تقرير
Entanglement Asymmetry in non-Abelian Anyonic Systems
| العنوان: | Entanglement Asymmetry in non-Abelian Anyonic Systems |
|---|---|
| المؤلفون: | Vidal, Nicetu Tibau, Kunte, Ved, Vilchez-Estevez, Lucia, Bera, Mohit Lal, Bera, Manabendra Nath |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Lattice High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Quantum Gases, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Lattice, High Energy Physics - Theory |
| الوصف: | Non-Abelian anyons, a promising platform for fault-tolerant topological quantum computation, adhere to the charge super-selection rule (cSSR), which imposes restrictions on physically allowed states and operations. However, the ramifications of cSSR and fusion rules in anyonic quantum information theory remain largely unexplored. In this study, we unveil that the information-theoretic characteristics of anyons diverge fundamentally from those of non-anyonic systems such as qudits, bosons, and fermions and display intricate structures. In bipartite anyonic systems, pure states may have different marginal spectra, and mixed states may contain pure marginal states. More striking is that in a pure entangled state, parties may lack equal access to entanglement. This entanglement asymmetry is manifested in quantum teleportation employing an entangled anyonic state shared between Alice and Bob, where Alice can perfectly teleport unknown quantum information to Bob, but Bob lacks this capability. These traits challenge conventional understanding, necessitating new approaches to characterize quantum information and correlations in anyons. We expect that these distinctive features will also be present in non-Abelian lattice gauge field theories. Our findings significantly advance the understanding of the information-theoretic aspects of anyons and may lead to realizations of quantum communication and cryptographic protocols where one party holds sway over the other. Comment: 5+9 pages, 1+10 figures, comments are welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.03546 |
| رقم الأكسشن: | edsarx.2406.03546 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |