4 papers
Shadow Quantum Singular Value Transformation with Shallow Quantum Circuits
Nai-Hui Chia, Hyunseong Kim, Chia-Ying Lin +1
We introduce shadow quantum singular value transformation (Shadow QSVT): given an initial state , a Hermitian matrix , a polynomial , and a set of observables $\{O…
Shadow Tomography Against Adversaries
Maryam Aliakbarpour, Vladimir Braverman, Nai-Hui Chia +4
We study single-copy shadow tomography in the adversarial robust setting, where the goal is to learn the expectation values of observables with …
Efficient Matrix Product State Learning in Logarithmic Depth
Chia-Ying Lin, Nai-Hui Chia, Shih-Han Hung
Learning the closest matrix product state (MPS) representation of a quantum state enables useful tools for quantum machine learning and analysis of complex quantum systems. In this…
U(1) dynamics in neuronal activities
Chia-Ying Lin, Ping-Han Chen, Hsiu-Hau Lin +1
Neurons convert the external stimuli into action potentials, or spikes, and encode the contained information into the biological nerve system. Despite the complexity of neurons and…