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The Effective Spin Concept to Study the Properties of the Shannon Entropy of Arrays of Elastic Scatterers

Liu, Wei
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1331300313

Abstract Details

2012, MS, University of Cincinnati, Engineering and Applied Science: Electrical Engineering.
An “effective spin” concept is introduced to underpin the fundamental analogy between two disparate fields of physics – phase coherent transport in mesoscopic systems and spin-based quantum information processing. When coupled with the Bloch sphere concept, this isomorphism allows formulation of transport problems in a language more familiar to researchers in the field of spintronics and quantum computing. We exemplify the synergy between charge tunneling and spin qubit unitary operations by recasting well-known problems of tunneling through a delta scatterer, a resonant tunneling structure, a superlattice structure, and arrays of elastic scatterers, in terms of specific unitary operations (rotations) of a spinor on the Bloch sphere. Furthermore, we examine the potential use of random arrays of elastic scatterers as quantum information processors by calculating the properties of their Shannon entropy under the assumption of phase coherent charge transport. The numerical values of the Shannon entropy average and variance are very sensitive to the nature of the impurities, whether attractive, repulsive, or a combination of both; besides, the inclusion of evanescent modes has a profound influence on the value of the Shannon entropy and its associated signal-to-noise ratio (SNR). In samples with repulsive scatterers, the SNR can be tuned over a wide range by applying a potential through a gate to change the impurity potentials from repulsive to attractive by moving their energy levels with respect to the quasi-Fermi level in the sample.
Marc Cahay, PhD (Committee Chair)
Punit Boolchand, PhD (Committee Member)
Altan Ferendeci, PhD (Committee Member)
80 p.
Electrical Engineering
effective spin; Bloch sphere; Shannon entropy; arrays of elastic scatterers; evanescent modes; ;

Recommended Citations

Citations

  • Liu, W. (2012). The Effective Spin Concept to Study the Properties of the Shannon Entropy of Arrays of Elastic Scatterers [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1331300313

    APA Style (7th edition)

  • Liu, Wei. The Effective Spin Concept to Study the Properties of the Shannon Entropy of Arrays of Elastic Scatterers. 2012. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1331300313.

    MLA Style (8th edition)

  • Liu, Wei. "The Effective Spin Concept to Study the Properties of the Shannon Entropy of Arrays of Elastic Scatterers." Master's thesis, University of Cincinnati, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1331300313

    Chicago Manual of Style (17th edition)

ucin1331300313
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This open access ETD is published by University of Cincinnati and OhioLINK.