Abstract
Channel capacities quantify the optimal rates of sending information reliably over noisy channels. Usually, the study of capacities assumes that the circuits which sender and receiver use for encoding and decoding consist of perfectly noiseless gates. In the case of communication over quantum channels, however, this assumption is widely believed to be unrealistic, even in the long-term, due to the fragility of quantum information, which is affected by the process of decoherence. Christandl and Müller-Hermes have therefore initiated the study of fault-tolerant channel coding for quantum channels, i.e. coding schemes where encoder and decoder circuits are affected by noise, and have used techniques from fault-tolerant quantum computing to establish coding theorems for sending classical and quantum information in this scenario. Here, we extend these methods to the case of entanglement-assisted communication, in particular proving that the fault-tolerant capacity approaches the usual capacity when the gate error approaches zero. A main tool, which might be of independent interest, is the introduction of fault-tolerant entanglement distillation. We furthermore focus on the modularity of the techniques used, so that they can be easily adopted in other fault-tolerant communication scenarios.
Original language | English |
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Title of host publication | 2023 IEEE International Symposium on Information Theory (ISIT) |
Publisher | IEEE |
Publication date | 2023 |
Pages | 84-89 |
ISBN (Electronic) | 978-1-6654-7554-9 |
DOIs | |
Publication status | Published - 2023 |
Event | 2023 IEEE International Symposium on Information Theory (ISIT) - Taipei, Taiwan Duration: 25 Jun 2023 → 30 Jun 2023 |
Conference
Conference | 2023 IEEE International Symposium on Information Theory (ISIT) |
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City | Taipei, Taiwan |
Period | 25/06/2023 → 30/06/2023 |