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Critical Assessment of Information Back-Flow in Measurement-Free Teleportation.
Hannah McAleese1, Mauro Paternostro1,2
1Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, UK.
Measurement-free quantum teleportation efficiency is not directly linked to non-Markovianity. The implementation details of the protocol, not information back-flow, fundamentally determine performance. This highlights the need for platform-specific assessments.
Area of Science:
- Quantum Information Science
- Quantum Communication Protocols
Background:
- Measurement-free quantum teleportation (MFQT) schemes aim to transfer quantum states without direct measurement.
- Recent claims suggest non-Markovianity of the information carrier's dynamics is crucial for MFQT performance.
Purpose of the Study:
- To critically assess the resources underpinning measurement-free quantum teleportation.
- To investigate the purported link between non-Markovianity and MFQT efficiency.
Main Methods:
- Theoretical analysis of MFQT protocols.
- Resource assessment focusing on the role of non-Markovian dynamics.
Main Results:
- Demonstrated that any correlation between teleportation efficiency and information back-flow is contingent on protocol implementation.
- Proved that a general causal link between non-Markovianity and MFQT efficiency cannot be established.
Conclusions:
- The performance of MFQT protocols depends on the specific physical platform and implementation details.
- A rigorous quantum resource theory of non-Markovianity is needed for accurate protocol assessment.
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