Effect of image charge on double quantum dot evolution

Filippov, S.; Vyurkov, V.; Fedichkin, Leonid

doi:10.1016/j.physe.2011.09.028

Cited by 11 publications

(6 citation statements)

References 26 publications

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“…A direct extension of this work is to probe the decoherence of the order parameter near the LZ critical point using both a Raman Ramsey measurement of T 2 relaxation of the zigzag mode and Raman sideband thermometry to assess the T 1 relaxation associated with motional heating. An estimate of the fundamental decoherence limit of image current damping on the zigzag dynamics [39,40] shows that it is negligible for our ion-electrode distance in comparison to the measured decoherence rate of 0.3-0.5 ms −1 near the critical point. Given that we expect the origin of the decoherence is technical in nature, improvements are possible by increasing the ion confinement with smaller trap structures to scale up the characteristic frequencies, and by the reduction of phase noise in the trapping potentials through optimization of the active trap voltage stabilization and the use of additional passive measures, including rf filtering from a higher quality factor rf resonator in a cryogenic trap system.…”

Section: Discussionmentioning

confidence: 67%

Spectroscopic Characterization of the Quantum Linear-Zigzag Transition in Trapped Ions

Zhang¹,

T.²,

Ejtemaee³

et al. 2022

Preprint

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While engineered quantum systems are a general route to the manipulation of multipartite quantum states, access in a physical system to a continuous quantum phase transition under sufficient control offers the possibility of an intrinsic source of entangled states. To this end we realize the quantum version of the linear-zigzag structural transition for arrays of up to five ground statecooled ions held in a linear Paul trap and we demonstrate several of the control requirements towards entangled-state interferometry near the critical point. Using in-situ spectroscopy we probe the energy level structure and occupation of the soft mode associated with the structural transition, and show a stable critical point and majority ground state occupation crossing the transition. We resolve biases arising from trap electrode asymmetries that change the nature of the transition, show that they can be suppressed by varying the ion number, and demonstrate control of the transition bias using optical dipole forces.

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Section: Discussionmentioning

confidence: 67%

Spectroscopic Characterization of the Quantum Linear-Zigzag Transition in Trapped Ions

Zhang¹,

T.²,

Ejtemaee³

et al. 2022

Preprint

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“…Let us consider an error correction in silicon, where the qubit represents as a state of an electron in the double quantum dot [5,[28][29][30]. To describe the entire system of five qubit we use our results for measure of decoherence in Eqs.…”

Section: Qec Resultsmentioning

confidence: 99%

“…We represent the quantum operation shown in Eq. (30) in the form of χ 0 -matrix in Pauli matrix basis:…”

Section: A Amplitude Dampingmentioning

confidence: 99%

Measure of decoherence in quantum error correction for solid-state quantum computing

Melnikov

Fedichkin

2013

SPIE Proceedings

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We considered the interaction of semiconductor quantum register with noisy environment leading to various types of qubit errors. We analysed both phase and amplitude decays during the process of electron-phonon interaction. The performance of quantum error correction codes (QECC) which will be inevitably used in full scale quantum information processors was studied in realistic conditions in semiconductor nanostructures. As a hardware basis for quantum bit we chose the quantum spatial states of single electron in semiconductor coupled double quantum dot system. The modified 5-and 9-qubit quantum error correction (QEC) algorithms by Shor and DiVincenzo without error syndrome extraction were applied to quantum register. 5-qubit error correction procedures were implemented for Si charge double dot qubits in the presence of acoustic phonon environment. χ-matrix, Choi-Jamio lkowski state and measure of decoherence techniques were used to quantify qubit fault-tolerance. Our results showed that the introduction of above quantum error correction techniques at small phonon noise levels provided quadratic improvement of output error rates. The efficiency of 5-qubits quantum error correction algorithm in semiconductor quantum information processors was demonstrated.

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“…[35] and [36] under different assumptions. Authors conclude that the electrostatic interaction between gate(s) and qubit results in rather slow dephasing of the latter.…”

Section: Discussionmentioning

confidence: 99%

Photon-assisted conditionality for double-dot charge qubits in a single-mode cavity

Tsukanov

2012

Phys. Rev. A

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The problems of the design, control, and interaction of the single-electron double-dot charge qubits coherently coupled to the optical cavity mode are studied theoretically. A way to overcome the challenges concerned with the use of classical laser pulses for a qubit state engineering is described, replacing the lasers by a quantized photon field in a semiconductor cavity and a gate voltage. Using this strategy, a simple and efficient scheme is proposed for the creation of highly entangled multiqubit states like the nine-qubit Shor states.

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Effect of image charge on double quantum dot evolution

Cited by 11 publications

References 26 publications

Spectroscopic Characterization of the Quantum Linear-Zigzag Transition in Trapped Ions

Spectroscopic Characterization of the Quantum Linear-Zigzag Transition in Trapped Ions

Measure of decoherence in quantum error correction for solid-state quantum computing

Photon-assisted conditionality for double-dot charge qubits in a single-mode cavity

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