Entanglement Measure Based on Matrix Realignment


  • Sushamana Sharma Department of Physics, JIET College of Engineering, Rajasthan, India
  • J. K. Sharma Jai Narain Vyas University, Jodhpur, Rajasthan, India




Concurrence, Density matrix, Quantum Information Processing, Quantum Entanglement, Matrix Realignment Criterion


Quantum information processing is the essential requirement of quantum technology. The foundation of information processing is the quantum entanglement. We propose a new entanglement measure to quantify entanglement and it is based on matrix realignment technique. A comparative study of proposed measure with concurrence for different types of entangled states is also discussed.


Charles H. Bennett and David P. DiVincenzo, “Quantum Information and Computation”, Nature, Vol. 404, pp. 247-255, 2000.

A. Einstein, B. Podolsky and N. Rosen, “Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?”, Phys. Rev. Vol. 47, pp. 777-780, 1935.

E. Schrödinger , Die Naturwissenschaften, Vol. 23, pp. 807, 1935

J. S. Bell, “On the Einstein PodolskyRosen paradox”, Physics (Long Island City, N.Y.) Vol. 1, pp. 195-200, 1964.

R. F. Werner, “Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model”, Phys. Rev. A, Vol. 40, pp. 4277, 1989.

K. G. H. Vollbrecht and R.F. Werner, “Entanglement Measures Under Symmetry”, Phys. Rev. A, Vol. 64, pp. 062307, 2001.

R. Horodecki, P. Horodecki, M. Horodecki and K. Horodecki, “Quantum Entanglement”, Rev. Mod. Phys., Vol. 81, pp. 865, 2009. or eprint quant-ph/0702225, pg. 110

A. Peres, “Separability Criterion for Density Matrices”, Phys. Rev. Lett., Vol. 77, pp. 1413 , 1996.

A. Miranowicz, M. Piani, P. Horodecki and R. Horodecki, “Inseparability Criteria Based On Matrices Of Moments”, Phys. Rev. A, Vol. 80, pp. 052303, 2009 or eprint quant-ph/0605001

G. Vidal and R.F. Werner, “Computable Measure of Entanglement”, Phys. Rev. A, Vol. 65, pp. 032314, 2002.

W.K. Wootters, “Entanglement of Formation of an Arbitrary State of Two Qubits”, Phys. Rev. Lett., Vol. 80, pp. 2245, 1998.




How to Cite

Sharma, S., & Sharma, J. K. (2018). Entanglement Measure Based on Matrix Realignment. Asian Journal of Science and Applied Technology, 7(1), 17–19. https://doi.org/10.51983/ajsat-2018.7.1.1024