Deterministic Single-Photon Adder and Subtractor

• URL: http://arxiv.org/abs/2502.11376v1
• Date: Mon, 17 Feb 2025 02:45:22 GMT
• Title: Deterministic Single-Photon Adder and Subtractor
• Authors: Si-Qi Jiang, Hai-Jun Xing, Li-Ping Yang,
• Abstract summary: Single-photon addition and subtraction are fundamental operations in quantum information processing.<n>Traditionally, the behavior of a single-photon adder (SPA) and single-photon subtractor (SPS) has been theoretically described using creation and annihilation operators, respectively.<n>We develop a theoretical framework based on Kraus operators, applicable to both coherent and incoherent SPAs and SPSs.
• Score: 1.6658912537684454
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Single-photon addition and subtraction are fundamental operations in quantum information processing. Traditionally, the behavior of a single-photon adder (SPA) and single-photon subtractor (SPS) has been theoretically described using creation and annihilation operators, respectively. However, we demonstrate that this ladder-operator-based description contains significant theoretical flaws. To address these issues, we develop a theoretical framework based on Kraus operators, applicable to both coherent and incoherent SPAs and SPSs. Furthermore, we propose a method for realizing deterministic SPAs and SPSs of a cavity mode using three-level atoms. We analyze the effects of these operations on various quantum states. Additionally, we demonstrate that the use of a control pulse could enhance the performance of SPAs and SPSs, effectively preserving the quantum coherence of the resulting photon state.

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