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Quantum Electronics and Laser Science Conference

Electronic Quantum Computing

David Peter Divincenzo

Published May 21, 2006• 0 citations
OpenAlex

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We present the first step toward the quantum computing (QC) formulation of the electron nuclear dynamics (END) method within the variational quantum simulator (VQS) scheme: END/QC/VQS. END is a time-dependent, variational, on-the-flight, and non-adiabatic method to simulate chemical reactions. END represents nuclei with frozen Gaussian wave packets and electrons with a single-determinantal state in the Thouless non-unitary representation. Within the hybrid quantum/classical VQS, END/QC/VQS currently evaluates the metric matrix M and gradient vector V of the symplectic END/QC equations on the QC software development kit QISKIT, and calculates basis function integrals and time evolution on a classical computer. To adapt END to QC, we substitute the Thouless non-unitary representation with Fukutome unitary representation. We derive the first END/QC/VQS version for pure electronic dynamics in multielectron chemical models consisting of two-electron units with fixed nuclei. Therein, Fukutome unitary matrices factorize into triads of one-qubit rotational matrices, which leads to a QC encoding of one electron per qubit. We design QC circuits to evaluate M and V in one-electron diatomic molecules. In log2-log2 plots, errors and deviations of those evaluations decrease linearly with the number of shots and with slopes = −1/2. We illustrate an END/QC/VQS simulation with the pure electronic dynamics of H2+ We discuss the present results and future END/QC/QVS extensions.
Quantum computing has been predicted to radically change the electronics industry, especially by implementing ultra-fast processing. Different from other types of computers, quantum computers use qubits instead of binary bits since they can be in multiple states at once because of superposition and entanglement. This creates the ability to perform various calculations simultaneously thus introducing exponential increases in the processing capability hence the efficiency of quantum computers. The applicability of the findings to electronics is extensive since it can be applied in cryptography, artificial intelligence, and analysis of other complex data. Also, it is necessary to point out the potential for improving efficiency in the use of energy in computing systems due to progress in the area of quantum computing and the possible extension of prospects for miniaturization and the search for new materials. Though there are serious problems that are still unsolved, including qubit stability and error correction, continuous research and development works have the potential to solve those issues, and thus bring about a revolutionary change in the electronics of the future. In this paper, an evaluation of quantum computing in electronics is presented, with a focus on the effects that will be brought about and the relevant fields. This paper aims at giving an evaluation of quantum computing in electronics the effects that will be realized and the fields that will be impacted.