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Promise-BQP is the class of promise problems that can be solved by a uniform family of quantum circuits (i.e., within BQP). [10] Completeness proofs focus on this version of BQP. Similar to the notion of NP-completeness and other complete problems, we can define a complete problem as a problem that is in Promise-BQP and that every other problem ...
Andrew Chi-Chih Yao (Chinese: 姚期智; pinyin: Yáo Qīzhì; born December 24, 1946) is a Chinese computer scientist and computational theorist. He is currently a professor and the dean of Institute for Interdisciplinary Information Sciences (IIIS) at Tsinghua University. Yao used the minimax theorem to prove what is now known as Yao's Principle.
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. It studies the hardness of computational problems in relation to these complexity classes, as well as the relationship between quantum complexity ...
This is a list of quantum computing terminology. Qubit. [1] [2] Quantum circuit. [3] [4] Quantum logic gate. [5] [6] [7] Topological quantum computer. [8] [9 ...
In computational complexity theory, Yao's principle (also called Yao's minimax principle or Yao's lemma) relates the performance of randomized algorithms to deterministic (non-random) algorithms. It states that, for certain classes of algorithms, and certain measures of the performance of the algorithms, the following two quantities are equal:
Circuit complexity; Circuits over sets of natural numbers; ... Geometric complexity theory; Glossary of quantum computing; ... Yao's principle
It expresses the maximum size of square quantum circuits that can be implemented successfully by the computer. The form of the circuits is independent from the quantum computer architecture, but compiler can transform and optimize it to take advantage of the computer's features. Thus, quantum volumes for different architectures can be compared.
The Hidden Matching Problem is a computation complexity problem that can be solved using quantum protocols: Let be a positive even integer. In the Hidden Matching Problem, Alice is given {,} and Bob is given (denotes the family of all possible perfect matchings on nodes).