Complexity theory quantum computing

  • Quantum computing topics

    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..

  • Quantum computing topics

    Complexity theory is a central topic in theoretical computer science.
    It has direct applications to computability theory and uses computation models such as Turing machines to help test complexity.
    Complexity theory helps computer scientists relate and group problems together into complexity classes..

  • Quantum computing topics

    Quantum computing uses phenomena in quantum physics to create new ways of computing.
    Quantum computing involves qubits.
    Unlike a normal computer bit, which can be either 0 or 1, a qubit can exist in a multidimensional state.
    The power of quantum computers grows exponentially with more qubits..

  • Quantum computing topics

    The underlying quantum mechanics leads to some distinctively new features which have no classical counterparts.
    These new features can be exploited, not only to improve the performance of certain information-processing tasks but also to accomplish tasks which are impossible or intractable in the classical realm..

  • What are the theories of quantum computing?

    Quantum Computation Theory is the implementation of quantum-mechanical phenomena in order to perform computation.
    The quantum computer can perform such a computation either physically or theoretically.
    Currently, quantum computation is divided into two main approaches: analog and digital..

  • What is complexity in quantum computing?

    A complexity class is a collection of computational problems that can be solved by a computational model under certain resource constraints.
    For instance, the complexity class P is defined as the set of problems solvable by a Turing machine in polynomial time..

  • What is complexity of quantum computing?

    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..

  • What is the complexity of a quantum state?

    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..

  • What is the quantum computing complexity theory?

    Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational model based on quantum mechanics..

  • What is the theory behind quantum computing?

    Quantum computing uses phenomena in quantum physics to create new ways of computing.
    Quantum computing involves qubits.
    Unlike a normal computer bit, which can be either 0 or 1, a qubit can exist in a multidimensional state.
    The power of quantum computers grows exponentially with more qubits..

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.
One of the reasons quantum complexity theory is studied are the implications of quantum computing for the modern Church-Turing thesis. In short the modern Church-Turing thesis states that any computational model can be simulated in polynomial time with a probabilistic Turing machine.
Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational model based on quantum mechanics.
Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers,  BackgroundBQPSimulation of quantum circuitsQuantum query complexity

Computer science

In computational complexity theory, exact quantum polynomial time is the class of decision problems that can be solved by a quantum computer with zero error probability and in guaranteed worst-case polynomial time.
It is the quantum analogue of the complexity class P.
This is in contrast to bounded-error quantum computing, where quantum algorithms are expected to run in polynomial time, but may not always do so.

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