Abstract
The behavior of quantum speed limit time (QSLT) for a single free spin-1/2 particle described by Gaussian wavepackets in the framework of relativity under dephasing noise is investigated. The dephasing noise acts only on the spin degrees of freedom of the spin-1/2 particle. In particular, the effects of initial time parameter, rapidity, average momentum and the size of the wavepackets in the presence of the dephasing noise on the dynamics of evolution process are studied. In general, the effects of relativity monotonically decrease the QSLT in time. In the range of large values of average momentum, critical values of both the rapidity and the size of the wavepackets exist at which the QSLT has its minimum value. In the range of small values of the average momentum, the QSLT monotonically decreases with both rapidity and the size of the wavepackets. The decrease of QSLT in a particular range of rapidity and with other relative parameters may be of great interest in employing fast quantum communication and quantum computation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Bouwmeester, A. Ekert, A. Zeilinger, The Physics of Quantum Information (Springer-Verlag, Berlin, 2000) and R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994).
A. Peres, D.R. Terno, Rev. Mod. Phys. 76, 93 (2004).
C. Soo, C.C.Y. Lin, Int. J. Quantum Inf. 02, 183 (2004).
P.M. Alsing, I. Fuentes-Schuller, R.B. Mann, T.E. Tessier, Phys. Rev. A 74, 032326 (2006).
I. Fuentes-Schuller, R.B. Mann, Phys. Rev. Lett. 95, 120404 (2005).
S. Khan, M.K. Khan, J. Phys. A: Math. Theor. 44, 045305 (2011).
D.E. Bruschi, J. Louko, E. Martin-Martinez, A. Dragan, I. Fuentes, Phys. Rev. A 82, 042332 (2010).
S. Khan, Ann. Phys. 348, 270 (2014).
S. Khan, M.A. Khan, M.K. Khan, Commun. Theor. Phys. 61, 281 (2014).
V. Giovannetti, S. Lloyd, L. Maccone, Nat. Photon. 5, 222 (2011).
J.D. Bekenstein, Phys. Rev. Lett. 46, 623 (1981).
S. Lloyd, Phys. Rev. Lett. 88, 237901 (2002).
T. Caneva, M. Murphy, T. Calarco, R. Fazio, S. Montangero, V. Giovannetti, G.E. Santoro, Phys. Rev. Lett. 103, 240501 (2009).
L. Mandelstam, I. Tamm, J. Phys. (USSR) 9, 249 (1945).
L. Vaidman, Am. J. Phys. 60, 182 (1992).
N. Margolus, L.B. Levitin, Phys. D 120, 188 (1998).
L.B. Levitin, T. Toffoli, Phys. Rev. Lett. 103, 160502 (2009).
V. Giovannetti, S. Lloyd, L. Maccone, Phys. Rev. A 67, 052109 (2003).
P. Jones, P. Kok, Phys. Rev. A 82, 022107 (2010).
S. Deffner, E. Lutz, J. Phys. A: Math. Theor. 46, 335302 (2013).
M.M. Taddei, B.M. Escher, L. Davidovich, R.L. de Matos Filho, Phys. Rev. Lett. 110, 050402 (2013).
A. del Campo, I.L. Egusquiza, M.B. Plenio, S.F. Huelga, Phys. Rev. Lett. 110, 050403 (2013).
S. Deffner, E. Lutz, Phys. Rev. Lett. 111, 010402 (2013).
Y.J. Zhang, W. Han, Y.J. Xia, J.P. Cao, H. Fan, Sci. Rep. 4, 4890 (2014).
C. Addis, G. Brebner, P. Haikka, S. Maniscalco, Phys. Rev. A 89, 024101 (2014).
F.F. Fanchini, G. Karpat, L.K. Castelano, D.Z. Rossatto, Phys. Rev. A 88, 012105 (2013).
D. Crow, R. Joynt, Phys. Rev. A 89, 042123 (2014).
N.N. Bogolubov, A.A. Logunov, I.T. Todorov, Introduction to Axiomatic Quantum Field Theory (W. A. Benjamin, Reading, MA, 1975).
A. Peres, P.F. Scudo, D.R. Terno, Phys. Rev. Lett. 88, 23 (2002).
F.R. Halpern, Special Relativity and Quantum Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1968).
S. Weinberg, The Quantum Theory of Fields, Vol. I (Cambridge University Press, Cambridge, 1996).
A.G.S. Landulfo, A.C. Torres, Phys. Rev. A 87, 042339 (2013).
B. Bylicka, D. Chruscinski, S. Maniscalco, Sci. Rep. 4, 5720 (2014).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khan, S., Khan, N.A. Relativistic quantum speed limit time in dephasing noise. Eur. Phys. J. Plus 130, 216 (2015). https://doi.org/10.1140/epjp/i2015-15216-0
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2015-15216-0