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Generation and sudden death of entanglement in qubit–qutrit systems with depolarising noise

Published online by Cambridge University Press:  10 April 2013

SALMAN KHAN
SALMAN KHAN*
Affiliation:
Department of Physics, Comsats Institute of Information Technology, Chak Shahzad, Islamabad, Pakistan Email: sksafi@phys.qau.edu.pk
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Abstract

In this paper we study the dynamics of entanglement in some hybrid qubit–qutrit systems under the influence of global, collective, local and multilocal depolarising noise. We show that depolarising noise can be used to induce entanglement. A critical point exists under every coupling of the system with the environment at which all the states are equally entangled. Furthermore, we show that no ESD occurs when either only the qubit is coupled to its local environment or the system is coupled to a multilocal or global environment. This is an important result for various quantum information processing tasks and thus merits further investigation.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 23 , Issue 6 , December 2013 , pp. 1220 - 1233
Copyright
Copyright © Cambridge University Press 2013 

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References

Ann, K. and Jaeger, G. (2007) Local-dephasing-induced entanglement sudden death in two-component finite-dimensional systems. Physical Review A 76 044101.CrossRefGoogle Scholar
Ann, K. and Jaeger, G. (2008) Entanglement sudden death in qubit qutrit systems. Physics Letters A 372 579–583.CrossRefGoogle Scholar
Benatti, F., Floreanini, R. and Piani, M. (2003) Environment Induced Entanglement in Markovian Dissipative Dynamics. Physical Review Letters 91 070402.CrossRefGoogle ScholarPubMed
Bennett, C. H., Brassard, G. and Mermin, N. D. (1992) Quantum cryptography without Bell's theorem. Physical Review Letters 68 557–559.CrossRefGoogle ScholarPubMed
Bennett, C. H.et al. (1993) Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Physical Review Letters 70 1895–1899.CrossRefGoogle ScholarPubMed
Bouwmeester, D., Ekert, A. and Zeilinger, A. (2000) The Physics of Quantum Information, Springer-Verlag.CrossRefGoogle Scholar
Braun, D. (2002) Creation of Entanglement by Interaction with a Common Heat Bath. Physical Review Letters 89 277901.CrossRefGoogle ScholarPubMed
Breuer, H. P. and Petruccione, F. (2002) The Theory of Open Quantum Systems (Oxford University Press Oxford);Google Scholar
Carmichael, H. (1993) An Open Systems Approach to Quantum Optics, Springer-Verlag.CrossRefGoogle Scholar
Cui, H. T., Li, K. and Yi, X. X. (2007) A study on the sudden death of entanglement. Physics Letters A 365 44–48.CrossRefGoogle Scholar
DiVincenzo, D. P. (1995) Quantum Computation. Science 270 255–261.CrossRefGoogle Scholar
Ekert, A. K. (1991) Quantum cryptography based on Bell's theorem. Physical Review Letters 67 661–663.CrossRefGoogle ScholarPubMed
Grover, L. K. (1997) Quantum Mechanics Helps in Searching for a Needle in a Haystack. Physical Review Letters 79 325–328.CrossRefGoogle Scholar
Huang, J. H. and Zhu, S. Y. (2007) Necessary and sufficient conditions for the entanglement sudden death under amplitude damping and phase damping. Physical Review A 76 062322.CrossRefGoogle Scholar
Horodecki, M., Horodecki, P. and Horodecki, R. (1996) Separability of mixed states: necessary and sufficient conditions. Physics Letters A 223 1–8.CrossRefGoogle Scholar
Horodecki, R., Horodecki, P., Horodecki, M. and Horodecki, K. (2009) Quantum entanglement. Reviews of Modern Physics 81 865–942.CrossRefGoogle Scholar
Ikram, M., Li, F. L. and Zubairy, M. S. (2007) Disentanglement in a two-qubit system subjected to dissipation environments. Physical Review A 75 062336.CrossRefGoogle Scholar
Jaeger, G. and Ann, K. (2007) Disentanglement and decoherence in a pair of qutrits under dephasing noise. Journal of Modern Optics 54 (16)2327–2338.CrossRefGoogle Scholar
Jakobczyk, L. and Jamroz, A. (2003) Entanglement and nonlocality versus spontaneous emission in two-atom systems. Physics Letters A 318 318–326.CrossRefGoogle Scholar
Jamroz, A. (2006) Local aspects of disentanglement induced by spontaneous emission. Journal of Physics A: Mathematical and General 39 7727.CrossRefGoogle Scholar
Nayak, N., Ghosh, B. and Majumadar, A. S. (2010) Environment induced entanglement in cavity-QED. Indian Journal of Physics 84 1039–1050.CrossRefGoogle Scholar
Peres, A. (1996) Separability Criterion for Density Matrices. Physical Review Letters 77 1413.CrossRefGoogle ScholarPubMed
Al-Qasimi, A. and James, D. F. V. (2008) Sudden death of entanglement at finite temperature. Physical Review A 77 012117.CrossRefGoogle Scholar
Salimi, S. and Soltanzadeh, M. M. (2009) Investigation of quantum roulette. International Journal of Quantum Information 7 615–626.CrossRefGoogle Scholar
Yonac, M, Yu, T. and Eberly, J. H. (2006) Sudden death of entanglement of two Jaynes–Cummings atoms. Journal of Physics B: Atomic, Molecular and Optical Physics 39 S621.CrossRefGoogle Scholar
Yu, T. and Eberly, J. H. (2002) Phonon decoherence of quantum entanglement: Robust and fragile states. Physical Review B 66 193306.CrossRefGoogle Scholar
Yu, T. and Eberly, J. H. (2003) Qubit disentanglement and decoherence via dephasing. Physical Review B 68 165322CrossRefGoogle Scholar
Yu, T. and Eberly, J. H. (2004) Finite-Time Disentanglement Via Spontaneous Emission. Physical Review Letters 93 140404.CrossRefGoogle ScholarPubMed
Yu, T. and Eberly, J. H. (2006) Sudden Death of Entanglement: Classical Noise Effects. Optics Communications 264 393–397.CrossRefGoogle Scholar
Yu, T. and Eberly, J. H. (2006) Quantum Open System Theory: Bipartite Aspects. Physical Review Letters 97 140403.CrossRefGoogle ScholarPubMed
Yu, T. and Eberly, J. H. (2007) Evolution from Entanglement to Decoherence of Bipartite Mixed ‘X’ States. Quantum Information and Computation 7 459–468.CrossRefGoogle Scholar
Zhang, G.-F. and Chen, Z.-Y. (2007) The entanglement character between atoms in the non-degenerate two photons Tavis-Cummings model. Optics Communications 275 274–277.CrossRefGoogle Scholar
Zurek, W. H. (1991) Decoherence and the Transition from Quantum to Classical. Physics Today 44 36–44.CrossRefGoogle Scholar
Zurek, W. H. (2003) Decoherence, Einselection, and the Quantum Origins of the Classical. Reviews of Modern Physics 75 715–775.CrossRefGoogle Scholar