Standard

Non-commutative graphs and quantum error correction for a two-mode quantum oscillator. / Amosov, G. G.; Mokeev, A. S.; Pechen, A. N.

In: Quantum Information Processing, Vol. 19, No. 3, 95, 01.02.2020.

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

Harvard

Amosov, GG, Mokeev, AS & Pechen, AN 2020, 'Non-commutative graphs and quantum error correction for a two-mode quantum oscillator', Quantum Information Processing, vol. 19, no. 3, 95. https://doi.org/10.1007/s11128-019-2554-5

APA

Amosov, G. G., Mokeev, A. S., & Pechen, A. N. (2020). Non-commutative graphs and quantum error correction for a two-mode quantum oscillator. Quantum Information Processing, 19(3), [95]. https://doi.org/10.1007/s11128-019-2554-5

Vancouver

Amosov GG, Mokeev AS, Pechen AN. Non-commutative graphs and quantum error correction for a two-mode quantum oscillator. Quantum Information Processing. 2020 Feb 1;19(3). 95. https://doi.org/10.1007/s11128-019-2554-5

Author

Amosov, G. G. ; Mokeev, A. S. ; Pechen, A. N. / Non-commutative graphs and quantum error correction for a two-mode quantum oscillator. In: Quantum Information Processing. 2020 ; Vol. 19, No. 3.

BibTeX

@article{efde45064c1049359d95c597058f66c5,
title = "Non-commutative graphs and quantum error correction for a two-mode quantum oscillator",
abstract = "An important topic in quantum information is the theory of error correction codes. Practical situations often involve quantum systems with states in an infinite-dimensional Hilbert space, for example, coherent states. Motivated by these practical needs, we develop the theory of non-commutative graphs, which is a tool to analyze error correction codes, to infinite-dimensional Hilbert spaces. As an explicit example, a family of non-commutative graphs associated with the Schrodinger equation describing the dynamics of a two-mode quantum oscillator is constructed and maximal quantum anticliques for these graphs are found.",
keywords = "Quantum error correction, Non-commutative graphs, Quantum anticliques, Quantum oscillator, Two-mode field, Coherent states",
author = "Amosov, {G. G.} and Mokeev, {A. S.} and Pechen, {A. N.}",
year = "2020",
month = feb,
day = "1",
doi = "10.1007/s11128-019-2554-5",
language = "Английский",
volume = "19",
journal = "Quantum Information Processing",
issn = "1570-0755",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Non-commutative graphs and quantum error correction for a two-mode quantum oscillator

AU - Amosov, G. G.

AU - Mokeev, A. S.

AU - Pechen, A. N.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - An important topic in quantum information is the theory of error correction codes. Practical situations often involve quantum systems with states in an infinite-dimensional Hilbert space, for example, coherent states. Motivated by these practical needs, we develop the theory of non-commutative graphs, which is a tool to analyze error correction codes, to infinite-dimensional Hilbert spaces. As an explicit example, a family of non-commutative graphs associated with the Schrodinger equation describing the dynamics of a two-mode quantum oscillator is constructed and maximal quantum anticliques for these graphs are found.

AB - An important topic in quantum information is the theory of error correction codes. Practical situations often involve quantum systems with states in an infinite-dimensional Hilbert space, for example, coherent states. Motivated by these practical needs, we develop the theory of non-commutative graphs, which is a tool to analyze error correction codes, to infinite-dimensional Hilbert spaces. As an explicit example, a family of non-commutative graphs associated with the Schrodinger equation describing the dynamics of a two-mode quantum oscillator is constructed and maximal quantum anticliques for these graphs are found.

KW - Quantum error correction

KW - Non-commutative graphs

KW - Quantum anticliques

KW - Quantum oscillator

KW - Two-mode field

KW - Coherent states

U2 - 10.1007/s11128-019-2554-5

DO - 10.1007/s11128-019-2554-5

M3 - статья

VL - 19

JO - Quantum Information Processing

JF - Quantum Information Processing

SN - 1570-0755

IS - 3

M1 - 95

ER -

ID: 73209411