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- W3204165390 abstract "We propose a theory of classifying quantum circuits with qubit functional configurations. Any quantum circuit can be decomposed into alternating sequences of 1-qubit unitary gates and CNOT gates. Each CNOT sequence prepares the current quantum state into a layer of qubit functional configuration to specify the rule for the next 1-qubit unitary sequence on how to collectively modify the state vector entries. The functional configuration layers on a quantum circuit define its circuit type. These functional configuration types characterize important properties of the corresponding quantum circuits such as the circuit complexity, providing systematic knowledge of large collections of quantum circuits. We demonstrate the theory by analyzing the quantum Fourier transform circuit with the functional configuration picture. For potential applications, the functional configuration picture may allow systematic understanding of quantum algorithms based on their quantum circuit types, which can benefit the development of new algorithms." @default.
- W3204165390 created "2021-10-11" @default.
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- W3204165390 date "2021-10-05" @default.
- W3204165390 modified "2023-09-27" @default.
- W3204165390 title "Classifying quantum circuits with qubit functional configurations." @default.
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