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Simulation of non-Pauli Channels

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Simulation of non-Pauli Channels. / Cope, Thomas; Hetzel, Leon; Banchi, Leonardo; Pirandola, Stefano.

In: Physical Review A, Vol. 96, 25.08.2017.

Research output: Contribution to journalArticle

Harvard

Cope, T, Hetzel, L, Banchi, L & Pirandola, S 2017, 'Simulation of non-Pauli Channels', Physical Review A, vol. 96. https://doi.org/10.1103/PhysRevA.96.022323

APA

Cope, T., Hetzel, L., Banchi, L., & Pirandola, S. (2017). Simulation of non-Pauli Channels. Physical Review A, 96. https://doi.org/10.1103/PhysRevA.96.022323

Vancouver

Cope T, Hetzel L, Banchi L, Pirandola S. Simulation of non-Pauli Channels. Physical Review A. 2017 Aug 25;96. https://doi.org/10.1103/PhysRevA.96.022323

Author

Cope, Thomas ; Hetzel, Leon ; Banchi, Leonardo ; Pirandola, Stefano. / Simulation of non-Pauli Channels. In: Physical Review A. 2017 ; Vol. 96.

Bibtex - Download

@article{40e3fdde907a4eb699c68c0dc29750ec,
title = "Simulation of non-Pauli Channels",
abstract = "We consider the simulation of a quantum channel by two parties who share a resource state and may apply local operations assisted by classical communication (LOCC). One specific type of such LOCC is standard teleportation, which is however limited to the simulation of Pauli channels. Here we show how we can easily enlarge this class by means of a minimal perturbation of the teleportation protocol, where we introduce noise in the classical communication channel between the remote parties. By adopting this noisy protocol, we provide a necessary condition for simulating a non-Pauli channel. In particular, we characterize the set of channels that are generated assuming the Choi matrix of an amplitude damping channel as a resource state. Within this set, we identify a class of Pauli-damping channels for which we bound the two-way quantum and private capacities.",
keywords = "quant-ph",
author = "Thomas Cope and Leon Hetzel and Leonardo Banchi and Stefano Pirandola",
note = "{\circledC}2017 American Physical Society.",
year = "2017",
month = "8",
day = "25",
doi = "10.1103/PhysRevA.96.022323",
language = "English",
volume = "96",
journal = "Physical Review A",
issn = "1050-2947",
publisher = "American Physical Society",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Simulation of non-Pauli Channels

AU - Cope, Thomas

AU - Hetzel, Leon

AU - Banchi, Leonardo

AU - Pirandola, Stefano

N1 - ©2017 American Physical Society.

PY - 2017/8/25

Y1 - 2017/8/25

N2 - We consider the simulation of a quantum channel by two parties who share a resource state and may apply local operations assisted by classical communication (LOCC). One specific type of such LOCC is standard teleportation, which is however limited to the simulation of Pauli channels. Here we show how we can easily enlarge this class by means of a minimal perturbation of the teleportation protocol, where we introduce noise in the classical communication channel between the remote parties. By adopting this noisy protocol, we provide a necessary condition for simulating a non-Pauli channel. In particular, we characterize the set of channels that are generated assuming the Choi matrix of an amplitude damping channel as a resource state. Within this set, we identify a class of Pauli-damping channels for which we bound the two-way quantum and private capacities.

AB - We consider the simulation of a quantum channel by two parties who share a resource state and may apply local operations assisted by classical communication (LOCC). One specific type of such LOCC is standard teleportation, which is however limited to the simulation of Pauli channels. Here we show how we can easily enlarge this class by means of a minimal perturbation of the teleportation protocol, where we introduce noise in the classical communication channel between the remote parties. By adopting this noisy protocol, we provide a necessary condition for simulating a non-Pauli channel. In particular, we characterize the set of channels that are generated assuming the Choi matrix of an amplitude damping channel as a resource state. Within this set, we identify a class of Pauli-damping channels for which we bound the two-way quantum and private capacities.

KW - quant-ph

U2 - 10.1103/PhysRevA.96.022323

DO - 10.1103/PhysRevA.96.022323

M3 - Article

VL - 96

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

ER -