. Drumond and M. O. Terra Cunha quant-ph , arXiv:0809.4445 . Google Scholar