Quantum complexity theory pdf

  • What is a quantum complexity in physics?

    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..

  • What is a quantum complexity?

    A Simple Definition
    Ultimately, quantum complexity theory deals with the hardness of computational problems in terms of quantum computational models, the classification of problems with respect to these models, and their relationship to classical models..

  • What is quantum query complexity?

    Quantum query complexity refers to how complex, or how many queries to the graph associated with the solution of a particular problem, are required to solve the problem..

  • What is the computational complexity of quantum systems?

    Quantum computational complexity estimates the difficulty of constructing quantum states from elementary operations, a problem of prime importance for quantum computation..

  • What is the quantum query complexity?

    Quantum query complexity refers to how complex, or how many queries to the graph associated with the solution of a particular problem, are required to solve the problem..

  • What is the quantum state complexity?

    The complexity of quantum states has become a key quantity of interest across various subfields of physics, from quantum computing to the theory of black holes.
    The evolution of generic quantum systems can be modelled by considering a collection of qubits subjected to sequences of random unitary gates..

  • Quantum computational complexity estimates the difficulty of constructing quantum states from elementary operations, a problem of prime importance for quantum computation.
  • Quantum query complexity refers to how complex, or how many queries to the graph associated with the solution of a particular problem, are required to solve the problem.
  • Susskind's findings theorized the following: The black hole is equivalent to a nuclear plasma. the volume of the black hole is mathematically equivalent to the circuit complexity of the plasma. and because the circuit complexity keeps growing, so must the volume.
Sep 8, 1997In this paper we study quantum computation from a complexity theoretic viewpoint. Our rst result is the existence of an e cient universal 

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