postselection) from PostBQP gives the following two complexity classes, both of which are subsets of PostBQP: BQP is the same as PostBQP except without postselection...
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PP (complexity) (section PostBQP)
to solve BQP problems instantly. The class of polynomial time on quantum computers with postselection, PostBQP, is equal to PP (see #PostBQP below). Furthermore...
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computing. Adding postselection to BQP results in the complexity class PostBQP which is equal to PP. Promise-BQP is the class of promise problems that...
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Aaronson, who showed that the class of polynomial time on such a machine (PostBQP) is equal to the classical complexity class PP. Quantum simulator § Solving...
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Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms...
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universal for the class BQP. It also relies on the following facts: Linear optics with postselected measurements is universal for PostBQP, i.e. quantum polynomial-time...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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problem is an example of a problem that yields an oracle separation between BQP and BPP. In the Deutsch–Jozsa problem, we are given a black box quantum computer...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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Quantum algorithm (section BQP-complete problems)
A problem is BQP-complete if it is in BQP and any problem in BQP can be reduced to it in polynomial time. Informally, the class of BQP-complete problems...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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algorithm was designed to prove an oracle separation between complexity classes BQP and BPP. Given an oracle that implements a function f : { 0 , 1 } n → { 0...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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Quantum complexity theory (section BQP)
non-quantum) complexity classes. Two important quantum complexity classes are BQP and QMA. A complexity class is a collection of computational problems that...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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Shor's algorithm (category Post-quantum cryptography)
solved on a quantum computer and is consequently in the complexity class BQP. This is significantly faster than the most efficient known classical factoring...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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Quantum computing (section Post-quantum cryptography)
appearing to give super-polynomial speedups and are BQP-complete. Because these problems are BQP-complete, an equally fast classical algorithm for them...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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are much more powerful: Scott Aaronson proved PostBQP is equal to PP. Some quantum experiments use post-selection after the experiment as a replacement...
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Grover's algorithm (category Post-quantum cryptography)
with logc N applications of Uω, that would imply that NP is contained in BQP, by transforming problems in NP into Grover-type search problems. The optimality...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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phase estimation Shor's Simon's VQE Quantum complexity theory BQP DQC1 EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume...
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is known to contain NP, and it is contained in its quantum counterpart PostBQP. A Monte Carlo algorithm is a randomized algorithm which is likely to be...
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