Quantum Error Correction: Symmetric, Asymmetric, Synchronizable, and

Description: 1-Introduction to quantum mechanics 1.1-Vector spaces 1.2- Bases, norms, inner products 1.3- Linear Operators 1.4-Eigenvalues and eigenvectors 1.5- Adjoint, Hermitian and Unitary operators 1.6- Operator functions 1.7- Pauli and generalized Pauli matrices 1.8- Postulates of quantum mechanics 2-Introduction to quantum computation and information 2.1-Single and multiple qubit operations 2.2-Universal quantum gates 2.3- Bit flip and phase shift channels 2.4- Depolarizing channel2.5-Amplitude damping channel 2.6-Measure of distance of quantum states 2.7-Fidelity 3-Quantum error-correcting codes 3.1-The Shor code 3.2-The Steane code 3.3-Five quibit code 3.4-Quantum Hamming and Singleton bound 3.4-Stabilizer codes 3.5-Calderbank-Shor-Steane code construction 3.6-Hermitian construction 3.7-Steane's enlargement construction 3.8-Additive codes 4-Quantum code construction 4.1-Bose-Chaudhuri-Hocquenghem codes4.2-Reed-Solomon codes 4.3-Reed-Muller codes 4.4-Quadratic residue codes 4.5-Constacyclic codes 4.6- Affine Invariant codes 4.7-Algebraic geometry codes 4.8-Synchronizable codes 5-Asymmetric quantum code construction 5.1- Bose-Chaudhuri-Hocquenghem codes 5.2- Reed-Solomon codes 5.3-Tensor product codes 5.4-Alternalt codes 5.5- Algebraic geometry codes 5.6-New codes from old 6-Quantum convolutional code construction6.1-Convolutional codes 6.2-Quantum convolutional codes 6.3- Code construction: Bose-Chaudhuri-Hocquenghem, Reed-Solomon Reed-Muller6.4-Construction of asymmetric quantum convolutional codes

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Location: Hillsdale, NSW

End Time: 2024-11-19T00:59:41.000Z

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