175 citations · 1.6k across the 65 of their papers we have counts for
8 papers · 2 filters
Complete Characterization of the Ground Space Structure of Two-Body Frustration-Free Hamiltonians for Qubits
Zhengfeng Ji, Zhaohui Wei, Bei Zeng
The problem of finding the ground state of a frustration-free Hamiltonian carrying only two-body interactions between qubits is known to be solvable in polynomial time. It is also…
Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians
Jianxin Chen, Zhengfeng Ji, Mary Beth Ruskai +2
The structure of the ground spaces of quantum systems consisting of local interactions is of fundamental importance to different areas of physics. In this Letter, we present a nece…
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…
Quantum Capacity Approaching Codes for the Detected-Jump Channel
Markus Grassl, Zhengfeng Ji, Zhaohui Wei +1
The quantum channel capacity gives the ultimate limit for the rate at which quantum data can be reliably transmitted through a noisy quantum channel. Degradable quantum channels ar…
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.…
Tensor Rank and Stochastic Entanglement Catalysis for Multipartite Pure States
Lin Chen, Eric Chitambar, Runyao Duan +2
The tensor rank (also known as generalized Schmidt rank) of multipartite pure states plays an important role in the study of entanglement classifications and transformations. We em…
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…
Multi-Error-Correcting Amplitude Damping Codes
Runyao Duan, Markus Grassl, Zhengfeng Ji +1
We construct new families of multi-error-correcting quantum codes for the amplitude damping channel. Our key observation is that, with proper encoding, two uses of the amplitude da…