About
Publications
Tools
Misc

Luca [Chinese Given Name: Xi(曦), Family Name: Lu(鲁)] received his B.S. in Mathematics with a minor in Physics from Zhejiang University, China, in June 2021. He completed his Ph.D. in Applied Mathematics at the same institution in December 2025. In Oct 2023 - Dec 2023, he visited the University of Pavia and worked with Prof. Lorenzo Maccone about quantum metrology. In Aug 2024 - Aug 2025, he visited the North Carolina State University and worked with Prof. Yuan Liu about signal Processing and simulation on hybrid continuous-discrete variable (hybrid CV-DV) quantum systems.

Luca is currently crying for a postdoc or industrial research job, whichever comes first.

Timeline

Selected Preprints

Efficient Qubit Simulation of Hybrid Oscillator-Qubit Quantum Computation

Xi Lu, Bojko N. Bakalov, Yuan Liu Quantum Simulation
A framework for simulating hybrid oscillator-qubit quantum processors on qubit-only systems via position encoding, achieving polylogarithmic per-gate complexity — an exponential improvement over Fock basis encoding
arXiv GitHub Repo Slides
arXiv:2603.09233.(2026)

Selected Journal Articles

Quantum Signal Processing and Quantum Singular Value Transformation on $U(N)$

Xi Lu, Yuan Liu, Hongwei Lin Quantum Signal Processing
Generalizing Quantum Signal Processing (QSP) and Quantum Singular Value Transformation (QSVT) from $U(2)$ to $U(N)$, which enables us to encode multiple polynomials at a time and has application in parameter estimation and multi-variate QSP
arXiv Journal GitHub Repo Poster Live Demo: QSVT 101
Quantum, 10, 2048.(2026)

Mutual information bounded by fisher information

Wojciech Górecki, Xi Lu (co-first), Chiara Macchiavello, Lorenzo Maccone Quantum Metrology
A connection between local estimation (Fisher information) and global estimation (mutual information), and a global mutual information bound for quantum phase estimation in the presence of different noise sources
arXiv Journal
Physical Review Research, 7(2), L022013.(2025)

Number of bits returned by a quantum estimation

Xi Lu, Wojciech Górecki, Chiara Macchiavello, Lorenzo Maccone Quantum Metrology
Mutual information bound and optimal strategies for noisy quantum phase estimation, and some discussions on optimal entangled and adaptive strategies beyond the bound in noiseless case
arXiv Journal
Physical Review A, 110(3), 032405.(2024)

My Book List

The Feeling Good Handbook

David D. Burns Psychology Self-Help
Only a few chapters in, but already blown away by the framework of 10 cognitive distortions. Looking back at my late PhD years, I can now name the mental patterns that felt so overwhelming at the time: all-or-nothing thinking, catastrophizing, you name it. The solution Burns offers is deceptively simple: write down your thoughts. There's something powerful about seeing those spiraling thoughts on paper instead of letting them loop endlessly in your head. Wish I'd found this earlier.

Supercommunicators: How to Unlock the Secret Language of Connection

Charles Duhigg Social Psychology
The core idea is simple but powerful: every conversation is one of three types: "What's this really about?", "How do we feel?", or "Who are we?". Miscommunication happens when we're having different conversations without realizing it. Each chapter pairs a compelling story—The "Big Bang Theory" Writers' Room, The Vaccine Sceptic Doctor, Netflix's equity debates, etc. The takeaway is practical: recognize which conversation you're in, match it, and listen with genuine curiosity. TBD: full review later...

Thinking, Fast and Slow

Daniel Kahneman Psychology Behavioral Economics
Kahneman splits human thought into two systems. System 1 is fast, automatic, and emotional — it reads faces, catches balls, fills in patterns without effort. System 2 is slow, deliberate, and logical — it does math, weighs options, checks assumptions. The catch: System 2 is lazy. We default to System 1 far more than we think, and most of the book is a catalog of the errors that follow: cognitive ease, the law of small numbers, anchoring, availability bias, regression to the mean, the illusion of understanding, loss aversion, and the gap between experienced and remembered well-being. We are not as rational as we think, but we can develop a skill to mobilize our System 2 when the cost of error is high.

Research

LuTeX
Lu's Real-time HTML LaTeX, Markdown Slides and Markdown Notes Renderer
Notes
Personal Markdown Notes (now managed by AI)
Refs
Personal Reference Manager (now managed by AI)

Gamedev

[Big one coming, keep fingers crossed!]

Lulo
An abandoned puzzle game idea, don't expect too much, play gentoo rescue instead

Cubing

2D Rubik's Cube Simulator LuTimer 3BLD Scrambler

Miscellaneous

Violin Tuner Audio Spectrum QR Code