Spacetime lifting constructs fault complexes with almost-linear fault distance in spacetime cost, outperforming prior constructions and supporting fault-tolerant logical teleportation via cluster-state protocols.
Spacetime codes of clifford circuits
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Logical error rates in [[7,1,3]] and [[12,2,4]] codes are suppressed 9.8-800 times below physical rates on trapped-ion hardware, with repeated correction cycles approaching the error rate of two physical CNOTs.
Gauging the spacetime code produces a lattice gauge theory inheriting circuit fault tolerance, with applications to foliated MBQC, classical memory in mixed topological states, and learnable Pauli noise degrees of freedom.
Morphing circuits optimize syndrome extraction for Abelian 2BGA and other QEC codes, yielding new circuits with improved parameters, connectivity, and stability against measurement errors.
Constructions for universal quantum computation in the [[n,n-2,2]] error-detecting code detect single-gate errors at computation end, providing weak fault tolerance with reduced overhead versus full error correction.
citing papers explorer
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A framework for low-overhead quantum fault tolerance via spacetime lifting
Spacetime lifting constructs fault complexes with almost-linear fault distance in spacetime cost, outperforming prior constructions and supporting fault-tolerant logical teleportation via cluster-state protocols.
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Demonstration of logical qubits and repeated error correction with better-than-physical error rates
Logical error rates in [[7,1,3]] and [[12,2,4]] codes are suppressed 9.8-800 times below physical rates on trapped-ion hardware, with repeated correction cycles approaching the error rate of two physical CNOTs.
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Gauging the Spacetime Code
Gauging the spacetime code produces a lattice gauge theory inheriting circuit fault tolerance, with applications to foliated MBQC, classical memory in mixed topological states, and learnable Pauli noise degrees of freedom.
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Optimising Quantum Error Correction Using Morphing Circuits
Morphing circuits optimize syndrome extraction for Abelian 2BGA and other QEC codes, yielding new circuits with improved parameters, connectivity, and stability against measurement errors.
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Weakly Fault-Tolerant Computation in a Quantum Error-Detecting Code
Constructions for universal quantum computation in the [[n,n-2,2]] error-detecting code detect single-gate errors at computation end, providing weak fault tolerance with reduced overhead versus full error correction.