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Full-Text Articles in Engineering

Square Root Of "Not": A Major Difference Between Fuzzy And Quantum Logics, Vladik Kreinovich, Ladislav J. Kohout, Eunjin Kim Jul 2009

Square Root Of "Not": A Major Difference Between Fuzzy And Quantum Logics, Vladik Kreinovich, Ladislav J. Kohout, Eunjin Kim

Departmental Technical Reports (CS)

Many authors have mentioned the similarity between quantum logic and fuzzy logic. In this paper, we show that, in spite of this similarity, these logics are not identical. Specifically, we emphasize that while quantum logic has a special ``square root of not'' operation which is very useful in quantum computing, fuzzy logic lacks such an operation.


Fabrication And Device Applications Of Self Assembled Nanostructures, Bhargava Ram Kanchibotla V May 2009

Fabrication And Device Applications Of Self Assembled Nanostructures, Bhargava Ram Kanchibotla V

Theses and Dissertations

The spin dynamics of electrons in inorganic and organic semiconducting nanostructures has become an area of interest in recent years. The controlled manipulation of an electron’s spin, and in particular its phase, is the primary requirement for applications in quantum information processing. The phase decoheres in a time known as the transverse relaxation time or T2 time. We have carried out a measurement of the ensemble-averaged transverse spin relaxation time (T2*) in bulk and few molecules of the organic semiconductor tris-(8-hydroxyquinolinolato aluminum) or Alq3. The Alq3 system exhibits two characteristic T2* times: the longer of which is temperature independent and …


Extended Superposed Quantum State Initialization Using Disjoint Prime Implicants, David Rosenbaum, Marek Perkowski May 2009

Extended Superposed Quantum State Initialization Using Disjoint Prime Implicants, David Rosenbaum, Marek Perkowski

Electrical and Computer Engineering Faculty Publications and Presentations

Extended Superposed Quantum State Initialization Using Disjoint Prime Implicants (ESQUID) is a new algorithm for generating quantum arrays for the purpose of initializing a desired quantum superposition. The quantum arrays generated by this algorithm almost always use fewer gates than other algorithms and in the worst case use the same number of gates. These improvements are achieved by allowing certain parts of the quantum superposition that cannot be initialized directly by the algorithm to be initialized using special circuits. This allows more terms in the quantum superposition to be initialized at the same time which decreases the number of gates …


Quantum Computing As A Particular Case Of Computing With Tensors, Martine Ceberio, Vladik Kreinovich Jan 2009

Quantum Computing As A Particular Case Of Computing With Tensors, Martine Ceberio, Vladik Kreinovich

Departmental Technical Reports (CS)

One of the main potential applications of uncertainty in computations is quantum computing. In this paper, we show that the success of quantum computing can be explained by the fact that quantum states are, in effect, tensors.