Abstract
To realize the Quantum Internet, quantum communications require pre-shared entanglement among quantum nodes. However, both the generation and the distribution of the maximally-entangled quantum states are inherently contaminated by quantum decoherence. Conventionally, the quantum decoherence is mitigated by performing the consecutive steps of quantum entanglement distillation followed by quantum teleportation. However, this conventional approach imposes a long delay. To circumvent this impediment, we propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement, which eliminates the sequential steps imposing delay in the standard approach. More precisely, our proposed scheme can be viewed as a direct quantum communication scheme capable of improving the quantum bit error ratio (QBER) of the logical qubits despite relying on realistic noisy pre-shared entanglement. Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput compared to the existing state-of-the-art quantum communication schemes, despite requiring fewer quantum gates.
Highlights
Enabling quantum communications among quantum devices within the Quantum Internet [?], [?], [?] will lead to various groundbreaking applications
We summarize all the physical resources required for performing the error correction schemes to achieve reliable quantum communication in the presence of noisy pre-shared EPR pairs in Table ??
Achieving a reliable quantum communication tends to rely on the consecutive steps of quantum entanglement distillation (QED) followed by quantum teleportation (QED+QT)
Summary
Enabling quantum communications among quantum devices within the Quantum Internet [?], [?], [?] will lead to various groundbreaking applications. Our proposed scheme can be viewed as a single-step direct quantum communication scheme, which exploits the quantum noise experienced by the pre-shared EPR pairs for improving the reliability of quantum communications by encoding the logical qubits directly with the aid of noisy pre-shared EPR pairs As it will become more evident later in this treatise, our proposal may be deemed philosophically reminiscent of training-based equalization techniques in classical communications, which rely on pilot sequences for estimating the channel and eliminating its impairments. We eliminate the necessity of performing stabilizer measurements on both qubits of the pre-shared EPR pairs for the sake of reducing: (i) the number of quantum gates required to achieve reliable quantum communications and (ii) the uses of the considered quantum channel. We conclude in Section ?? by discussing some future research directions
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