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Composite Discordant States and Quantum Darwinism
Eoghan Ryan1, Mauro Paternostro1
1Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, UK.
Entropy (Basel, Switzerland)
|November 11, 2022
Summary
This study explores information proliferation in complex quantum states. Mediated redundancy in two-qubit systems can surprisingly exceed fragment channel capacity, offering new insights into the quantum-to-classical transition.
Area of Science:
- Quantum Information Theory
- Quantum Foundations
- Quantum Many-Body Systems
Background:
- Quantum Darwinism explains the quantum-to-classical transition via information redundancy.
- Strong Quantum Darwinism and Spectrum Broadcast Structures refine this concept.
- Information proliferation in complex states remains an open area of research.
Purpose of the Study:
- To investigate information proliferation in a two-qubit system with initial quantum correlations (Quantum Discord).
- To analyze mediated redundancy, focusing on information about non-interacting subsystems reaching the environment.
- To explore how dephasing-like interactions affect information proliferation and channel capacity.
Main Methods:
- Modeling a two-qubit system with initial Quantum Discord.
- Simulating dephasing-like interactions with an observing environment.
- Quantifying mediated redundancy and channel capacity of subsystems.
Main Results:
- Demonstrated information proliferation from non-interacting subsystems to the environment.
- Observed that mediated redundancy can exceed the channel capacity of individual fragments in certain scenarios.
- Showcased the impact of dephasing-like interactions on information flow.
Conclusions:
- The study provides a deeper understanding of information proliferation mechanisms in multipartite quantum systems.
- Findings suggest that complex initial correlations can lead to non-intuitive information dynamics.
- The research opens avenues for exploring quantum-to-classical transitions in more intricate quantum states.
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