Quantum complexity theory book

  • Is quantum information theory hard?

    As you might have guessed, quantum computing is a complex field that's difficult for non-experts to understand.
    However, it is possible to grasp some of the fundamental concepts, giving you a basic understanding of how quantum computers work..

  • What is the second law of quantum complexity?

    This leads to the proposal of the second law of quantum complexity, which suggests that quantum systems continue to increase in complexity even after reaching thermal equilibrium.
    I conclude by discussing the implications of this law for black holes and the eventual plateauing of complexity..

  • A quantum complexity class is a collection of computational problems that are solvable by a cho- sen quantum computational model that obeys certain resource constraints.
    For example, BQP is the quantum complexity class of all decision problems that can be solved in polynomial time by a quantum computer.
    Quantum proof.
  • In quantum computing, the circuit model provides a natural measure of complexity for pure states and unitaries: a unitary transformation's quantum circuit complexity is the size, measured with the number of gates, of the smallest circuit that effects the unitary.
  • Quantum query complexity
    Essentially, a quantum computer may be able to both determine how long it will take to solve a problem, while a classical computer may be unable to do so, and can also greatly improve the computational efficiency associated with the solution to a particular problem.
The course has no official textbook. However, students may find the following books helpful: Nielsen, Michael, and Issac Chuang. Quantum Computation and Quantum Information.
This section provides a list of useful textbooks and journal articles on quantum complexity theory However, students may find the following books helpful:.

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