Nana Liu
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A big quantum welcome!

Hi and welcome! I'm Nana and I feel super lucky to be a quantum physicist. I’m currently a tenured associate professor and PI in Shanghai Jiao Tong University (SJTU). In my Quantum Information and Technologies (QIT) group, we are very excited to work on continuous-variable quantum information, quantum algorithms for scientific computing, quantum machine learning, quantum internet and many other interesting topics!

If you see any common interests, please drop a line! We would love to hear from you!

For our group website, please visit www.quantumquintet.com/
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We are recruiting! If you are interested in a postdoc position with us, drop me a line and say hello! 

News

​2024
March 2023: Excited to give an invited talk about our work at the APS March Meeting! 

2023

December 2023: Our new method for turning time-dependent Hamiltonian problems into time-independent ones! Can also be applied to non-autonomous linear PDEs!
Quantum simulation for time-dependent Hamiltonians -- with applications to non-autonomous ordinary and partial differential equations

October 2023: Our preprint now out, showing rigorously how Schrodingerisation can be formally considered as an alternative demonstration of the Sz. Nagy dilation theorem
Dilation theorem via Schrodingerisation, with applications to the quantum simulation of differential equations
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September 2023: Excited to share our work on analog quantum simulation for PDEs in AQIS 2023, Seoul!

​Our paper `Nondestructively probing the thermodynamics of quantum systems with qumodes' selected as a Featured Article in AVS Quantum Science!

Our paper focused on the quantum simulation of Maxwell's equations including boundary conditions is out on arXiv: Quantum simulation of Maxwell’s equations via Schrodingerisation

August 2023: Very excited about this new work on how analog quantum simulation (continuous-variables) can be used for the simulation of PDEs! 
Analog quantum simulation of partial differential equations
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May 2023: One more paper on boundary conditions in quantum simulation!
Quantum Simulation for Partial Differential Equations with Physical Boundary or Interface Conditions
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April 2023: Two new preprints! Here Schrodingerisation is used for linear algebra: 
Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation

and also applicable for artificial boundary conditions in quantum dynamics: Quantum Simulation for Quantum Dynamics with Artificial Boundary Conditions

Our follow-up paper on our previous algorithm for nonlinear ODEs/PDEs now published in Journal of Computational Physics!

March 2023: New preprint on quantum-enhanced measurements (shadow tomography) for continuous-variable quantum states 
Quantum-enhanced learning of continuous-variable quantum states
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2022

December 2022: Our papers on rewriting any partial differential equation in Schrodinger form - called Schrodingerisation - so quantum simulation can be used directly,  is out on arxiv! We have a short introductory paper with quantum applications, and a longer technical companion paper 

September 2022: Our new quantum algorithm for uncertainty quantification `Quantum algorithms for uncertainty quantification: application to partial differential equations' is out on arXiv!

​September 2022: Also our more detailed analysis of quantum algorithms for nonlinear ODEs and PDEs (and their comparisons) `Time complexity analysis of quantum algorithms via linear representations for nonlinear ordinary and partial differential equations' is out too! 

September 2022: Our paper on ``Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations' accepted in Journal of Computational Physics!

June 2022: Our paper on quantum simulation in the semi-classical regime now published in Quantum!


February 2022: Very excited to have our new preprint `Quantum algorithms for computing observables of nonlinear partial differential equations' finally out! 
February 2022: First paper together with my postdoc Terence! `Time complexity analysis of quantum difference methods for linear high dimensional and multiscale partial differential equations' now out on arxiv
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2021
December 2021: Our paper `On quantum algorithms for the Schrodinger equation in the semi-classical regime' now out on arxiv! 
September 2021: The 5th QTML (Quantum Techniques in Machine Learning) conference  to be held in November 2021, is currently accepting submissions until 15th September 2021! ​Very honoured to be the program co-chair this year. Please forward to any interested students and colleagues who would like to participate : https://easychair.org/cfp/QTML2021 
August 2021: Our paper `Tangible reduction in learning sample complexity with large classical samples and small quantum system' is now published in Quantum Information Processing! 
June 2021: Big welcome to new postdoc Yue Yu (Terence) to our group!! :D 
May 2021: Our paper `Efficient verification of continuous-variable quantum states and devices without assuming identical and independent preparation' is accepted in Physical Review Letters!
Our paper `Quantum noise protects quantum classifiers against adversaries' is accepted in Physical Review Research!
April 2021: Our paper `Optimal Provable Robustness of Quantum Classification via Quantum Hypothesis Testing' is accepted in npj Quantum Information!
2020

​December 2020: Our new preprint `Efficient verification of continuous-variable quantum states and devices without assuming identical and independent preparation' is out!
September 2020: Our new preprint `Optimal Provable Robustness of Quantum Classification via Quantum Hypothesis Testing' is out! 
June 2020: We moved to the Institute of Natural Sciences! Also new affiliation with the University of Michigan-Shanghai Jiao Tong University Joint Institute!
April 2020:
Our paper `Vulnerability of quantum classification to adversarial perturbations' chosen as Editor's Suggestion in Physical Review A! 
March 2020:
Our new preprint `Quantum noise protects quantum classifiers against adversaries' is out!
Our paper `Vulnerability of quantum classification to adversarial perturbations' accepted to Physical Review A
My new quantum computing course finally approved in SJTU!
The 4th QTML (Quantum Techniques in Machine Learning) conference in Boston to be held in November 2020, is currently accepting submissions until 15th June 2020. ​Happy to be on the program committee!

Brief CV

Past employment 

Postdoctoral Research Fellow (2016-2018): Center for Quantum Technologies (CQT), National University of Singapore and Singapore University of Technology and Design (SUTD)

Education

PhD/DPhil (2016): University of Oxford, Clarendon Scholar
Masters (2011): University of Melbourne (theoretical physics)
Undergraduate (2010): University of Melbourne (pure maths major)
Secondary school (2006): MacRobertson Girls High School 

Research experience 

6. Quantum information and technologies group (QIT, own group), Shanghai (Sep 2016 – Sep 2018) 
Research areas: Quantum computing, quantum machine learning, quantum networks and security, continuous variable quantum information                                                                                                                                                 
5. Quantum theory and information group, CQT (NUS) and SUTD (Sep 2016 – Sep 2018) 
Research Areas: Quantum computing, quantum machine learning and continuous variable quantum information
4. Frontiers of Quantum Mechanics Group, Department of Atomic and Laser Physics, University of Oxford (Feb 2013 – Sep 2016) 
Research Areas: Quantum computing, quantum process tomography, quantum thermodynamics and relativistic quantum systems
3. Theoretical Physics group, Rudolf Peierls School of Theoretical Physics, University of Oxford (Oct 2011 – Feb 2013) 
Research Areas: High Energy Particle Physics (phenomenology): dark matter and beyond the Standard Model
2. Particle Physics Theory Group, School of Physics, University of Melbourne (Jan 2009 – Sep 2011) 
Research Areas: Beyond the Standard Model physics: higher dimensional models
1. Modelling of Granular Materials (MGM) group, Department of Mathematics and Statistics, University of Melbourne (Jul 2004 – Dec 2008) 
Research Areas: Granular material modelling: statistical mechanical modelling, mesoscopic physics, kinetic theory and hydrodynamics
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