Quantum State Tomography of Single Qubit Using Density Matrix


  • Syafi’i Fahmi Bastian UIN Sunan Kalijaga Yogyakarta
  • Pruet Kalasuwan Prince of Songkla University
  • Joko Purwanto UIN Sunan Kalijaga Yogyakarta


Keywords: a single qubit, density matrix, quantum state.


Abstract. The quantum state tomography is a fundamental part in the development of quantum technologies. It can be used to know the signal characterization of small particle called photon in the nanoscale. In this study, photon number has been measured in order to produce the states tomography. Optical devices and quantum-mechanical approaches were explored to obtain the quantum state tomography. Due to a single qubit state density matrix can be revealed by Stokes parameters, so there are four set-ups to measure the Stokes parameters for each sample. The density matrix is used because the pure state only appear theoreticaly. In the real experiment, It always exibits a mixed state. The samples of tomography measurements consist of linear state, cicular state and the IR 808nm. In this study, state tomography is shown by 2x2 density matrix. This experiment also provides the fidelities of experiment result. And it shows the good agreement. From this experiment, the state of IR 808nm has been detected. The laser that examined is showing a vertical state with fidelity F=97,34%. 


Download data is not yet available.


Altepeter, J. B., James, D. F., & Kwiat, P. G. (2004). Quantum State Tomography. University of Illinois. Bjork, G. (2003). The Diract-notation in Quantum Optics. Kista, Sweden. Eidenbenz, S. (2018). Quantum Algorithm Implementations for Beginers. New Mexico, USA. Fowles, G. R. (1975). Introduction to Modern Optics. New York: General Publishing Company. Gillespie, D. T. (1988). The Theory of Quantum Mechanis. California: Research Department, Naval Weapons Center. Henao, M. A. (2017). Reconstruction of Single and 2 Qubit Density Matrices Using Quantum State Tomography. Universidad de los Andes. James, D. F. (2008). On the Measurement of Qubit. Phys Rev A. Cornell University Mayorga, M. R. (2018). Reduce Density Matrices: Development and Chemical Application. Girona: Universitat de Girona. Monteiro, M. (2016). The Polarization of Light and The Maulus' Law Using Smartphones. Uruguay. Niggebaum, A. (2011). Quantum State Tomography of 6 Qubit Photonic Symmetric Dicke State. Muchen. Pomrenke, G. (2004). Nanoelectrics, Nanophotonic, and Nanomagnetics. The Nanoscale Science, Engineering, and Technology (NSET), 18. Rizea, A. (2011). Design Techniques for All-dielectric Polarizing Beam Splitter Cubes, Under Constrained Situation. Romania: Romania Reports in Physics, Vol.64, No. 2, P. 482-491,2012. Rothberg, J. (2008). Outline:Introduction to Quantum Mechanics. University of Washington Shabestari, N. P. (2013). Design and fabrication of polarizing beam splitter gratings for 441.6 nm. Journal of Applied Spectroscopy, 2.




How to Cite

Bastian, S. F. ., Kalasuwan, P. ., & Purwanto, . J. . (2021). Quantum State Tomography of Single Qubit Using Density Matrix. Proceeding International Conference on Science and Engineering, 4, 27–32. Retrieved from http://sunankalijaga.org/prosiding/index.php/icse/article/view/615