Correction: MPMCT gate decomposition method reducing T-depth quickly in proportion to the number of work qubits (Quantum Information Processing, (2023), 22, 10, (381), 10.1007/s11128-023-04142-7)

Jongheon Lee; Yousung Kang; You Seok Lee; Boheung Chung; Dooho Choi

doi:10.1007/s11128-023-04172-1

Correction: MPMCT gate decomposition method reducing T-depth quickly in proportion to the number of work qubits (Quantum Information Processing, (2023), 22, 10, (381), 10.1007/s11128-023-04142-7)

Jongheon Lee
, Yousung Kang
, You Seok Lee
, Boheung Chung
, Dooho Choi^*

^*Corresponding author for this work

Research output: Contribution to journal › Comment/debate › peer-review

Abstract

The original version of this article unfortunately contained error in mathematical expression mentioned in fourth step “Further reduction step” listed under Section 3.3. The incorrect sentence “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (2 m − 3) × 2 to 2 m − 3 × 2 by canceling some Toffoli gates.” should read as “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (4m − 8) × 2 to (2m − 3) × 2 by canceling some Toffoli gates.” The original article has been corrected.

Original language	English
Article number	421
Journal	Quantum Information Processing
Volume	22
Issue number	12
DOIs	https://doi.org/10.1007/s11128-023-04172-1
Publication status	Published - 2023 Dec
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023, The Author(s).

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Statistical and Nonlinear Physics
Theoretical Computer Science
Signal Processing
Modelling and Simulation
Electrical and Electronic Engineering

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10.1007/s11128-023-04172-1

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Correction: MPMCT gate decomposition method reducing T-depth quickly in proportion to the number of work qubits (Quantum Information Processing, (2023), 22, 10, (381), 10.1007/s11128-023-04142-7). / Lee, Jongheon; Kang, Yousung; Lee, You Seok et al.
In: Quantum Information Processing, Vol. 22, No. 12, 421, 12.2023.

Research output: Contribution to journal › Comment/debate › peer-review

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title = "Correction: MPMCT gate decomposition method reducing T-depth quickly in proportion to the number of work qubits (Quantum Information Processing, (2023), 22, 10, (381), 10.1007/s11128-023-04142-7)",

abstract = "The original version of this article unfortunately contained error in mathematical expression mentioned in fourth step “Further reduction step” listed under Section 3.3. The incorrect sentence “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (2 m − 3) × 2 to 2 m − 3 × 2 by canceling some Toffoli gates.” should read as “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (4m − 8) × 2 to (2m − 3) × 2 by canceling some Toffoli gates.” The original article has been corrected.",

author = "Jongheon Lee and Yousung Kang and Lee, \{You Seok\} and Boheung Chung and Dooho Choi",

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doi = "10.1007/s11128-023-04172-1",

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AU - Lee, Jongheon

AU - Kang, Yousung

AU - Lee, You Seok

AU - Chung, Boheung

AU - Choi, Dooho

PY - 2023/12

Y1 - 2023/12

N2 - The original version of this article unfortunately contained error in mathematical expression mentioned in fourth step “Further reduction step” listed under Section 3.3. The incorrect sentence “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (2 m − 3) × 2 to 2 m − 3 × 2 by canceling some Toffoli gates.” should read as “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (4m − 8) × 2 to (2m − 3) × 2 by canceling some Toffoli gates.” The original article has been corrected.

AB - The original version of this article unfortunately contained error in mathematical expression mentioned in fourth step “Further reduction step” listed under Section 3.3. The incorrect sentence “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (2 m − 3) × 2 to 2 m − 3 × 2 by canceling some Toffoli gates.” should read as “Also, if the DBQs are large enough that some do not need to be used in other stages, Toffoli-depth for these two steps might be lowered from (4m − 8) × 2 to (2m − 3) × 2 by canceling some Toffoli gates.” The original article has been corrected.

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DO - 10.1007/s11128-023-04172-1

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ER -

Correction: MPMCT gate decomposition method reducing T-depth quickly in proportion to the number of work qubits (Quantum Information Processing, (2023), 22, 10, (381), 10.1007/s11128-023-04142-7)

Abstract

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