A two-dimensional dissipative quantum cellular automaton achieves passive quantum error correction with a nonzero noise threshold and supports fault-tolerant universal computation.
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Introduces intrinsic locality dimension for stabilizer codes and uses it to prove general bounds on code parameters and fault-tolerant logical gates, generalizing prior topological code results.
Compactification of a single higher-dimensional hypergraph-product fracton model yields a broad family of translation-invariant quantum LDPC codes that includes fracton models and all A2BGA codes such as BB codes.
A 3D Pauli stabilizer Hamiltonian is constructed that encodes a qubit with exponential lifetime at finite temperature through recursive local transformations on a seed Hamiltonian.
citing papers explorer
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Quantum Memory and Autonomous Computation in Two Dimensions
A two-dimensional dissipative quantum cellular automaton achieves passive quantum error correction with a nonzero noise threshold and supports fault-tolerant universal computation.
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Intrinsic locality dimension of quantum codes
Introduces intrinsic locality dimension for stabilizer codes and uses it to prove general bounds on code parameters and fault-tolerant logical gates, generalizing prior topological code results.
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Translation-invariant quantum low-density parity-check codes from compactified fracton models
Compactification of a single higher-dimensional hypergraph-product fracton model yields a broad family of translation-invariant quantum LDPC codes that includes fracton models and all A2BGA codes such as BB codes.
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A passive self-correcting quantum memory in three dimensions
A 3D Pauli stabilizer Hamiltonian is constructed that encodes a qubit with exponential lifetime at finite temperature through recursive local transformations on a seed Hamiltonian.