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.
Active stabilisation, quantum computation and quantum state synthesis
3 Pith papers cite this work, alongside 334 external citations. Polarity classification is still indexing.
3
Pith papers citing it
334
external citations · Pith
abstract
Active stabilisation of a quantum system is the active suppression of noise (such as decoherence) in the system, without disrupting its unitary evolution. Quantum error correction suggests the possibility of achieving this, but only if the recovery network can suppress more noise than it introduces. A general method of constructing such networks is proposed, which gives a substantial improvement over previous fault tolerant designs. The construction permits quantum error correction to be understood as essentially quantum state synthesis. An approximate analysis implies that algorithms involving very many computational steps on a quantum computer can thus be made possible.
fields
quant-ph 3representative citing papers
List decoding of entanglement-free quantum polar codes yields logical error rates competitive with surface codes and LDPC codes of similar size, with class-probability approximation providing further improvement.
Concatenates Laflamme and Iceberg codes with selective filtering for a partially fault-tolerant quantum computation scheme that simulations indicate performs reliably at realistic noise levels.
citing papers explorer
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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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Improved Logical Error Rate via List Decoding of Quantum Polar Codes
List decoding of entanglement-free quantum polar codes yields logical error rates competitive with surface codes and LDPC codes of similar size, with class-probability approximation providing further improvement.
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Fire and ice: Partially fault-tolerant quantum computing with selective state filtering
Concatenates Laflamme and Iceberg codes with selective filtering for a partially fault-tolerant quantum computation scheme that simulations indicate performs reliably at realistic noise levels.