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quant-ph2024
Transform Arbitrary Good Quantum LDPC Codes into Good Geometrically Local Codes in Any Dimension
Xingjian Li, Ting-Chun Lin, Min-Hsiu Hsieh
Geometrically local quantum codes, comprised of qubits and checks embedded in with local check operators, have been a subject of significant interest. A key challeng…
quant-ph2024★ 1 cited
Strict area law implies commuting parent Hamiltonian
Isaac H. Kim, Ting-Chun Lin, Daniel Ranard +1
We show that in two spatial dimensions, when a quantum state has entanglement entropy obeying a strict area law, meaning for constants independent o…
quant-ph2023★ 1 cited
General Distance Balancing for Quantum Locally Testable Codes
Adam Wills, Ting-Chun Lin, Min-Hsiu Hsieh
In this paper, we prove a lower bound on the soundness of quantum locally testable codes under the distance balancing construction of Evra et al. arXiv:2004.07935 [quant-ph]. Our t…