Root code for the Qubit Kingdom
Description
Qubit code designed to utilize pre-shared entanglement between sender and receiver.
Rate
There are EA versions of classical and quantum capacities [1]. EA hashing bounds on the minimum entanglement required to achieve the entanglement-assisted channel capacity are derived [2].
Encoding
Encoding algorithm [3].
Decoding
Decoding algorithm [3].
Parent
- EA Galois-qudit code — EA Galois-qudit codes reduce to EA qubit codes for \(q=2\).
Child
Cousin
- Qubit code — EA qubit codes utilize additional ancillary qubits in a pre-shared entangled state, but reduce to ordinary qubit codes when said qubits are interpreted as noiseless physical qubits.
References
- [1]
- C. H. Bennett et al., “Entanglement-Assisted Classical Capacity of Noisy Quantum Channels”, Physical Review Letters 83, 3081 (1999) arXiv:quant-ph/9904023 DOI
- [2]
- G. Bowen, “Entanglement required in achieving entanglement-assisted channel capacities”, Physical Review A 66, (2002) arXiv:quant-ph/0205117 DOI
- [3]
- M. M. Wilde, “Quantum Coding with Entanglement”, (2008) arXiv:0806.4214
Page edit log
- Victor V. Albert (2023-10-31) — most recent
Cite as:
“EA qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/ea_qubits_into_qubits