Recent progress in quantum cryptography and quantum computers has given hope to their imminent practical realization. An essential element at the heart of the application of these quantum systems is a quantum error correction scheme. We propose a new technique based on the use of coding in order ...
Efficient quantum codes will have to use a quantum analog of this distance. Below we present a perfect (i.e., capable of correcting all one-bit errors with the minimum number of extra qubits) quantum error correction code using only five qubits (shown to be the smallest possible ...
Quantum PhysicsWe present a quantum error correction code which protects a qubit of information against general one qubit errors which maybe caused by the interaction with the environment. To accomplish this, we encode the original state by distributing quantum information over five qubits, the ...
A fast Minimum-Weight Perfect Matching (MWPM) solver for Quantum Error Correction (QEC) Please seeour tutorial for a quick explanation and some Python demos. Our paper is out on arXiv!https://arxiv.org/abs/2305.08307 Key Features
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Samuel L. BraunsteinJohn A. SmolinAmerican Physical SocietyBraunstein, S. L., Smolin, J. A.: Perfect quantum-error-correcting coding in 24 laser pulses. Phys. Rev. A 55 (1997) 945-950Braunstein, S. L., Smolin, J. A.: Perfect quantum-error-correcting coding in 24 laser pulses. Phys...
Provided herein are methods of solving minimum-weight perfect matching (MWPM) for quantum error correction. The methods include i) partitioning an algorithm into a dual module and a primal module; ii) computing a maximum update length in the dual module; iii) gathering a return value in the ...
Two new expressions for the entanglement fidelity recently introduced by Schumacher (LANL e-print quant-ph/9604023, to appear in Phys. Rev. A) are derived. These expressions show that it is the entanglement fidelity which must be maximized when performing error correction on qubits for quantum ...
automated-defect-correction automated-language-learning automated-machine-learning automated-process automated-programming automated-project-management automated-refactoring automated-requirements automated-research automated-risk-management automated-test-generator automated-time-series-project autom...