Periodic Reporting for period 1 - QUANTWIST (Enhanced quantum resilience through twists)
Reporting period: 2023-03-01 to 2025-08-31
Quantum technology will revolutionize information transmission, processing, and sensing with unprecedented potential for science, economy, and the society as a whole. Yet, the strong sensitivity of quantum systems to unavoidable environmental noise impedes quantum technological breakthroughs. Here, we propose to twist coupled elemental quantum systems such that they form a global, robust quantum state that is resilient against environmental perturbations. For instance, in magnetic spin chains, fixing the magnetization at one end while rotating the magnetization at the other end can result in stable quantum helices. Such quantum twists cannot easily be unwound: They exhibit topological protection. We want to explore the full potential of this concept and extend it to higher-dimensional twists including vortices and skyrmions. The main objectives of this project are to (1) theoretically describe quantum twists in chains and arrays of atoms; (2) identify concrete realizations in cold atoms and solid state systems; (3) supply a general theory for quantum twists and connect it to topological models in high-energy physics; (4) designing and implementing an on-top error-reduction scheme for quantum information processing. Quantum twists can serve as a topological source of entanglement, quantum energy storage, and establish an independent and versatile noise-protection mechanism for future quantum devices.
The project advances the theoretical understanding of quantum spin systems, exploring quantum twists, skyrmions, and their technological applications. Overall, these achievements highlight promising directions in understanding quantum spin systems, both theoretically and through practical applications, such as exploiting machine learning for computational exploration and advancing topological quantum computing concepts. Key scientific achievements include:
1. Quantum Twists and Skyrmions: The project revealed a novel understanding of quantum spin helices, suggesting a link between winding quantum helices and multiple-pi superconducting Josephson effects and parafermionic statistics, which are neither fermionic nor bosonic particles. Additionally, the team developed theoretical models of 2D quantum skyrmions, gaining insights into their stability and dynamics.
2. Machine Learning Applications: By applying machine learning, the project tackled computational challenges in quantum systems, enabling analysis of larger quantum spin systems. This innovation is crucial for future quantum control of topological magnetic quasiparticles.
3. Topological Protection: Studies of helical spin chains under random magnetic fields demonstrated the emergence of topologically protected magnetic sectors, foundational for exploring topological effects in various dimensions.
4. Magnetism in Adatom Systems: While investigating Mn on Nb surfaces, the project uncovered new insights into nontrivial topological states, like superconducting in-gap states holds potential for realizing topological superconductors and new quantum materials.
5. Theory Development: The creation of a comprehensive theory for spin product eigenstates in XXZ Heisenberg models offers important insights into degenerate states, opening new analytical avenues for quantum spin system exploration.
1. Quantum Twists and Skyrmions: The project revealed a novel understanding of quantum spin helices, suggesting a link between winding quantum helices and multiple-pi superconducting Josephson effects and parafermionic statistics, which are neither fermionic nor bosonic particles. Additionally, the team developed theoretical models of 2D quantum skyrmions, gaining insights into their stability and dynamics.
2. Machine Learning Applications: By applying machine learning, the project tackled computational challenges in quantum systems, enabling analysis of larger quantum spin systems. This innovation is crucial for future quantum control of topological magnetic quasiparticles.
3. Topological Protection: Studies of helical spin chains under random magnetic fields demonstrated the emergence of topologically protected magnetic sectors, foundational for exploring topological effects in various dimensions.
4. Magnetism in Adatom Systems: While investigating Mn on Nb surfaces, the project uncovered new insights into nontrivial topological states, like superconducting in-gap states holds potential for realizing topological superconductors and new quantum materials.
5. Theory Development: The creation of a comprehensive theory for spin product eigenstates in XXZ Heisenberg models offers important insights into degenerate states, opening new analytical avenues for quantum spin system exploration.
The project has enhanced the state of the art with promising implications for quantum spin systems and related areas. The current main achievements are:
1. Spin Product Eigenstates Theory: The development of this theory offers a framework for identifying spin product states to take over the role like 'single-particle-like' do in electronic and bosonic systems. While it presents an exciting advancement for modeling quantum systems, practical demonstrations and integration into computational tools are necessary. Collaboration and funding from computational physics stakeholders could facilitate broader adoption.
2. Machine Learning in Quantum Systems: The use of machine learning techniques to explore quantum spin systems allows for the study of larger systems, potentially enhancing our understanding. However, refining algorithms for diverse quantum contexts and developing robust software tools is crucial for realizing this potential. Partnerships with technology companies may aid in expanding applications and exploring commercialization.
3. Electronic superconducting states: The discovery of magnetic and nonmagnetic in-gap superconducting states, achieved in collaboration with QUANTWIST; suggests the potential to synthesize topological superconductors on superconducting surfaces. While this holds promise for applications in quantum computing, further research is needed to optimize the hybridization between states. Collaborating with industry may help in eventual commercialization and establishing standards after first examples of hybridized states are experimentally realized.
1. Spin Product Eigenstates Theory: The development of this theory offers a framework for identifying spin product states to take over the role like 'single-particle-like' do in electronic and bosonic systems. While it presents an exciting advancement for modeling quantum systems, practical demonstrations and integration into computational tools are necessary. Collaboration and funding from computational physics stakeholders could facilitate broader adoption.
2. Machine Learning in Quantum Systems: The use of machine learning techniques to explore quantum spin systems allows for the study of larger systems, potentially enhancing our understanding. However, refining algorithms for diverse quantum contexts and developing robust software tools is crucial for realizing this potential. Partnerships with technology companies may aid in expanding applications and exploring commercialization.
3. Electronic superconducting states: The discovery of magnetic and nonmagnetic in-gap superconducting states, achieved in collaboration with QUANTWIST; suggests the potential to synthesize topological superconductors on superconducting surfaces. While this holds promise for applications in quantum computing, further research is needed to optimize the hybridization between states. Collaborating with industry may help in eventual commercialization and establishing standards after first examples of hybridized states are experimentally realized.