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quant-ph2026
A passive self-correcting quantum memory in three dimensions
Shankar Balasubramanian, Margarita Davydova, Ting-Chun Lin
We construct a 3D Pauli stabilizer Hamiltonian whose ground state space can encode a qubit for exponential time when coupled to a bath at non-zero temperature. Our construction rec…
quant-ph2024
Quantum LDPC Codes with Transversal Non-Clifford Gates via Products of Algebraic Codes
Louis Golowich, Ting-Chun Lin
For every integer and every , we construct an explicit infinite family of quantum LDPC codes supporting a transversal gate with length , dimension $K\…
quant-ph2024
Transversal non-Clifford gates for quantum LDPC codes on sheaves
Ting-Chun Lin
A major goal in quantum computing is to build a fault-tolerant quantum computer. One approach involves quantum low-density parity-check (qLDPC) codes that support transversal non-C…