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Comment on “Quantum convolutional error-correcting codes”

Physical Review A, 2005
In this Comment we present a counterexample to theorems 2 and 3 from Chau [Phys. Rev. A 58, 905 (1998)] regarding quantum convolutional codes.
De Almeida, ACA, Palazzo, R, Chau, HF
openaire   +3 more sources

Quantum Error-Correcting Codes

2019
Any quantum system inevitably interacts with the environment which causes decoherence. While the environment is generally inaccessible, can we protect our system against noise to maintain its quantum coherence? One technique developed in quantum information science, called the quantum error-correcting codes, does the job.
Bei Zeng   +3 more
openaire   +1 more source

Quantum Error-Correcting Codes

2001
So far we have been dealing with a highly idealized situation in which physical states have been assumed to be stable and independent of time and in which unitary transformations on these states can be effected in a reliable fashion. The real situation is considerably more complicated and requires a model for the dynamics of a quantum system.
openaire   +1 more source

Quantum Error Correcting Codes

Mathematical Aspects of Quantum Computing 2007, 2008
  +5 more sources

Realization of an Error-Correcting Surface Code with Superconducting Qubits

Physical Review Letters, 2022
Futian Liang   +2 more
exaly  

Exact Decoding of Quantum Error-Correcting Codes

Physical Review Letters
We study the exact maximum-likelihood decoding of quantum error-correcting codes. Our primary focus is on the repetition code under circuit-level noise, which serves as a fundamental basis for quantum error correction experiments and is the only code that has achieved large distances and extremely low error rates.
Hanyan Cao   +10 more
openaire   +2 more sources

Testing a quantum error-correcting code on various platforms

Science Bulletin, 2021
Yuan-Yuan Zhao   +2 more
exaly  

Quantum Steering of Surface Error Correcting Codes

2023 IEEE International Conference on Quantum Computing and Engineering (QCE), 2023
Daniel Volya, Prabhat Mishra 0001
openaire   +1 more source

An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve

Advances in Mathematics of Communications, 2023
René Bødker Christensen   +2 more
exaly  

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