Quantum Information Processing and Quantum Error Correction: An Engineering Approach

Quantum Error Correction Protects Quantum Search Algorithms Against Decoherence
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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.

Quantum Information Processing and Quantum Error Correction

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.

Grumbling, Emily; Horowitz, Mark eds. International Journal of Theoretical Physics. Retrieved 28 February Vychislimoe i nevychislimoe [ Computable and Noncomputable ] in Russian. Archived from the original on Retrieved Cornell University, Physics Lecture Notes. Quantum Computation and Quantum Information 2nd ed.

Cambridge: Cambridge University Press. Nanocomputers and Swarm Intelligence.

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Programming paradigm Programming language Compiler Domain-specific language Modeling language Software framework Integrated development environment Software configuration management Software library Software repository. Retrieved 17 February January 2, In November , the University of Sydney research team successfully made a microwave circulator , an important quantum computer part, that was times smaller than a conventional circulator, by using topological insulators to slow down the speed of light in a material. Since its first volume in , Advances in Computers has presented detailed coverage of innovations In February , Digital Combinational Circuits like an adder, subtractor etc. Yang Institute for Theoretical Physics.

London: ISTE. Bibcode : Sci Designs, Codes and Cryptography. Archived from the original PDF on Bernstein, Introduction to Post-Quantum Cryptography. Introduction to Daniel J. Bernstein, Johannes Buchmann, Erik Dahmen editors. Post-quantum cryptography. Springer, Berlin, Bernstein and Tanja Lange on cryptography not known to be broken by quantum computing. Information and Media Technologies. WIRED explains".

Wired UK. Quantum Computers.

Washington Post. Institute for Advanced Study. Physical Review Letters. Nature Physics. Physical Review A. Bibcode : PhRvA.. Macquarie University. IEEE Spectrum. Fortschritte der Physik. Bibcode : ForPh..

Quantum error correction codes - QuTech Academy

Bibcode : Natur. Luryi; J. Xu; A. Zaslavsky eds. Future Trends in Microelectronics. Up the Nano Creek : 4— Bibcode : quant. Bulletin of the American Mathematical Society. New Scientist. Bibcode : RvMP Rev Mod Phys. Bibcode : PhRvL.. Quantum Computers and Computing. International Journal of Modern Physics B. Journal of Physics: Condensed Matter. Bibcode : JPCM August Optics and Spectroscopy. Bibcode : OptSp.. June 6, January 1, Bibcode : OptCo. September 23, Nature Communications. Bibcode : NatCo Journal of Statistical Physics. Bibcode : JSP Radio in Russian. Archived from the original on May 10, Retrieved October 20, Retrieved May 4, University of Michigan.

Girvin; R. Schoelkopf 9 July Yale University. Yang Institute for Theoretical Physics. Retrieved on International Journal of Computer and Electrical Engineering. University of New South Wales. University of Southern California. Technology Review. Bibcode : NatPh.. Physical Review X. Bibcode : PhRvX Nature Photonics. Bibcode : NaPho Bibcode : PhRvL. The Australian. The New York Times. MIT Technology Review. November 15, Proceedings of the National Academy of Sciences.

Bibcode : PNAS.. Research Google Blog. Another can handle highly polluted training data, where a high percentage of the examples are mislabeled, as they often are in the real world. January 2, Scientific American. Computer World. MIT News. May 4, Retrieved 8 August Retrieved 17 May Retrieved 23 July Retrieved 13 September Retrieved 14 December Why not buy your very own D-Wave quantum computer". Retrieved 13 May Institute of Electrical and Electronics Engineers. Retrieved July 5, Retrieved 17 February Retrieved July 12, Retrieved 14 January Tech Crunch.

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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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Universal quantum simulator Deutsch—Jozsa algorithm Grover's algorithm Quantum Fourier transform Shor's algorithm Simon's problem Quantum phase estimation algorithm Quantum counting algorithm Quantum annealing Quantum algorithm for linear systems of equations Amplitude amplification. Quantum circuit Quantum logic gate One-way quantum computer cluster state Adiabatic quantum computation Topological quantum computer.

Trapped ion quantum computer Optical lattice. Charge qubit Flux qubit Phase qubit Transmon. Emerging technologies. Agricultural robot Cellular agriculture Closed ecological systems Cultured meat Genetically modified food Precision agriculture Vertical farming. Arcology Building printing Contour crafting Domed city.

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Cryptography Formal methods Security services Intrusion detection system Hardware security Network security Information security Application security. Interaction design Social computing Ubiquitous computing Visualization Accessibility. In-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits. Provides the right balance among the quantum mechanics, quantum error correction, quantum computing and quantum communication.

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.