Quantum Learning
Quantum learning theory investigates how quantum mechanics affects fundamental aspects of learning, such as sample complexity, efficiency, and computational power. The goal is to characterize when and how quantum systems can provide advantages over classical approaches in learning tasks.
Related Publications:
Exponential advantage in continuous-variable quantum state learning preprint arXiv:2501.17633
On the fundamental resource for exponential advantage in quantum channel learning preprint arXiv:2507.11089
On the query complexity of unitary channel certification preprint arXiv:2057.17254
NISQ Devices
We study the presence or absence of quantum advantage in NISQ devices, the boundaries of their classical simulability, and the potential applications that emerge from these regimes. Our research particularly focuses on boson sampling, IQP sampling, and quantum error correction.
Related Publications:
Classical Simulation of Boson Sampling Based on Graph Structure Phys. Rev. Lett. 128, 190501 (2022)
Spoofing cross entropy measure in boson sampling Phys. Rev. Lett. 131, 010401 (2023)
Quantum-inspired classical algorithm for molecular vibronic spectra Nat. Phys. 20, 225 (2024)
Quantum-inspired classical algorithm for graph problems by Gaussian boson sampling PRX Quantum 5, 020341 (2024)
Classical algorithm for simulating experimental Gaussian boson sampling Nat. Phys. 20, 1461 (2024)
Quantum Metrology
Quantum metrology studies how quantum resources—squeezing, entanglement, and nonclassical measurements—can boost the precision of parameter estimation beyond classical limits. By tailoring probe states, evolutions, and measurements, it aims to saturate the quantum Cramér–Rao bound and approach Heisenberg-limited scaling. Applications span interferometry, clocks, imaging, sensing of fields and forces, and distributed/networked sensing.
Related Publications:
Optimal Gaussian measurements for phase estimation in single-mode Gaussian metrology npj Quantum Inf. 5, 10 (2019)
Quantum Metrological Power of Continuous-Variable Quantum Networks Phys. Rev. Lett. 128, 180503 (2022)
All-optical Loss-tolerant Distributed Quantum Sensing arXiv:2407.13654v1 (2024) (npj Quantum Inf. accepted)
Exponential entanglement advantage in sensing correlated noise arXiv:2410.05878 (2024)