Quantum Computing

  1. Core Quantum Phenomena for Computation
    1. Quantum Interference
      1. Constructive and Destructive Interference
        1. Path Amplitudes
          1. Interference in Quantum Circuits
            1. Phase Relationships
            2. Role in Quantum Algorithms
              1. Speedup via Interference
                1. Amplitude Manipulation
              2. Quantum Parallelism
                1. Applying Operations to Superpositions
                  1. Simultaneous Evaluation of Functions
                    1. Function Evaluation on Superposed Inputs
                    2. Exponential State Space
                      1. Growth with Qubit Number
                        1. Implications for Computation
                          1. Classical vs Quantum State Description
                        2. No-Cloning Theorem
                          1. Statement and Proof
                            1. Implications for Quantum Information
                              1. Quantum vs Classical Information Copying

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                            4. Quantum Gates and Circuits

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                            6. Quantum Algorithms