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.
Measurement based fault tolerance beyond foliation
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abstract
In order to build a scalable quantum computer error correction will be required to reduce the impact of errors. Implementing error correction in the framework of measurement based computation manifests itself as the construction of fault tolerant cluster states (FTCSs). While any 2-dimensional stabilizer code can be used to construct a FTCS through the process of foliation, here we find FTCSs that cannot be constructed through foliation of a stabilizer code, and identify new examples of self-dual codes that can still be implemented in a 2-dimensional physical architecture.
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UNVERDICTED 2representative citing papers
Clifford-deformed elongated compass codes exhibit bias-dependent thresholds and outperform the XZZX surface code at moderate dephasing biases under code capacity noise.
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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Clifford-Deformed Compass Codes
Clifford-deformed elongated compass codes exhibit bias-dependent thresholds and outperform the XZZX surface code at moderate dephasing biases under code capacity noise.