Standard

Error correction of the continuous-variable quantum hybrid computation on two-node cluster states : Limit of squeezing. / Korolev, S. B.; Golubeva, T. Yu.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 441, 128149, 29.07.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Korolev, SB & Golubeva, TY 2022, 'Error correction of the continuous-variable quantum hybrid computation on two-node cluster states: Limit of squeezing', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 441, 128149. https://doi.org/10.1016/j.physleta.2022.128149

APA

Korolev, S. B., & Golubeva, T. Y. (2022). Error correction of the continuous-variable quantum hybrid computation on two-node cluster states: Limit of squeezing. Physics Letters, Section A: General, Atomic and Solid State Physics, 441, [128149]. https://doi.org/10.1016/j.physleta.2022.128149

Vancouver

Korolev SB, Golubeva TY. Error correction of the continuous-variable quantum hybrid computation on two-node cluster states: Limit of squeezing. Physics Letters, Section A: General, Atomic and Solid State Physics. 2022 Jul 29;441. 128149. https://doi.org/10.1016/j.physleta.2022.128149

Author

Korolev, S. B. ; Golubeva, T. Yu. / Error correction of the continuous-variable quantum hybrid computation on two-node cluster states : Limit of squeezing. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2022 ; Vol. 441.

BibTeX

@article{4b52a469af9343ef88a3c3daf136641d,
title = "Error correction of the continuous-variable quantum hybrid computation on two-node cluster states: Limit of squeezing",
abstract = "In this paper, we investigate the error correction of universal Gaussian transformations obtained in the process of continuous-variable quantum computations. We have tried to bring our theoretical studies closer to the actual picture in the experiment. When investigating the error correction procedure, we have considered that both the resource GKP state itself and the entanglement transformation are imperfect. In reality, the GKP state has a finite width associated with the finite degree of squeezing, and the entanglement transformation is performed with error. We have considered a hybrid scheme to implement the universal Gaussian transformations. In this scheme, the transformations are realized through computations on the cluster state, supplemented by linear optical operation. This scheme gives the smallest error in the implementation of universal Gaussian transformations. The use of such a scheme made it possible to reduce the oscillator squeezing threshold required for the implementing of fault-tolerant quantum computation schemes close to reality to -19.25 dB.",
keywords = "Fault-tolerant quantum computation, Imperfect GKP state, Squeezing threshold, Universal Gaussian transformations",
author = "Korolev, {S. B.} and Golubeva, {T. Yu}",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2022",
month = jul,
day = "29",
doi = "10.1016/j.physleta.2022.128149",
language = "English",
volume = "441",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Error correction of the continuous-variable quantum hybrid computation on two-node cluster states

T2 - Limit of squeezing

AU - Korolev, S. B.

AU - Golubeva, T. Yu

N1 - Publisher Copyright: © 2022 Elsevier B.V.

PY - 2022/7/29

Y1 - 2022/7/29

N2 - In this paper, we investigate the error correction of universal Gaussian transformations obtained in the process of continuous-variable quantum computations. We have tried to bring our theoretical studies closer to the actual picture in the experiment. When investigating the error correction procedure, we have considered that both the resource GKP state itself and the entanglement transformation are imperfect. In reality, the GKP state has a finite width associated with the finite degree of squeezing, and the entanglement transformation is performed with error. We have considered a hybrid scheme to implement the universal Gaussian transformations. In this scheme, the transformations are realized through computations on the cluster state, supplemented by linear optical operation. This scheme gives the smallest error in the implementation of universal Gaussian transformations. The use of such a scheme made it possible to reduce the oscillator squeezing threshold required for the implementing of fault-tolerant quantum computation schemes close to reality to -19.25 dB.

AB - In this paper, we investigate the error correction of universal Gaussian transformations obtained in the process of continuous-variable quantum computations. We have tried to bring our theoretical studies closer to the actual picture in the experiment. When investigating the error correction procedure, we have considered that both the resource GKP state itself and the entanglement transformation are imperfect. In reality, the GKP state has a finite width associated with the finite degree of squeezing, and the entanglement transformation is performed with error. We have considered a hybrid scheme to implement the universal Gaussian transformations. In this scheme, the transformations are realized through computations on the cluster state, supplemented by linear optical operation. This scheme gives the smallest error in the implementation of universal Gaussian transformations. The use of such a scheme made it possible to reduce the oscillator squeezing threshold required for the implementing of fault-tolerant quantum computation schemes close to reality to -19.25 dB.

KW - Fault-tolerant quantum computation

KW - Imperfect GKP state

KW - Squeezing threshold

KW - Universal Gaussian transformations

UR - http://www.scopus.com/inward/record.url?scp=85129037486&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2022.128149

DO - 10.1016/j.physleta.2022.128149

M3 - Article

AN - SCOPUS:85129037486

VL - 441

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

M1 - 128149

ER -

ID: 96950593