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TG1.1: Quantum computing and interdisciplinary applications

I. Coordinator:
Hsi-Sheng Goan 管希聖 (NTU)
goan [at] phys.ntu.edu.tw

II. Core Members:
Center Scientists
Hsi-Sheng Goan 管希聖 (NTU)
Hao-Chung Cheng 鄭皓中 (NTU)
Chiao-Hsuan Wang 王喬萱 (NTU)

Core members
Yuan-Chung Cheng (NTU)
Jie-Hong Jiang (NTU)
Yao-Hsin Chou (NCNU)
Jyh-Pin Chou (NCUE)

Postdocs
Renata Wong 黃淇

III. Research Themes:
(1) Quantum circuit synthesis and compilations
(2) Quantum error correction and mitigation
(3) Quantum dynamics and simulations
(4) Quantum Computational chemistry
(5) Quantum machine learning
(6) Quantum sensing and metrology
(7) Quantum finance and optimization problems
(8) Quantum bioscience
(9) Quantum communication theory and protocols

IV. Activities
Regular weekly seminar
Non-regular seminar
Summer or winter school/ training courses
Local workshop or mini-workshop
Students and young researchers events
International conference: QIP 2024 (co-organizing)

V. Expected achievements:
(1) Quantum circuit synthesis and compilations
- Efficient and automatic circuit synthesis for important quantum algorithms
- A scalable qubit mapping method and scalable Quantum circuit verification
- Constructing high-fidelity quantum gates in the presence of realistic noise and decoherence
- Decomposing a unitary gate of small-angle rotation with a set of algebraically representable quantum gates

(2)  Quantum error correction and mitigation
- Autonomous quantum error correction scheme through engineered interaction with dissipative environment.
- Noise-resilient quantum operations compatible with quantum error correction codes.
- Efficient hardware implementations of the surface code or other existing QEC codes
- Hardware implementations of QEC codes towards fault-tolerant quantum computation
- Runtime verification and error detection of quantum circuits

(3) Quantum dynamics and simulations
- Improving quantum circuit simulation algorithms via Schrödinger's state-vector method and Feynman's path method
- Scalable quantum circuit simulators
- Quantum simulations of dynamics of complex systems for fundamental physical research
- Quantum simulations of molecular energy structure of new materials

 (4) Quantum computational chemistry
- Quantum machine-learning approaches for molecular design in organic solar cells and lithium batteries
- Quantum simulations for chemical research
- Quantum simulation of chemical reaction and new drug design
- Accurate prediction of vibrational frequencies of small molecules and more complex systems
- Computational chemistry for molecular design and rapid computer-aided discovery of new molecules

(5) Quantum machine learning
- Applications quantum machine learning algorithms that outperform their classical counterparts
- Machine learning for simulating and predicting properties and phenomena of quantum systems
- Understanding the theoretical foundations of quantum machine learning and artificial intelligence
- Computational resource (e.g., number of qubits and depths) for training quantum machine learning models
- Quantum machine learning algorithm with provable performance guarantees
- Efficient data loading and encoding methods for quantum machine learning
- New architectures for quantum neural networks
 
(6)   Quantum sensing and metrology
-  Quantum statistical model characterization for quantum state/channel estimation problem
- Achievability and optimality for multiparameter quantum channel estimation problem
- Control/Error-Correcting enhanced quantum metrology

(7) Quantum finance and optimization problems
- Hybrid quantum-inspired and quantum optimization techniques to speed-up search efficiency for the best portfolio and the best trading timing strategy in a large solution space
- Novel assessment indicator to evaluate portfolio performance
- Effective mechanisms to construct the Pareto optimal portfolio in return and risk
- Efficacy of strategies and innovative indicators to assist investors in decision-making and trading time

(8)   Quantum bioscience
- Efficient and accurate simulations of quantum dynamics in biological systems
- Quantifying various quantum effects in natural photosynthesis
- Characterization of energy transport efficiency of biomolecule.

(9)  Quantum communication theory and protocols
- Strategies to interconnect hybrid quantum systems toward quantum communication networks
- State conversion protocols between quantum memories and quantum processors
- Faithful and efficient data storage and retrieval
- Quantum oblivious transfer and quantum secret sharing with weighted and threshold protocols
- Coding for reliable transmission through Bosonic quantum channels
- Quantum decoupling approach to achieving quantum capacity