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Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation
Xie Chen, Bei Zeng, Zhengcheng Gu +2
Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measu…
Nonbinary Codeword Stabilized Quantum Codes
Xie Chen, Bei Zeng, Isaac L. Chuang
The codeword stabilized (CWS) quantum codes formalism presents a unifying approach to both additive and nonadditive quantum error-correcting codes (arXiv:0708.1021 [quant-ph]), but…
Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit
Xie Chen, Hyeyoun Chung, Andrew W. Cross +2
A long-standing open problem in fault-tolerant quantum computation has been to find a universal set of transversal gates. As three of us proved in arXiv: 0706.1382, such a set does…
Semi-Clifford operations, structure of hierarchy, and gate complexity for fault-tolerant quantum computation
Bei Zeng, Xie Chen, Isaac L. Chuang
Teleportation is a crucial element in fault-tolerant quantum computation and a complete understanding of its capacity is very important for the practical implementation of optimal…