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A class of Symmetric controlled quantum operations

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A class of Symmetric controlled quantum operations. / Steuernagel, O.; Huelga, S.F.

In: Journal of Physics A, Vol. 34, No. 35, 2001, p. 7057-7066.

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Steuernagel, O. ; Huelga, S.F. / A class of Symmetric controlled quantum operations. In: Journal of Physics A. 2001 ; Vol. 34, No. 35. pp. 7057-7066.

Bibtex

@article{ba6e3ee0f62c472a803ae89733f97786,
title = "A class of Symmetric controlled quantum operations",
abstract = "Certain quantum gates, such as the controlled-NOT gate, are symmetric in terms of the operation of the control system upon the target system and vice versa. However, no operational criteria yet exist for establishing whether or not a given quantum gate is symmetrical in this sense. We consider a restricted, yet broad, class of two-party controlled gate operations for which the gate transforms a reference state of the target into one of an orthogonal set of states. We show that for this class of gates it is possible to establish a simple necessary and sufficient condition for the gate operation to be symmetric.",
author = "O. Steuernagel and S.F. Huelga",
note = "Original article can be found at: http://www.iop.org/EJ/journal/1751-8121--Copyright Institute of Physics and IOP Publishing",
year = "2001",
doi = "10.1088/0305-4470/34/35/330",
language = "English",
volume = "34",
pages = "7057--7066",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "35",

}

RIS

TY - JOUR

T1 - A class of Symmetric controlled quantum operations

AU - Steuernagel, O.

AU - Huelga, S.F.

N1 - Original article can be found at: http://www.iop.org/EJ/journal/1751-8121--Copyright Institute of Physics and IOP Publishing

PY - 2001

Y1 - 2001

N2 - Certain quantum gates, such as the controlled-NOT gate, are symmetric in terms of the operation of the control system upon the target system and vice versa. However, no operational criteria yet exist for establishing whether or not a given quantum gate is symmetrical in this sense. We consider a restricted, yet broad, class of two-party controlled gate operations for which the gate transforms a reference state of the target into one of an orthogonal set of states. We show that for this class of gates it is possible to establish a simple necessary and sufficient condition for the gate operation to be symmetric.

AB - Certain quantum gates, such as the controlled-NOT gate, are symmetric in terms of the operation of the control system upon the target system and vice versa. However, no operational criteria yet exist for establishing whether or not a given quantum gate is symmetrical in this sense. We consider a restricted, yet broad, class of two-party controlled gate operations for which the gate transforms a reference state of the target into one of an orthogonal set of states. We show that for this class of gates it is possible to establish a simple necessary and sufficient condition for the gate operation to be symmetric.

U2 - 10.1088/0305-4470/34/35/330

DO - 10.1088/0305-4470/34/35/330

M3 - Article

VL - 34

SP - 7057

EP - 7066

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 35

ER -