Modularization of multi-qubit controlled phase gate and its NMR implementation

Abstract

Quantum circuit network is a set of circuits that implements a certain computation task. Being at the center of the quantum circuit network, the multi-qubit controlled phase shift is one of the most important quantum gates. In this paper, we apply the method of modular structuring in classical computer architecture to quantum computer and give a recursive realization of the multi-qubit phase gate. This realization of the controlled phase shift gate is convenient in realizing certain quantum algorithms. We have experimentally implemented this modularized multi-qubit controlled phase gate in a three qubit nuclear magnetic resonance quantum system. The network is demonstrated experimentally using line selective pulses in nuclear magnetic resonance technique. The procedure has the advantage of being simple and easy to implement.

to appear in Journal of Optics B: Quantum and Semiclassical Optics

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• Multiplex-controlled phase gate with qubits distributed in a multi-cavity system
• Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming
• Simple realization of a hybrid controlled-controlled-Z gate with photonic control qubits encoded via eigenstates of the photon-number parity operator
• Realization of Heisenberg models of spin systems with polar molecules in pendular states
• A proposal for implementing an n-qubit controlled-rotation gate with three-level superconducting qubit systems in cavity QED