Quantum Computing

  1. Multi-Qubit Systems
    1. Two-Qubit Systems
      1. Tensor Product Construction
        1. Computational Basis States
          1. General Two-Qubit States
          2. Entanglement
            1. Definition and Creation of Entangled States
              1. Tensor Product Structure
                1. Entangling Gates
                  1. Schmidt Decomposition
                  2. Bell States
                    1. Definition and Properties
                      1. Measurement Correlations
                        1. Maximally Entangled States
                        2. Separable vs Entangled States
                          1. Separability Criterion
                            1. Entanglement Measures
                            2. Einstein-Podolsky-Rosen (EPR) Paradox
                              1. Historical Context
                                1. Implications for Local Realism
                                2. Non-Locality and Correlations
                                  1. Bell's Theorem
                                    1. Bell Inequalities
                                      1. Experimental Violations
                                    2. Multi-Qubit Measurements
                                      1. Joint Measurements
                                        1. Partial Measurements
                                          1. Measurement in Different Bases

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                                        2. The Qubit: The Quantum Bit

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                                        4. Quantum Gates and Circuits