Abstract

We present some compact quantum circuits for a deterministic quantum computing on electron-spin qubits assisted by quantum dots inside single-side optical microcavities, including the CNOT, Toffoli, and Fredkin gates. They are constructed by exploiting the giant optical Faraday rotation induced by a single-electron spin in a quantum dot inside a single-side optical microcavity as a result of cavity quantum electrodynamics. Our universal quantum gates have some advantages. First, all the gates are accomplished with a success probability of 100% in principle. Second, our schemes require no additional electron-spin qubits and they are achieved by some input-output processes of a single photon. Third, our circuits for these gates are simple and economic. Moreover, our devices for these gates work in both the weak coupling and the strong coupling regimes, and they are feasible in experiment.

Highlights

  • In quantum computing, a quantum algorithm is usually realized by a sequence of quantum gates [1]

  • Our quantum circuits for the Toffoli and Fredkin gates beat their synthesis with two-qubit entangling gates and single-qubit gates largely

  • Physical realization of multiqubit gates is a main direction as the optimal length of the unconstructed circuit for a generic n-qubit gate is [(4n − 3n − 1)/4] [55]

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Summary

INTRODUCTION

A quantum algorithm is usually realized by a sequence of quantum gates [1]. To achieve a nontrivial nonlinearity between two individual qubits for a deterministic quantum computation with the present experimental techniques, an appealing platform for quantum information processing with an artificial atom and a cavity is proposed [12, 13]. A quantum system combining a cavity and an artificial atom, such as a quantum dot (QD), a superconducting qubit, or a diamond nitrogen-vacancy center, is a perfect platform for quantum information processing because of its long coherence time and its good scalability By utilizing such a platform, some interesting schemes were proposed for implementing the quantum gates on hybrid photon-matter systems [12,13,14,15]. We present some compact quantum circuits for a universal quantum computing on an electron-spin system assisted by the QDs inside single-side optical microcavities. These universal solid-state quantum gates are feasible

A singly charged quantum dot in a single-side optical resonant microcavity
Compact circuit for a CNOT gate on a stationary electron-spin system
THE FEASIBILITIES AND EFFICIENCIES OF OUR SCHEMES
Findings
DISCUSSION AND SUMMARY
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