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Full-Text Articles in Engineering
Deterministic And Probabilistic Test Generation For Binary And Ternary Quantum Circuits, Sowmya Aligala, Sreecharani Ratakonda, Kiran Narayan, Kanagalakshmi Nagarajan, Martin Lukac, Jacob D. Biamonte, Marek Perkowski
Deterministic And Probabilistic Test Generation For Binary And Ternary Quantum Circuits, Sowmya Aligala, Sreecharani Ratakonda, Kiran Narayan, Kanagalakshmi Nagarajan, Martin Lukac, Jacob D. Biamonte, Marek Perkowski
Electrical and Computer Engineering Faculty Publications and Presentations
It is believed that quantum computing will begin to have an impact around year 2010. Much work is done on physical realization and synthesis of quantum circuits, but nothing so far on the problem of generating tests and localization of faults for such circuits. Even fault models for quantum circuits have been not formulated yet. We propose an approach to test generation for a wide category of fault models of single and multiple faults. It uses deterministic and probabilistic tests to detect faults. A Fault Table is created that includes probabilistic information. If possible, deterministic tests are first selected, while …
Exact Synthesis Of 3-Qubit Quantum Circuits From Non-Binary Quantum Gates Using Multiple-Valued Logic And Group Theory, Guowu Yang, William N. N. Hung, Xiaoyu Song, Marek Perkowski
Exact Synthesis Of 3-Qubit Quantum Circuits From Non-Binary Quantum Gates Using Multiple-Valued Logic And Group Theory, Guowu Yang, William N. N. Hung, Xiaoyu Song, Marek Perkowski
Electrical and Computer Engineering Faculty Publications and Presentations
We propose an approach to optimally synthesize quantum circuits from non-permutative quantum gates such as Controlled-Square-Root–of-Not (i.e. Controlled-V). Our approach reduces the synthesis problem to multiple-valued optimization and uses group theory. We devise a novel technique that transforms the quantum logic synthesis problem from a multi-valued constrained optimization problem to a permutable representation. The transformation enables us to utilize group theory to exploit the symmetric properties of the synthesis problem. Assuming a cost of one for each two-qubit gate, we found all reversible circuits with quantum costs of 4, 5, 6, etc, and give another algorithm to realize these reversible …