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- Huangjun Zhu

Information is physical. The power and limitation of information processing is eventually determined by the laws of physics. The cross fertilization of quantum mechanics and information theory has revolutionized the way information is perceived and processed. On the one hand, quantum mechanics imposes stringent constraints on our ability to acquire information, say, of complementary observables. On the other hand, it allows us to realize many tasks much more efficiently than possible in the classical world, such as quantum computation, communications, and cryptography. Conversely, information theoretical ideas have played important roles in understanding basic principles of quantum physics.

I am interested in better understanding the distinctive features of quantum information processing as compared with its classical counterpart and in harnessing the power offered by quantum mechanics. I am also interested in the connections between quantum information processing and the geometry of the quantum state space, as well as basic principles of quantum mechanics, such as complementarity principle.

To be specific, my current research work focuses on the following topics:

Quantum measurement theory and quantum state estimation.

Applications of information theoretic ideas to the study of quantum foundations.

Geometry of quantum states, with focus on symmetric informationally complete measurements (SICs) and mutually unbiased bases (MUB).

Multipartite entanglement and its applications.

- NUS Graduate School for Integrative Sciences and Engineering Scholarship, Jan 2008 to Dec 2011

- H. Zhu, Super-symmetric informationally complete measurements, Ann. Phys. 362, 311 (2015).
- H. Zhu, Information complementarity: A new paradigm for decoding quantum incompatibility, to appear in Scientific Reports, arXiv: 1408.0560
- H. Zhu, Nonexistence of sharply covariant mutually unbiased bases in odd prime dimensions, to appear in Phys. Rev. A, arXiv: 1506.05737
- H. Zhu, Mutually unbiased bases as minimal Clifford covariant 2-designs, Phys. Rev. A, 91, 060301(R) (2015).
- D. M. Appleby, C. A. Fuchs, H. Zhu, Group theoretic, Lie algebraic and Jordan algebraic formulations of the SIC existence problem, Quantum Inf. Comput. 15, 61 (2015); see also arXiv: 1312.0555 [quant-ph].
- H. Zhu, Tomographic and Lie algebraic significance of generalized symmetric informationally complete measurements, Phys. Rev. A 90, 032309 (2014).
- H. Zhu, Quantum state estimation with informationally overcomplete measurements, Phys. Rev. A 90, 012115 (2014).
- H. Zhu, Permutation symmetry determines the discrete Wigner function, arXiv: 1504.03773
- H. Zhu, Sharply covariant mutually unbiased bases, arXiv: 1503.00003
- Z. Hou, H. Zhu, G.-Y. Xiang, C.-F. Li, and G.-C. Guo, Experimental verification of quantum precision limit in adaptive qubit state tomography, arXiv: 1503.00264
- Z. Hou, H. Zhu, G.-Y. Xiang, C.-F. Li, and G.-C. Guo, Error-compensation measurements on polarization qubits, arXiv: 1503.00263

- From maximal consistent sets to quantum state space, Conference on Quantum Information & Quantum Control, Fields Institute, Toronto, Aug 21, 2014.
- Permutation symmetry determines the discrete Wigner function, The group of Joseph Emerson, Institute for quantum computing, Waterloo, Canada, Apr 28, 2015.
- Super-symmetric informationally complete measurements, Department of Combinatorics and Optimization, University of Waterloo, Canada, Feb 5, 2015.
- Information complementarity: A new paradigm for decoding quantum incompatibility, Department of Physics and Astronomy, Shanghai Jiao Tong University, China, Nov 24, 2014.
- Information complementarity: A new paradigm for decoding quantum incompatibility, Key Lab of Quantum Information, CAS, Hefei, Anhui, China, June 5, 2014.
- Information complementarity: A new paradigm for decoding quantum incompatibility, Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China, May 19, 2013.
- Tomography with entanglement witnesses, Department of Physics, Tsinghua University, Beijing, China, May 16, 2014.
- Information complementarity: A new paradigm for decoding quantum incompatibility, Institute for Interdisciplinary information Sciences, Tsinghua University, Beijing, China, May 14, 2014.
- Quantum state estimation with separable measurements and collective measurements, Academy of Mathematics and Systems Science, CAS, Beijing, China, May 12, 2014
- Information complementarity: A new paradigm for decoding quantum incompatibility, Centre for Quantum Technologies, National University of Singapore, Singapore, April 28, 2014.
- Quantum state estimation with separable measurements and collective measurements, Key Lab of Quantum Information, CAS, Hefei, Anhui, China, August 29, 2013.
- Symmetric informationally complete measurement, Lie algebra, and the unitary group, Department of Mathematics, Zhejiang University, China, August 3, 2013.
- Quantum state estimation and geometry of quantum states, invited lectures at summer school on quantum information and computation, Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China, 2013-07-29 to 2013-08-14 (lecture time: 40 hours)
- PIRSA:15070085, Information complementarity: A new paradigm for decoding quantum incompatibility, 2015-07-28, Quantum Foundations
- Maximal consistent sets and quantum state space, Quantum information group meeting, 2013-02-27
- PIRSA:11040105, Symmetric Informationally Complete POVMs in Prime Dimensions, Quantum Information

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