1.3k citations · 6.6k across the 57 of their papers we have counts for
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Quantum codes give counterexamples to the unique pre-image conjecture of the N-representability problem
Samuel A. Ocko, Xie Chen, Bei Zeng +4
It is well known that the ground state energy of many-particle Hamiltonians involving only 2-body interactions can be obtained using constrained optimizations over density matrices…
Classification of Gapped Symmetric Phases in 1D Spin Systems
Xie Chen, Zheng-Cheng Gu, Xiao-Gang Wen
Quantum many-body systems divide into a variety of phases with very different physical properties. The question of what kind of phases exist and how to identify them seems hard esp…
No-go Theorem for One-way Quantum Computing on Naturally Occurring Two-level Systems
Jianxin Chen, Xie Chen, Runyao Duan +2
One-way quantum computing achieves the full power of quantum computation by performing single particle measurements on some many-body entangled state, known as the resource state.…
Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
Xie Chen, Zheng-Cheng Gu, Xiao-Gang Wen
Two gapped quantum ground states in the same phase are connected by an adiabatic evolution which gives rise to a local unitary transformation that maps between the states. On the o…
Tensor product representation of topological ordered phase: necessary symmetry conditions
Xie Chen, Bei Zeng, Zheng-Cheng Gu +2
The tensor product representation of quantum states leads to a promising variational approach to study quantum phase and quantum phase transitions, especially topological ordered p…
Quantum state reduction for universal measurement based computation
Xie Chen, Runyao Duan, Zhengfeng Ji +1
Measurement based quantum computation (MBQC), which requires only single particle measurements on a universal resource state to achieve the full power of quantum computing, has bee…