Quantum computers only run probabilistic algorithms , so BQP on quantum computers is the counterpart of BPP "bounded error, probabilistic, polynomial time" on classical computers. It is defined as the set of problems solvable with a polynomial-time algorithm, whose probability of error is bounded away from one half. If that solution runs in polynomial time, then that problem is in BQP. Both integer factorization and discrete log are in BQP. Both are suspected to not be NP-complete.
There is a common misconception that quantum computers can solve NP-complete problems in polynomial time. That is not known to be true, and is generally suspected to be false. The capacity of a quantum computer to accelerate classical algorithms has rigid limits—upper bounds of quantum computation's complexity.
The overwhelming part of classical calculations cannot be accelerated on a quantum computer. Bohmian Mechanics is a non-local hidden variable interpretation of quantum mechanics. Neither search method will allow quantum computers to solve NP-Complete problems in polynomial time. Although quantum computers may be faster than classical computers for some problem types, those described above cannot solve any problem that classical computers cannot already solve. A Turing machine can simulate these quantum computers, so such a quantum computer could never solve an undecidable problem like the halting problem.
The existence of "standard" quantum computers does not disprove the Church—Turing thesis.
Currently, defining computation in such theories is an open problem due to the problem of time , i. From Wikipedia, the free encyclopedia. Using quantum-mechanical phenomena for computing. This section includes a list of references , but its sources remain unclear because it has insufficient inline citations.
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Main article: Quantum decoherence. Main article: Timeline of quantum computing. Main article: Quantum complexity theory. Quantum Computing portal. Supercomputer Chemical computer DNA computing Electronic quantum holography Intelligence Advanced Research Projects Activity Kane quantum computer List of emerging technologies List of quantum processors Natural computing Normal mode Photonic computing Post-quantum cryptography Quantum annealing Quantum bus Quantum cognition Quantum cryptography Quantum gate Quantum machine learning Quantum threshold theorem Soliton Theoretical computer science Timeline of quantum computing Topological quantum computer Valleytronics.
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Quantum Information Processing and Quantum Error Correction. An Engineering Approach. Book • Authors: Ivan Djordjevic. Browse book content. Quantum Information Processing and Quantum Error Correction - 1st Edition - ISBN: , 1st Edition. An Engineering Approach.
Suslov, A. Proceedings of the London Royal Society. A : — See section 7 "Quantum Gravity": "[…] to anyone who wants a test or benchmark for a favorite quantum gravity theory,[author's footnote: That is, one without all the bother of making numerical predictions and comparing them to observation] let me humbly propose the following: can you define Quantum Gravity Polynomial-Time? This further reading section may contain inappropriate or excessive suggestions. Please ensure that only a reasonable number of balanced , topical, reliable, and notable further reading suggestions are given.
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His current research interests include optical networks, error control coding, constrained coding, coded modulation, turbo equalization, OFDM applications, and quantum error correction. Provides everything an engineer needs in one tutorial-based introduction to understand and implement quantum-level circuits. Avoids the heavy use of mathematics by not assuming the previous knowledge of quantum mechanics.
Provides in-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits. Communications engineers, computer engineers, electronic systems engineers and graduate engineers taking either a course in quantum information engineering or quantum error correcting coding. Djordjevic is also an author of almost international journal publications and over international conference papers. We are always looking for ways to improve customer experience on Elsevier.
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Unique Features Unique in covering both quantum information processing and quantum error correction — everything in one book that an engineer needs to understand and implement quantum-level circuits.