Table of Contents
How many calculations can a quantum computer do?
While a normal Turing machine can only perform one calculation at a time, a Quantum Turing machine can perform many calculations at once.
How many complexity classes are there?
Some common complexity classes are constant complexity (O(1)), logarithmic complexity (O(lgn)), linear complexity (O(n)), polynomial complexity (O(nk), for some fixed value of k and exponential complexity (e.g., O(2n)).
What is quantum query complexity?
Similar to the case of graphing problems, the quantum query complexity of a black-box problem is the smallest number of queries to the oracle that are required in order to calculate the function. This makes the quantum query complexity a lower bound on the overall time complexity of a function.
How many teraflops can a quantum computer do?
A 30-qubit quantum computer would equal the processing power of a conventional computer that could run at 10 teraflops (trillions of floating-point operations per second). Today’s typical desktop computers run at speeds measured in gigaflops (billions of floating-point operations per second).
What is GraphQL query complexity?
Query complexity allows you to define how complex certain fields are, and to restrict queries with a maximum complexity. A common default is to give each field a complexity of 1 . In addition, the complexity calculation of a GraphQL query can be customized with so-called complexity estimators.
What is the computational complexity of quantum algorithms?
Computational complexity of quantum algorithms. Quantum complexity theory is a part of computational complexity theory in theoretical computer science. It studies complexity classes defined using quantum computers and quantum information which are computational models based on quantum mechanics.
What is quantquantum complexity theory?
Quantum complexity theory is a part of computational complexity theory in theoretical computer science. It studies complexity classes defined using quantum computers and quantum information which are computational models based on quantum mechanics.
What is a complexity class in Computer Science?
Overview. A complexity class is a collection of problems which can be solved by some computational model under resource constraints. For instance, the complexity class P is defined to be the set of problems solvable by a Turing machine in polynomial time. Similarly, one may define a quantum complexity class using a quantum model of computation,…
What is BQP in quantum computing?
The class of problems that can be efficiently solved by a quantum computer with bounded error is called BQP (“bounded error, quantum, polynomial time”). More formally, BQP is the class of problems that can be solved by a polynomial-time quantum Turing machine with error probability of at most 1/3.