Venn Diagram Examples for Problem Solving .
Quantum Information Science. BQP Complexity

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Create your Venn diagrams for problem solving in quantum information science using the ConceptDraw PRO diagramming and vector drawing software extended with the Venn Diagrams solution from the area "What is a Diagram" of ConceptDraw Solution Park.

"A quantum computer (also known as a quantum supercomputer) is a computation device that makes direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), quantum computation uses quantum properties to represent data and perform operations on these data. A theoretical model is the quantum Turing machine, also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. One example is the ability to be in more than one state simultaneously."
[Quantum computer. Wikipedia]

Example 1. Venn Diagram Problem Solving - BQP Complexity. The suspected relationship of BQP to other problem spaces.

This svg shows the suspected shape of the of problem space, the range of problems easily solved by quantum computers.

Note that this is not proven; it has not been proved that P!=NP or P!=PSPACE, and if either of these are equal, the shape of BQP would be different.
Diagram based on information found in: Michael Nielsen and Isaac Chuang (2000). Quantum Computation and Quantum Information. Cambridge: Cambridge University Press. ISBN 0-521-63503-9.

"In computational complexity theory, BQP (bounded error quantum polynomial time) is the class of decision problems solvable by a quantum computer in polynomial time, with an error probability of at most 1/3 for all instances. It is the quantum analogue of the complexity class BPP.
In other words, there is an algorithm for a quantum computer (a quantum algorithm) that solves the decision problem with high probability and is guaranteed to run in polynomial time. On any given run of the algorithm, it has a probability of at most 1/3 that it will give the wrong answer."
[BQP. Wikipedia]

The Venn diagram example above was redesigned from the Wikimedia Commons file: BQP complexity class diagram.svg.

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