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

**Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate.** / Zinatullin, E. R. ; Korolev, S. B. ; Manukhova, A. D. ; Golubeva, T. Yu. .

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

Zinatullin, ER, Korolev, SB, Manukhova, AD & Golubeva, TY 2022, 'Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate', *Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 106, no. 3, 032414.

Zinatullin, E. R., Korolev, S. B., Manukhova, A. D., & Golubeva, T. Y. (2022). Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate. *Physical Review A - Atomic, Molecular, and Optical Physics*, *106*(3), [032414].

Zinatullin ER, Korolev SB, Manukhova AD, Golubeva TY. Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate. Physical Review A - Atomic, Molecular, and Optical Physics. 2022 Sep 12;106(3). 032414.

@article{029521175ff74ec78ce29ab02a228474,

title = "Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate",

abstract = "In this paper we propose two strategies for decreasing the error of arbitrary single-mode Gaussian transformations implemented using one-way quantum computation on a four-node linear cluster state. We show that it is possible to minimize the error of the arbitrary single-mode Gaussian transformation by a proper choice of the weight coefficients of the cluster state. We modify the computation scheme by adding a non-Gaussian state obtained using a cubic phase gate as one of the nodes of the cluster. This further decreases the computation error. We evaluate the efficiencies of the proposed optimization schemes comparing the probabilities of the error correction of the quantum computations with and without optimizations. We show that for some transformations, the error probability can be reduced by up to 900 times.",

author = "Zinatullin, {E. R.} and Korolev, {S. B.} and Manukhova, {A. D.} and Golubeva, {T. Yu.}",

year = "2022",

month = sep,

day = "12",

language = "English",

volume = "106",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate

AU - Zinatullin, E. R.

AU - Korolev, S. B.

AU - Manukhova, A. D.

AU - Golubeva, T. Yu.

PY - 2022/9/12

Y1 - 2022/9/12

N2 - In this paper we propose two strategies for decreasing the error of arbitrary single-mode Gaussian transformations implemented using one-way quantum computation on a four-node linear cluster state. We show that it is possible to minimize the error of the arbitrary single-mode Gaussian transformation by a proper choice of the weight coefficients of the cluster state. We modify the computation scheme by adding a non-Gaussian state obtained using a cubic phase gate as one of the nodes of the cluster. This further decreases the computation error. We evaluate the efficiencies of the proposed optimization schemes comparing the probabilities of the error correction of the quantum computations with and without optimizations. We show that for some transformations, the error probability can be reduced by up to 900 times.

AB - In this paper we propose two strategies for decreasing the error of arbitrary single-mode Gaussian transformations implemented using one-way quantum computation on a four-node linear cluster state. We show that it is possible to minimize the error of the arbitrary single-mode Gaussian transformation by a proper choice of the weight coefficients of the cluster state. We modify the computation scheme by adding a non-Gaussian state obtained using a cubic phase gate as one of the nodes of the cluster. This further decreases the computation error. We evaluate the efficiencies of the proposed optimization schemes comparing the probabilities of the error correction of the quantum computations with and without optimizations. We show that for some transformations, the error probability can be reduced by up to 900 times.

UR - https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.032414

M3 - Article

VL - 106

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 3

M1 - 032414

ER -

ID: 100319672