Elementary quantum gates between long-distance qubits mediated by a resonator
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Elementary quantum gates between long-distance qubits mediated by a resonator Ming-Cui Li1 · Ai-Xi Chen2 Received: 14 March 2020 / Accepted: 1 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We propose a scheme to realize Controlled-NOT, Controlled-V, Controlled-V † gate based on the indirect coupling of two qubits which are coupled to a common resonator. Based on the state-of-the-art controllability of longitudinal and transverse coupling between a qubit and a resonator, we let the control qubit couple to the resonator longitudinally and the target qubit couple to the resonator transversely. One can get the fidelity of these gates (as well as the synthesized Toffoli gate) over 99% within effective gate timescales. The proposed gate scheme is possible for the experimental setups where the effective qubit–resonator coupling strength is far bigger than the cavity decay rate and the dephasing rate of the qubits and applicable to quantum circuit synthesizing and long-distance qubit interaction. Keywords Quantum gate · Long distance · NCV · Fidelity
1 Introduction Quantum computing [1–3] operating on quantum bits, making direct use of superposition and entanglement, can be used in solving problems not practically feasible for classical mechanisms, such as integer factorization [4,5], cryptanalysis [6], and deep machine learning [7]. Quantum logic gates [8], the basic building blocks of quantum circuits, are important in quantum computing [9]. Quantum gates have been studied and implemented in various physical setups, such as quantum gates for trapped-ion qubits [10,11], optical-controlled quantum dots gates [12], voltage-controlled quantum dots gates [13], quantum gates based on Rydberg states of neutral atoms [14,15], quantum gates for NV center spins [16], and cavity-assisted quantum gates [17–22]. Scalability and operating on widely separated quantum logical qubits are among the
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Ai-Xi Chen [email protected]
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College of Information School, East China Jiaotong University, Nanchang 330013, China
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School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China 0123456789().: V,-vol
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most challenging issues in quantum information computation. A variety of methods for scaling are proposed and experimentally demonstrated, including using multilayer geometry to fabricate quantum circuits [23], getting the long-range interaction between two atoms by a flying photon [24], shuttling ions among different modules [25], implementing quantum gate teleportation via shared entanglement [26,27]. In recent years, the qubit–resonator coupling in superconducting system has been studied and experimentally demonstrated [28–30], which reveals that the coupling between qubit and resonator is controllable and one can choose between pure transverse coupling and pure longitudinal coupling. The controllable strong qubit–resonator coupling in microwave system, especially, is a promising method to achieve the long-range qubit interact
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