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International Journal of Quantum Information

QUANTUM INFORMATION PROCESSING IN AN ARRAY OF SUPERCONDUCTING TRANSMISSION LINE RESONATORS

Jian Li, Jian Zou, Bin Shao

Published Sep 1, 2009• 0 citations
Publisher

Abstract

We consider a one-dimensional array of superconducting transmission line resonators (TLRs). The TLRs are coupled by current-biased Josephson junctions, which act as tunable couplers between each two nearest TLRs, and a superconducting qubit is fabricated in the center of each TLR. We show that some important quantum information processing, such as quantum state transfer and preparation of remote entanglement, can be achieved in this system, and we also propose a scheme for generating the W-class states.

DOI
10.1142/s0219749909005778

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We consider a one-dimensional array of superconducting transmission line resonators (TLRs). The TLRs are coupled by current-biased Josephson junctions, which act as tunable couplers between each two nearest TLRs, and a superconducting qubit is fabricated in the center of each TLR. We show that some important quantum information processing, such as quantum state transfer and preparation of remote entanglement, can be achieved in this system, and we also propose a scheme for generating the W-class states.
Realization of controllable interaction between subsystems is one of the major problems in solid-state quantum computing. We study a current-biased Josephson junction (CBJJ) as a tunable coupler for superconducting transmission-line resonators (TLR). By modulating the bias current, the junction can be tuned in and out of resonance with the TLRs connected to it. Various inter-TLR quantum operations can be reliably implemented by controlling the mediating CBJJ. The main decoherence sources are analyzed in detail. This work may offer improvement to scalable quantum computing in coupled TLR-cavity array system.
Realization of controllable interaction between distant qubits is one of the major problems in scalable solid-state quantum computing. We study a superconducting transmission line resonator (TLR) as a tunable dispersive coupler for the double-dot molecules. A general interaction Hamiltonian of nnn two-electron spin-based qubits and the TLR is presented, where the double-dot qubits are biased at the large detuning region and the TLR is always empty and virtually excited. Our analysis of the main decoherence sources indicates that various major quantum operations can be reliably implemented with current technology.
Although the multi-level structure of superconducting qubits may result in calculation errors, it can be rationally used to effectively improve the speed of gate operations. Utilizing a current-biased Josephson junction (λ-type rf-SQUID) as a tunable coupler for superconducting transmission line resonators (TLRs), under the large detuning condition, we demonstrate the controllable generation of entangled coherent states in circuit quantum electrodynamics (circuit QED). The coupling between the TLRs and the qubit can be effectively regulated by an external bias current or coupling capacitor. Further investigations indicate that the maximum entangled state can be obtained through measuring the excited state of the superconducting qubits. Then, the influence of the TLR decay on the prepared entangled states is analyzed.
We propose a potentially practical scheme for creating entanglement between two distant nitrogen-vacancy-center (N-VVV) spin ensembles using a current-biased Josephson junction superconducting qubit and transmission line resonators. The idea provides a scalable way to an N-VVV ensemble-based quantum network, which is close to the reach with currently available technology.
We study a hybrid quantum computing system using a nitrogen-vacancy center ensemble (NVE) as quantum memory, a current-biased Josephson junction (CBJJ) superconducting qubit fabricated in a transmission line resonator (TLR) as the quantum computing processor, and the microwave photons in TLR as the quantum data bus. The storage process is seriously treated by considering all kinds of decoherence mechanisms. Such a hybrid quantum device can also be used to create multiqubit WWW states of NVEs through a common CBJJ. The experimental feasibility is achieved using currently available technology.