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Correcting Quantum Errors with Entanglement [PDF]
, 2006 We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction. The entanglement-assisted quantum codes we describe do not require the dual-containing constraint necessary for standard quantum error ...
Brun, Todd +2 more
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Error Correcting Codes in Quantum Theory
Physical Review Letters, 1996 Summary: A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory.
openaire +3 more sources
Engineering Quantum Error Correction Codes Using Evolutionary Algorithms
IEEE Transactions on Quantum EngineeringQuantum error correction and the use of quantum error correction codes are likely to be essential for the realization of practical quantum computing.
Mark A. Webster, Dan E. Browne
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New Journal of Physics, 2017 Quantum error correction is important to quantum information processing, which allows us to reliably process information encoded in quantum error correction codes. Efficient quantum error correction benefits from the knowledge of error rates.
Ming-Xia Huo, Ying Li
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Error Correction of Quantum Reference Frame Information
PRX Quantum, 2021 The existence of quantum error-correcting codes is one of the most counterintuitive and potentially technologically important discoveries of quantum-information theory.
Patrick Hayden +3 more
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Scientific ReportsThe error correction model’s main purpose in heavy hexagonal quantum codes is to improve their reliability for quantum computing applications. Existing challenges include finding the optimal decoder for quantum error correction in heavy hexagonal codes ...
Umesh Uttamrao Shinde, Ravikumar Bandaru
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Quantum Codes: A Comprehensive Survey of Techniques, Challenges, and Future Directions
IEEE AccessQuantum error correction is fundamental to enabling reliable quantum computation and communication in the presence of noise and decoherence. Over the years, a diverse range of quantum coding strategies has been developed, each offering distinct ...
Istiak Mahmud, Ahmed Abdelhadi
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Entanglement-Assisted Quantum Codes from Cyclic Codes
Entropy, 2022 Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer ...
Francisco Revson F. Pereira +1 more
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Advanced Engineering Materials, EarlyView.This study presents a reversible temperature sensor with high switching ratio, ∼103. The device is fabricated using PET‐ITO and carbon nanotube dispersions in alkane. Considering its application in cold chain logistics, a proof‐of‐concept with LED is showcased. Thus, a temperature drop below the threshold temperature (crystallization temperature of the
Sunil Kumar Behera +8 more
wiley +1 more source
Triangular color codes on trivalent graphs with flag qubits
New Journal of Physics, 2020 The color code is a topological quantum error-correcting code supporting a variety of valuable fault-tolerant logical gates. Its two-dimensional version, the triangular color code, may soon be realized with currently available superconducting hardware ...
Christopher Chamberland +3 more
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