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This paper analyzes how photon addition and subtraction on a two-mode squeezed Fock state affect fidelity in Braunstein-Kimble teleportation. It finds that photon subtraction outperforms addition, especially once success probabilities are factored in, with symmetric (1,1) subtraction offering the best fidelity-probability trade-off. For quantum communication researchers, the result is a useful theoretical benchmark for non-Gaussian resources, though it still needs experimental validation under realistic loss and noise.
Source coveringarXiv

Quantum teleportation using photon-added two-mode squeezed Fock states: A comparison with photon-subtracted counterparts

arXiv2 min read

arXiv:2611.02588v1 Announce Type: new Abstract: Quantum state engineering frequently employs non-Gaussian operations, particularly photon addition and subtraction, to tailor and improve the nonclassical characteristics of quantum states. We investigate how photon addition to a two-mode squeezed Fock state (TMSFS) influences its performance in the Braunstein-Kimble quantum teleportation protocol. We obtain the Wigner characteristic function of the photon-added TMSFS (PA-TMSFS) and evaluate the corresponding teleportation fidelities for both Gaussian and non-Gaussian input states. We further compare the teleportation performance of PA-TMSFS with that of its photon-subtracted counterpart by accessing their fidelity enhancements over the parent TMSFS and considering the probabilistic nature of both the operations. Our results demonstrate that photon subtraction provides superior teleportation performance compared with photon addition, with this advantage becoming more pronounced when the success probabilities of the corresponding non-Gaussian operations are considered. In particular, the symmetric $(1,1)$ photon subtraction yields the optimal trade-off between teleportation fidelity and success probability among the configurations investigated. These findings highlight that photon subtraction retains its advantage even when the underlying entangled resource is already non-Gaussian.

Abstract:Quantum state engineering frequently employs non-Gaussian operations, particularly photon addition and subtraction, to tailor and improve the nonclassical characteristics of quantum states. We investigate how photon addition to a two-mode squeezed Fock state (TMSFS) influences its performance in the Braunstein-Kimble quantum teleportation protocol. We obtain the Wigner characteristic function of the photon-added TMSFS (PA-TMSFS) and evaluate the corresponding teleportation fidelities for both Gaussian and non-Gaussian input states. We further compare the teleportation performance of PA-TMSFS with that of its photon-subtracted counterpart by accessing their fidelity enhancements over the parent TMSFS and considering the probabilistic nature of both the operations. Our results demonstrate that photon subtraction provides superior teleportation performance compared with photon addition, with this advantage becoming more pronounced when the success probabilities of the corresponding non-Gaussian operations are considered. In particular, the symmetric $(1,1)$ photon subtraction yields the optimal trade-off between teleportation fidelity and success probability among the configurations investigated. These findings highlight that photon subtraction retains its advantage even when the underlying entangled resource is already non-Gaussian.

arXiv:2611.02588 [quant-ph]

(or arXiv:2611.02588v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2611.02588 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 260 words