145 citations · 505 across the 21 of their papers we have counts for
21 papers
Quantum simulation of Maxwell's equations via Schrödingersation
Shi Jin, Nana Liu, Chuwen Ma
We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schrödingersation approach, which transforms any linear PD…
Analog quantum simulation of partial differential equations
Shi Jin, Nana Liu
Quantum simulators were originally proposed for simulating one partial differential equation (PDE) in particular - Schrodinger's equation. Can quantum simulators also efficiently s…
Quantum Simulation for Partial Differential Equations with Physical Boundary or Interface Conditions
Shi Jin, Xiantao Li, Nana Liu +1
This paper explores the feasibility of quantum simulation for partial differential equations (PDEs) with physical boundary or interface conditions. Semi-discretisation of such prob…
Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation
Shi Jin, Nana Liu
Quantum simulation is known to be capable of simulating certain dynamical systems in continuous time -- Schrodinger's equations being the most direct and well-known -- more efficie…
Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions
Shi Jin, Nana Liu, Xiantao Li +1
Quantum dynamics, typically expressed in the form of a time-dependent Schrödinger equation with a Hermitian Hamiltonian, is a natural application for quantum computing. However, wh…
Efficient Learning of Continuous-Variable Quantum States
Ya-Dong Wu, Yan Zhu, Giulio Chiribella +1
The characterization of continuous-variable quantum states is crucial for applications in quantum communication, sensing, simulation and computing. However, a full characterization…
Quantum algorithms for uncertainty quantification: application to partial differential equations
Francois Golse, Shi Jin, Nana Liu
Most problems in uncertainty quantification, despite its ubiquitousness in scientific computing, applied mathematics and data science, remain formidable on a classical computer. Fo…
Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations
Shi Jin, Nana Liu, Yue Yu
We construct quantum algorithms to compute the solution and/or physical observables of nonlinear ordinary differential equations (ODEs) and nonlinear Hamilton-Jacobi equations (HJE…
Quantum algorithms for computing observables of nonlinear partial differential equations
Shi Jin, Nana Liu
We construct quantum algorithms to compute physical observables of nonlinear PDEs with M initial data. Based on an exact mapping between nonlinear and linear PDEs using the level s…
On quantum algorithms for the Schrödinger equation in the semi-classical regime
Shi Jin, Xiantao Li, Nana Liu
Solving the time-dependent Schrödinger equation is an important application area for quantum algorithms. We consider Schrödinger's equation in the semi-classical regime. Here the s…
Efficient verification of continuous-variable quantum states and devices without assuming identical and independent operations
Ya-Dong Wu, Ge Bai, Giulio Chiribella +1
Continuous-variable quantum information, encoded into infinite-dimensional quantum systems, is a promising platform for the realization of many quantum information protocols, inclu…
Optimal Provable Robustness of Quantum Classification via Quantum Hypothesis Testing
Maurice Weber, Nana Liu, Bo Li +2
Quantum machine learning models have the potential to offer speedups and better predictive accuracy compared to their classical counterparts. However, these quantum algorithms, lik…
Vulnerability of quantum classification to adversarial perturbations
Nana Liu, Peter Wittek
High-dimensional quantum systems are vital for quantum technologies and are essential in demonstrating practical quantum advantage in quantum computing, simulation and sensing. Sin…
Tangible reduction in learning sample complexity with large classical samples and small quantum system
Wooyeong Song, Marcin Wieśniak, Nana Liu +4
Quantum computation requires large classical datasets to be embedded into quantum states in order to exploit quantum parallelism. However, this embedding requires considerable reso…
Client-friendly continuous-variable blind and verifiable quantum computing
Nana Liu, Tommaso F. Demarie, Si-Hui Tan +2
We present a verifiable and blind protocol for assisted universal quantum computing on continuous-variable (CV) platforms. This protocol is highly experimentally-friendly to the cl…
Quantum machine learning for quantum anomaly detection
Nana Liu, Patrick Rebentrost
Anomaly detection is used for identifying data that deviate from `normal' data patterns. Its usage on classical data finds diverse applications in many important areas like fraud d…
Non-destructively probing the thermodynamics of quantum systems with qumodes
Thomas J. Elliott, Mile Gu, Jayne Thompson +1
Quantum systems are by their very nature fragile. The fundamental backaction on a state due to quantum measurement notwithstanding, there is also in practice often a destruction of…
Quantum-enhanced multi-parameter estimation for unitary photonic systems
Nana Liu, Hugo Cable
Precise device characterization is a fundamental requirement for a large range of applications using photonic hardware, and constitutes a multi-parameter estimation problem. Estima…
Power of photonic states: from quantum computation to cosmology
Nana Liu
This thesis is an exploration of the power of photonic resources, as viewed from several different but related perspectives. They range from quantum computation, precision paramete…
The power of one qumode for quantum computation
Nana Liu, Jayne Thompson, Christian Weedbrook +4
Although quantum computers are capable of solving problems like factoring exponentially faster than the best-known classical algorithms, determining the resources responsible for t…
Quantum thermodynamics for a model of an expanding universe
Nana Liu, John Goold, Ivette Fuentes +3
We investigate the thermodynamical properties of quantum fields in curved spacetime. Our approach is to consider quantum fields in curved spacetime as a quantum system undergoing a…