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...

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...

to solve BQP problems instantly. The class of polynomial time on quantum computers with postselection, PostBQP, is equal to PP (see #PostBQP below). Furthermore...

Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms...

appearing to give super-polynomial speedups and are BQP-complete. Because these problems are BQP-complete, an equally fast classical algorithm for them...

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...

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...

are much more powerful: Scott Aaronson proved PostBQP is equal to PP. Some quantum experiments use post-selection after the experiment as a replacement...

non-quantum) complexity classes. Two important quantum complexity classes are BQP and QMA. A complexity class is a collection of computational problems that...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

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...

that Bob cannot in any way distinguish the pre-measurement state σ from the post-measurement state P(σ). This is accomplished mathematically by comparing...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

according to this school of thought, because new information is available. The post-measurement wave function generally cannot be known prior to the measurement...

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...

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...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

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...

integrate quantum-safe solutions such as Quantum Key Distribution (QKD) and Post-Quantum Cryptography (PQC) and be secure in the quantum age. In 2024, the...

increased investment in quantum computing research and the development of post-quantum cryptography to prepare for the fault-tolerant quantum computing...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

solved on a quantum computer and is consequently in the complexity class BQP. This is significantly faster than the most efficient known classical factoring...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

the complexity classes BPP (bounded-error classical query complexity) and BQP (bounded-error quantum query complexity). This is the same separation that...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...

phase estimation Shor's Simon's VQE Quantum complexity theory BQP EQP QIP QMA PostBQP Quantum processor benchmarks Quantum supremacy Quantum volume Randomized...