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  Quantum Error-Correcting Codes for Qudit Amplitude Damping

Grassl, M., Kong, L., Wei, Z., Yin, Z.-Q., & Zeng, B. (2018). Quantum Error-Correcting Codes for Qudit Amplitude Damping. IEEE Transactions on Information Theory, 64(6), 4674-4685. doi:10.1109/TIT.2018.2790423.

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1509.06829.pdf (Preprint), 204KB
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Grassl, Markus1, Author
Kong, Linghang2, Author
Wei, Zhaohui2, Author
Yin, Zhang-Qi2, Author
Zeng, Bei2, Author
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1Quantumness, Tomography, Entanglement, and Codes, Emeritus Group Leuchs, Emeritus Groups, Max Planck Institute for the Science of Light, Max Planck Society, Staudtstraße 2, 91058 Erlangen, DE, ou_2364709              
2External Organizations, ou_persistent22              

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Free keywords: Quantum Physics, quant-ph
 Abstract: Traditional quantum error-correcting codes are designed for the depolarizing channel modeled by generalized Pauli errors occurring with equal probability. Amplitude damping channels model, in general, the decay process of a multilevel atom or energy dissipation of a bosonic system at zero temperature. We discuss quantum error-correcting codes adapted to amplitude damping channels for higher dimensional systems (qudits). For multi-level atoms, we consider a natural kind of decay process, and for bosonic systems,we consider the qudit amplitude damping channel obtained by truncating the Fock basis of the bosonic modes to a certain maximum occupation number. We construct families of single-error-correcting quantum codes that can be used for both cases. Our codes have larger code dimensions than the previously known single-error-correcting codes of the same lengths. Additionally, we present families of multi-error correcting codes for these two channels, as well as generalizations of our construction technique to error-correcting codes for the qutrit V and Lambda channels.

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 Dates: 2015-09-222018-01-08
 Publication Status: Published in print
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Title: IEEE Transactions on Information Theory
Source Genre: Journal
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Pages: 12 Volume / Issue: 64 (6) Sequence Number: - Start / End Page: 4674 - 4685 Identifier: -