Entanglement, Discord and Other Quantum Correlations

By A. Ravi. P. Rau

Department of Physics, Louisiana State University, Baton Rouge, LA

Published on

Abstract

While symmetry considerations have played a central role in many areas of physics, this has not been true in the new field of quantum information (computation, cryptography, and teleportation). We will discuss states and operators of two (or more) qubits, and higher dimensional "qudits," from the symmetry groups and algebras pertaining to them. The study of the time evolution of such systems can gain much from the insights and techniques provided by such considerations, especially of sub-groups relevant to particular Hamiltonians. Geometrical pictures that generalize the familiar Bloch sphere of a single spin/qubit are one product of such studies.

Bio

A. Ravi. P. Rau A. Ravi. P. Rau is a Professor of Physics at Louisiana State University who conducts theoretical studies in atomic and molecular physics. He has held visiting faculty positions at Yale, the Raman Research Institute, Bangalore, India, the Tata Institute of Fundamental Research, Bombay, India, the Australian National University, Camberra, and the University of Freiberg, German. he was also a Visiting Fellow at the Joint Institute for Laboratory Astrophysics, Boulder, Co, in 1984. He is a Fellow of the American Physical Society and wa awarded the K. S. Krishman Gold Medal from the University of Delhi.

Our recent interest is in the area of quantum information: studies of entanglement and other correlations such as quantum discord, their evolution under dissipative and decoherent processes and how they may be controlled, geometrical and symmetry studies of operators and states of N qubits and connections betweem the Lie and clifford algebras involved with topics in projective geometry and design theory.

Cite this work

Researchers should cite this work as follows:

  • A. Ravi. P. Rau (2019), "Entanglement, Discord and Other Quantum Correlations," https://nanohub.org/resources/31434.

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Time

Location

Physics, Room 242, Purdue University, West Lafayette, IN

Tags

Entanglement, Discord and Other Quantum Correlations
  • Entanglement, discord and other quantum correlations 1. Entanglement, discord and othe… 0
    00:00/00:00
  • Quantum Information 2. Quantum Information 149.51618284951618
    00:00/00:00
  • Quantum Correlations 3. Quantum Correlations 653.1531531531532
    00:00/00:00
  • Quantum Discord 4. Quantum Discord 1231.2979646312981
    00:00/00:00
  • Pure entangled Bell state 5. Pure entangled Bell state 1396.3296629963297
    00:00/00:00
  • Quantum Discord 6. Quantum Discord 1466.3997330663997
    00:00/00:00
  • Mazhar Ali 7. Mazhar Ali 1623.7237237237239
    00:00/00:00
  • classical 8. classical 1773.5735735735736
    00:00/00:00
  • Werner state 9. Werner state 1795.9292625959292
    00:00/00:00
  • Quantum mutual information 10. Quantum mutual information 1943.1765098431765
    00:00/00:00
  • For A a qubit: 11. For A a qubit: 2280.2135468802135
    00:00/00:00
  • System AB with A a qubit 12. System AB with A a qubit 2431.3313313313315
    00:00/00:00
  • X-state density matrix 13. X-state density matrix 2715.6823490156826
    00:00/00:00
  • Untitled: Slide 13 14. Untitled: Slide 13 2887.5208541875209
    00:00/00:00
  • two spins qubit pair 15. two spins qubit pair 3071.4714714714714
    00:00/00:00
  • Subgroup of SU(4) : SU(2) X U(1) X SU(2) 16. Subgroup of SU(4) : SU(2) X U(… 3082.0153486820154
    00:00/00:00
  • Parameters in density matrices 17. Parameters in density matrices 3236.8368368368369
    00:00/00:00
  • N qubit discord 18. N qubit discord 3239.0390390390394
    00:00/00:00
  • Discord calculation when A is higher dimensional 19. Discord calculation when A is … 3243.4434434434434
    00:00/00:00
  • Spin ½, Two-level system, Qubit 20. Spin ½, Two-level system, Qub… 3328.9622956289622
    00:00/00:00
  • Bloch sphere base space X fiber, a single phase 21. Bloch sphere base space X fibe… 3595.7624290957624
    00:00/00:00
  • Sub-algebra of so(5) with 10 parameters 22. Sub-algebra of so(5) with 10 p… 3735.9025692359028
    00:00/00:00