Utility of noiseless linear amplification and attenuation in single-rail discrete-variable quantum communications

Fuente: arXiv
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Autores principales: Erkilic, Ozlem, Das, Aritra, Baiju, Angela A., Zaunders, Nicholas, Shajilal, Biveen, Ralph, Timothy C.
Formato: Preprint
Publicado: 2025
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author Erkilic, Ozlem
Das, Aritra
Baiju, Angela A.
Zaunders, Nicholas
Shajilal, Biveen
Ralph, Timothy C.
author_facet Erkilic, Ozlem
Das, Aritra
Baiju, Angela A.
Zaunders, Nicholas
Shajilal, Biveen
Ralph, Timothy C.
contents Quantum communication offers many applications, with teleportation and superdense coding being two of the most fundamental. In these protocols, pre-shared entanglement enables either the faithful transfer of quantum states or the transmission of more information than is possible classically. However, channel losses degrade the shared states, reducing teleportation fidelity and the information advantage in superdense coding. Here, we investigate how to mitigate these effects by optimising the measurements applied by the communicating parties. We formulate the problem as an optimisation over general positive operator-valued measurements (POVMs) and compare the results with physically realisable noiseless attenuation (NA) and noiseless linear amplification (NLA) circuits. For teleportation, NLA/NA and optimised POVMs improve the average fidelity by up to 78% while maintaining feasible success probabilities. For superdense coding, they enhance the quantum advantage over the classical channel capacity by more than 100% in some regimes and shift the break-even point, thereby extending the tolerable range of losses. Notably, the optimal POVMs effectively reduce to NA or NLA, showing that simple, experimentally accessible operations already capture the essential performance gains.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08255
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Utility of noiseless linear amplification and attenuation in single-rail discrete-variable quantum communications
Erkilic, Ozlem
Das, Aritra
Baiju, Angela A.
Zaunders, Nicholas
Shajilal, Biveen
Ralph, Timothy C.
Quantum Physics
Quantum communication offers many applications, with teleportation and superdense coding being two of the most fundamental. In these protocols, pre-shared entanglement enables either the faithful transfer of quantum states or the transmission of more information than is possible classically. However, channel losses degrade the shared states, reducing teleportation fidelity and the information advantage in superdense coding. Here, we investigate how to mitigate these effects by optimising the measurements applied by the communicating parties. We formulate the problem as an optimisation over general positive operator-valued measurements (POVMs) and compare the results with physically realisable noiseless attenuation (NA) and noiseless linear amplification (NLA) circuits. For teleportation, NLA/NA and optimised POVMs improve the average fidelity by up to 78% while maintaining feasible success probabilities. For superdense coding, they enhance the quantum advantage over the classical channel capacity by more than 100% in some regimes and shift the break-even point, thereby extending the tolerable range of losses. Notably, the optimal POVMs effectively reduce to NA or NLA, showing that simple, experimentally accessible operations already capture the essential performance gains.
title Utility of noiseless linear amplification and attenuation in single-rail discrete-variable quantum communications
topic Quantum Physics
url https://arxiv.org/abs/2512.08255