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Physical Review A

Robustness of quantum gates with hybrid spin-photon qubits in superconducting resonators

Alessandro Chiesa, Dario Gerace, Filippo Troiani, G. Amoretti, Paolo Maria Santini, Stefano Carretta

Published May 9, 2014• 11 citations
Publisher

Abstract

We discuss a scalable scheme for the implementation of quantum-information processing in qubits formed by superconducting resonators and spin ensembles. The scheme is based on a hybrid dual-rail encoding, which allows one to perform both single- and two-qubit gates by shifting the resonator frequency. We estimate the quantum-gate fidelity by simulating the driven dynamics through a master-equation approach. High values of the fidelity can be achieved also in the presence of the main decoherence sources, namely, cavity-photon loss, and pure dephasing of the superconductive elements that are involved in the two-qubit gates. This result allows envisioning the scalability of such elements to a quantum-computing architecture made of an array of hybrid spin-photon qubits. Analogous results are obtained for a simpler, nonscalable setup, which we propose here in order to simplify the realization of the first proof-of-principle experiments.

DOI
10.1103/physreva.89.052308

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We discuss a scalable scheme for the implementation of quantum-information processing in qubits formed by superconducting resonators and spin ensembles. The scheme is based on a hybrid dual-rail encoding, which allows one to perform both single- and two-qubit gates by shifting the resonator frequency. We estimate the quantum-gate fidelity by simulating the driven dynamics through a master-equation approach. High values of the fidelity can be achieved also in the presence of the main decoherence sources, namely, cavity-photon loss, and pure dephasing of the superconductive elements that are involved in the two-qubit gates. This result allows envisioning the scalability of such elements to a quantum-computing architecture made of an array of hybrid spin-photon qubits. Analogous results are obtained for a simpler, nonscalable setup, which we propose here in order to simplify the realization of the first proof-of-principle experiments.
Resolving quantum many-body problems represents one of the greatest challenges in physics and physical chemistry, due to the prohibitively large computational resources that would be required by using classical computers. A solution has been foreseen by directly simulating the time evolution through sequences of quantum gates applied to arrays of qubits, i.e. by implementing a digital quantum simulator. Superconducting circuits and resonators are emerging as an extremely promising platform for quantum computation architectures, but a digital quantum simulator proposal that is straightforwardly scalable, universal, and realizable with state-of-the-art technology is presently lacking. Here we propose a viable scheme to implement a universal quantum simulator with hybrid spin-photon qubits in an array of superconducting resonators, which is intrinsically scalable and allows for local control. As representative examples we consider the transverse-field Ising model, a spin-1 Hamiltonian, and the two-dimensional Hubbard model and we numerically simulate the scheme by including the main sources of decoherence.
We introduce a scheme to perform quantum information processing that is based on a hybrid spin-photon qubit encoding. The proposed qubits consist of spin ensembles coherently coupled to microwave photons in coplanar waveguide resonators. The quantum gates are performed solely by shifting the resonance frequencies of the resonators on a nanosecond time scale. An additional cavity containing a Cooper-pair box is exploited as an auxiliary degree of freedom to implement two-qubit gates. The generality of the scheme allows its potential implementation with a wide class of spin systems.
Implementing complex sequences of gates is crucial for any quantum computing architecture to become practical. This requires long-lived qubits which can be manipulated many times without errors. Here we propose a scheme to process hybrid qubits consisting of spin ensembles coupled to superconducting resonators in a cavity-protection regime, which enhances their coherence time by orders of magnitude. We perform numerical experiments for the quantum simulation of the XYXYXY model and the quantum Fourier transform, by including all the main decoherence mechanisms and assuming system parameters that are guaranteed by present technology.
Electron spin qubits in silicon quantum dots are an attractive candidate for large-scalable quantum computation. An essential step for quantum information processing based on spin qubits is to realize the spatially separated two-qubit gate and entanglement with high fidelity. Here, we consider two spin qubits coupled to a common superconducting resonator in circuit quantum electrodynamics. We investigate the long-range two-qubit iSWAP gate mediated by virtual microwave photons using a Gaussian smoothing pulse. We show that the entangling gate fidelity can reach [Formula: see text] under realistic experimental conditions and analyze the factors limiting gate fidelity. Moreover, we numerically demonstrate the generation of remote Bell entangled states of spin qubits with high fidelity. In addition, this spin–resonator architecture can be used to implement quantum algorithms using our scheme. These results pave the way for quantum information processing with spin qubits.
A design is proposed for scalable solid-state quantum computing, which is based on collectively enhanced magnetic coupling between nitrogen-vacancy center ensembles and superconducting transmission line resonators interconnected by current-biased Josephson junction superconducting phase qubit. In this hybrid system, we realize distant multi-qubit controlled phase gate operations and generate distant multi-qubit entangled W-like states, being indispensable resource to quantum computation. Our proposed architecture consists of solid-state spin ensembles and circuit QED, and could achieve quantum computing in a solid-state environment with high-fidelity and scalable way. The experimental feasibility is discussed, and the implementation efficiency is demonstrated numerically.
The recent realization of a coherent interface between a single electron in a silicon quantum dot and a single photon trapped in a superconducting cavity opens the way for implementing photon-mediated two-qubit entangling gates. In order to couple a spin to the cavity electric field, some type of spin-charge hybridization is needed, which impacts spin control and coherence. In this work we propose a cavity-mediated two-qubit gate and calculate cavity-mediated entangling gate fidelities in the dispersive regime, accounting for errors due to the spin-charge hybridization, as well as photon- and phonon-induced decays. By optimizing the degree of spin-charge hybridization, we show that two-qubit gates mediated by cavity photons are capable of reaching fidelities exceeding 9090%90 in present-day device architectures. High iswap gate fidelities are achievable even in the presence of charge noise at the level of $2\phantom{\rule{0.28em}{0ex}}\ensuremath{\mu}\text{eV}$.