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Physical Review A

Scalability of quantum computing based on nanomechanical resonators

Li-gong Zhou, Ming Gao, Jinlin Peng, Xiang‐Bin Wang

Published Apr 25, 2012• 1 citation
Publisher

Abstract

We study scalability of quantum computing based on nanomechanical resonators (NAMRs), including the consequences of the effective next-nearest-neighbor spin-spin couplings induced by the NAMRs, NAMR frequency errors, and NAMR-spin coupling errors on the scalability of quantum computing based on NAMRs. We show the fidelity change of the quantum operation due to these errors numerically. Switchable interactions between NAMRs can be achieved by adding control gates. Based on this modification, we present a method to perfectly avoid the next-nearest-neighbor spin-spin couplings and compensate for the negative effects due to the frequency errors and spin coupling errors.

DOI
10.1103/physreva.85.042326

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We study scalability of quantum computing based on nanomechanical resonators (NAMRs), including the consequences of the effective next-nearest-neighbor spin-spin couplings induced by the NAMRs, NAMR frequency errors, and NAMR-spin coupling errors on the scalability of quantum computing based on NAMRs. We show the fidelity change of the quantum operation due to these errors numerically. Switchable interactions between NAMRs can be achieved by adding control gates. Based on this modification, we present a method to perfectly avoid the next-nearest-neighbor spin-spin couplings and compensate for the negative effects due to the frequency errors and spin coupling errors.
Minimizing gate depth is important for extending the computational power of a noisy quantum processor, and native multiqubit gates could dramatically reduce the gate depth of generic circuits. To that end, although various approaches have been proposed, practical realization may be hindered by stringent control requirements, or by poor compatibility with existing schemes for one- or two-qubit operations. Here researchers employ a scalable architecture comprising two types of qubits to realize switchable coupling. This allows for a simple control strategy to realize native three-qubit gates, which may become a key element in e.g.e.g.e.g. quantum chemistry simulations.
We propose a quantum computing architecture based on the integration of nanomechanical resonators with Josephson-junction phase qubits. The resonators are GHz-frequency, dilatational disk resonators, which couple to the junctions through a piezoelectric interaction. The system is analogous to a collection of tunable few-level atoms (the Josephson junctions) coupled to one or more electromagnetic cavities (the resonators). Our architecture combines desirable features of solid-state and optical approaches and may make quantum computing possible in a scalable, solid-state environment.
Nanomechanical structures have been investigated as a method of achieving long-lived quantum excitations at radio frequencies. Their high quality factors are especially intriguing as a medium for bosonic encoding of quantum information. However, to leading order, mechanical modes typically lack the nonlinearities necessary to achieve interaction between bosonic channels and thus are limited in their ability to scale to the many-qubit regime necessary for practical quantum computing. In this work, we propose and describe an approach for bosonic quantum information processing that uses strain-sensitive solid-state spins as nonlinear elements to produce the relevant nonclassical mechanical states. We outline the architecture required to achieve nearest-neighbor connectivity between mechanical cat-state qubits on-chip, as well as the control and readout architecture required for universal quantum computation. In addition, we show that this architecture can allow for a high spatial density of logical qubits by leveraging both the efficiency of bosonic error correction schemes and the small sizes of the constituent nanomechanical resonators and spin qubits. Finally, we identify the necessary performance metrics that will enable error-correction thresholds at high qubit densities, illuminating a path towards scalable quantum information processing.
We describe the design for a scalable, solid-state quantum-information-processing architecture based on the integration of GHz-frequency nanomechanical resonators with Josephson tunnel junctions, which has the potential for demonstrating a variety of single- and multiqubit operations critical to quantum computation. The computational qubits are eigenstates of large-area, current-biased Josephson junctions, manipulated and measured using strobed external circuitry. Two or more of these phase qubits are capacitively coupled to a high-quality-factor piezoelectric nanoelectromechanical disk resonator, which forms the backbone of our architecture, and which enables coherent coupling of the qubits. The integrated system is analogous to one or more few-level atoms (the Josephson junction qubits) in an electromagnetic cavity (the nanomechanical resonator). However, unlike existing approaches using atoms in electromagnetic cavities, here we can individually tune the level spacing of the ``atoms'' and control their ``electromagnetic'' interaction strength. We show theoretically that quantum states prepared in a Josephson junction can be passed to the nanomechanical resonator and stored there, and then can be passed back to the original junction or transferred to another with high fidelity. The resonator can also be used to produce maximally entangled Bell states between a pair of Josephson junctions. Many such junction-resonator complexes can be assembled in a hub-and-spoke layout, resulting in a large-scale quantum circuit. Our proposed architecture combines desirable features of both solid-state and cavity quantum electrodynamics approaches, and could make quantum-information processing possible in a scalable, solid-state environment.