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arXiv:0804.3187 · Physical Review Letters

Generation of Quantum-Dot Cluster States with a Superconducting Transmission Line Resonator

Zhirong Lin, Guo‐Ping Guo, Tao Tu, Feiyun Zhu, Guang‐Can Guo

Published Dec 1, 2008• 78 citations
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Abstract

We propose an efficient method to generate cluster states in spatially separated double quantum dots with a superconducting transmission line resonator. When the detuning between the double-dot qubit transition frequency and the frequency of the full wave mode in the transmission line resonator satisfies some conditions, an Ising-like operator between an arbitrary two separated qubits can be achieved. Even including the main noise sources, it is shown that the high fidelity cluster states could be generated in this solid system in just one step.

DOI
10.1103/physrevlett.101.230501

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Chinese Physics Letters•Mar 1, 2010•2 citations
We propose an efficient method to generate cluster states in spatially separated double quantum dots with a superconducting transmission line resonator. When the detuning between the double-dot qubit transition frequency and the frequency of the full wave mode in the transmission line resonator satisfies some conditions, an Ising-like operator between an arbitrary two separated qubits can be achieved. Even including the main noise sources, it is shown that the high fidelity cluster states could be generated in this solid system in just one step.
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.
We propose theoretical schemes to generate highly entangled cluster state with superconducting qubits in a circuit QED architecture. Charge qubits are located inside a superconducting transmission line, which serves as a quantum data bus. We show that large clusters state can be efficiently generated in just one step with the long-range Ising-like unitary operators. The quantum operations which are generally realized by two coupling mechanisms: either voltage coupling or current coupling, depend only on global geometric features and are insensitive not only to the thermal state of the transmission line but also to certain random operation errors. Thus high-fidelity one-way quantum computation can be achieved.
The cluster state quantum computation is a versatile approach to build a scalable quantum computer. In this thesis we theoretically demonstrate that a one dimensional array of double quantum dots with long spin relaxation time can evolve to a cluster state via capacitive coupling to a transmission line resonator. By applying an oscillating voltage to gates of the double quantum dots, we prove that the evolution operator for such interaction is an Ising-like operator. Subsequently, the interacting qubits will become highly entangled that we realize a cluster state. Furthermore, we propose an experiment to investigate validity of our theoretical method. Considering the current advanced technology in semiconductor nanofabrication, our proposed structure can be integrated on a chip where provides scalability and convenient control of the qubits. The scalability of our scheme implies that we can expand this structure to higher dimensional arrays of the qubits where paves the way for further experimental investigation on the theory of measurement-based quantum computation.
We propose a mechanism for coupling spin qubits formed in double quantum dots to a superconducting transmission line resonator. Coupling the resonator to the gate controlling the interdot tunneling creates a spin qubit-resonator interaction with a strength of tens of MHz. This mechanism allows operating the system at a symmetry point where decoherence due to charge noise is minimized. The transmission line can serve as the shuttle, allowing for fast two-qubit operations including the generation of qubit-qubit entanglement and the implementation of a controlled-phase gate.
An entanglement purification protocol for mixed entangled states is presented via double quantum dot molecules inside a superconducing transmission line resonator (TLR). In the current scenario, coupling for arbitrary double quantum dot molecules can be tuned via the TLR in the large detuning region by controlling the qubit level splitting. The TLR is always empty and only virtually excited, so the interaction is insensitive to both the TLR decay and thermal field. Discussion about the feasibility of our scheme shows that the entanglement purification can be implemented with high fidelity and successful probability.