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Journal of Modern Optics

Three-qubit network with a single trapped electron

Giacomo Ciaramicoli, Irene Marzoli, Paolo Tombesi

Published Jul 1, 2002• 9 citations
Publisher

Abstract

We show how a single trapped electron offers the opportunity to realize a universal three-qubit network within the present experimental possibilities. This is achieved by encoding quantum information in the energy states of the cyclotron and spin motions. Furthermore we give the prescriptions to implement the Deutsch-Jozsa algorithm, the Grover algorithm and the quantum Fourier transform.

DOI
10.1080/09500340210130138

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We show how a single trapped electron offers the opportunity to realize a universal three-qubit network within the present experimental possibilities. This is achieved by encoding quantum information in the energy states of the cyclotron and spin motions. Furthermore we give the prescriptions to implement the Deutsch-Jozsa algorithm, the Grover algorithm and the quantum Fourier transform.
The implementation of a quantum computer requires the realization of a large number of N-qubit unitary operations which represent the possible oracles or which are part of the quantum algorithm. Until now there have been no standard ways to uniformly generate whole classes of N-qubit gates. We develop a method to generate arbitrary controlled phase-shift operations with a single network of one-qubit and two-qubit operations. This kind of network can be adapted to various physical implementations of quantum computing and is suitable to realize the Deutsch-Jozsa algorithm as well as Grover's search algorithm.
A one-electron qubit would offer a new option for quantum information science, including the possibility of extremely long coherence times. One-quantum cyclotron transitions and spin flips have been observed for a single electron in a cylindrical Penning trap. However, an electron suspended in a planar Penning trap is a more promising building block for the array of coupled qubits needed for quantum information studies. The optimized design configurations identified here promise to make it possible to realize the elusive goal of one trapped electron in a planar Penning trap---a substantial step toward a one-electron qubit.