EA qubit code 

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

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
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Zoo Code ID: ea_qubits_into_qubits

Cite as:
“EA qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/ea_qubits_into_qubits
BibTeX:
@incollection{eczoo_ea_qubits_into_qubits, title={EA qubit code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/ea_qubits_into_qubits} }
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Permanent link:
https://errorcorrectionzoo.org/c/ea_qubits_into_qubits

Cite as:

“EA qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/ea_qubits_into_qubits

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/ea_qubits_into_qubits.yml.