20Jun 2017

TRACE DISTANCE: A MEASURE OF QUANTUMNESS.

  • Department of Physics, CBSH, GBPUA&T, Pantnagar, India.
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We use trace distance as a measure of quantum character in qubits and have calculated the success probability. When a qubit is subjected to environmental noise particularly amplitude damping noise it is expected that its quantum character is diminishes. In this work we also have used weak measurement and quantum measurement reversal operations for the protection of qubits from decoherence. From this study we found that trace distance is actually a good measure of closeness of two states.

  1. A. Neilson and L Chuange, Quantum Computation and Quantum Information, Cambridge Univ. Press, UK, 2000.
  2. Zettili Nouredine Quantum Mechanics Concepts and Applications Second Edition Jacksonville State University, Jacksonville, USA A John Wiley and Sons, Ltd., Publication
  3. Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and W K Wootters Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels 1993 Phys. Rev. Lett. 70 1895.
  4. Peter W. Shor and John Preskill Simple Proof of Security of the BB84 Quantum Key Distribution Protocol Phys. Rev. Lett. 85, 441, 2000.
  5. Ekert A . K. Quantum cryptography based on Bell?s theorem 1991 Phys. Rev. Lett. 67 661
  6. Bennett C H, Brassard G, Mermin N D Quantum cryptography without Bell?s theorem Rev. Lett. 68 557 , 1992.
  7. Grover L K , Quantum Mechanics Helps in Searching for a Needle in a Haystack Phys. Rev. Lett. 79, 325 1997
  8. DiVincenzo D P, Quantum Computation Science 270 255, 1995.
  9. C. Lee , Y.C. Jeong, Y.S. Kim, Y.H. Kim, Experimental Demonstration of Decoherence Suppression via Quantum Measurement Reversal,? Opt. Express 19 (2011) 16309-16316.
  10. Yasushi Kondo, Yuichiro Matsuzaki, Kei Matsushima and Jefferson G Filgueiras, Using the quantum Zeno effect for suppression of decoherence. New Journal of Physics, 2016
  11. R Flack and B J Hiley, Weak measurement and its experimental realisation 2014 J. Phys.: Conf. Ser. 504 012016
  12. Bhatt, Johri U.C. Protection of an unknown quantum state against decoherence via weak measurement and quantum measurement reversal, Computer Science and Applications 2014? Vol. 1, No. 1 2014.
  13. Jong-Chan Lee, Youn-Chang Jeong, Yong-Su Kim, and Yoon-Ho Kim Experimental demonstration of decoherence suppression via quantum measurement reversal , Vol. 19, Issue 17, pp. 16309-16316 2011.
  14. Yong-Su Kim, Jong-Chan Lee,Osung Kwon& Yoon-Ho Kim Protecting entanglement from decoherence using weak measurement and quantum measurement reversal , Nature Physics 8, 117?120 (2012).

[Manju Bhatt. (2017); TRACE DISTANCE: A MEASURE OF QUANTUMNESS. Int. J. of Adv. Res. 5 (Jun). 1087-1090] (ISSN 2320-5407). www.journalijar.com

Manju Bhatt
Department of Physics, CBSH, GBPUA&T, Pantnagar, India

DOI:

Article DOI: 10.21474/IJAR01/4512      
DOI URL: https://dx.doi.org/10.21474/IJAR01/4512

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