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Quantum and cryptography
* Quantum cryptography
Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, coding theory and Quantum error correction.
* Quantum cryptography
Quantum entanglement forms the basis of quantum cryptography, which is used in high-security commercial applications in banking and government.
Quantum cryptography could potentially fulfill some of the functions of public key cryptography.
Category: Quantum cryptography
Quantum cryptography protocols typically authenticate part or all of their classical communication with an unconditionally secure authentication scheme e. g. Wegman-Carter authentication.
* Quantum cryptography — The use of quantum mechanics to provide security in cryptography ( while older methods rely on one-way functions ).
# REDIRECT Quantum cryptography
Quantum cryptography
* Quantum cryptography
* Quantum cryptography and its generalization, quantum communication
Secure Communication based on Quantum Cryptography ( SECOQC ) is a project that aims to develop quantum cryptography ( see there for further details ).
Quantum cryptography, usually known as Quantum Key Distribution ( QKD ) provides powerful security.
* Quantum cryptography
# Quantum cryptography is largely part of information-theoretic cryptography.
* Quantum cryptography
These light sources are interesting for Quantum cryptography and Quantum computers.
* Quantum cryptography

Quantum and protocol
Quantum Link's graphic display was better than many competing systems because it used specialized client software with a nonstandard protocol.
However, this specialized software and nonstandard protocol also limited its market, because only the Commdore 64 and 128 could run the software necessary to access Quantum Link.
In the summer of 2005, Commodore hobbyists reverse engineered the service, allowing them to create a Q-Link protocol compatible clone called Quantum Link Reloaded which runs via the Internet as opposed to telephone lines.
It was not lost on GEIS engineers that it included a version of their proprietary EF3 protocol which was never Apple's intellectual property to share with Quantum.

Quantum and for
* Quantum annealing, a method for finding solutions to combinatorial optimisation problems and ground states of glassy systems using quantum fluctuations
Quantum nonlocality is often proposed as a mechanism for superluminal communication.
Quantum fluctuations in the microscopic inflationary region, magnified to cosmic size, become the seeds for the growth of structure in the universe ( see galaxy formation and evolution and structure formation ).
The lectures then served as the basis for his textbook, The Physical Principles of the Quantum Theory, published in 1930.
The books that were influential in the early development of computational quantum chemistry include Linus Pauling and E. Bright Wilson's 1935 Introduction to Quantum Mechanics – with Applications to Chemistry, Eyring, Walter and Kimball's 1944 Quantum Chemistry, Heitler's 1945 Elementary Wave Mechanics – with Applications to Quantum Chemistry, and later Coulson's 1952 textbook Valence, each of which served as primary references for chemists in the decades to follow.
EPR tried to set up a paradox to question the range of true application of Quantum Mechanics: Quantum theory predicts that both values cannot be known for a particle, and yet the EPR thought experiment purports to show that they must all have determinate values.
* P. Pluch, " Theory for Quantum Probability ", PhD Thesis University of Klagenfurt ( 2006 )
Quantum mechanics has very accurately demonstrated this hypothesis, and the relation has been shown explicitly for particles as large as molecules.
CESG does not manufacture security equipment, but works with industry to ensure the availability of suitable products and services, while GCHQ itself can fund research into such areas, for example to the Centre for Quantum Computing at Oxford University and the Heilbronn Institute at the University of Bristol.
This has been demonstrated in the famous Lamb-Retherford experiment and was the starting point for the development of the theory of Quantum electrodynamics ( which is able to deal with these vacuum fluctuations and employs the famous Feynman diagrams for approximations using perturbation theory ).
Bernard d ' Espagnat a French theoretical physicist best known for his work on the nature of reality wrote a paper titled The Quantum Theory and Reality according to the paper: " The doctrine that the world is made up of objects whose existence is independent of human consciousness turns out to be in conflict with quantum mechanics and with facts established by experiment.
In 1917, Albert Einstein established the theoretical foundations for the laser and the maser in the paper Zur Quantentheorie der Strahlung ( On the Quantum Theory of Radiation ); via a re-derivation of Max Planck ’ s law of radiation, conceptually based upon probability coefficients ( Einstein coefficients ) for the absorption, spontaneous emission, and stimulated emission of electromagnetic radiation ; in 1928, Rudolf W. Ladenburg confirmed the existences of the phenomena of stimulated emission and negative absorption ; in 1939, Valentin A. Fabrikant predicted the use of stimulated emission to amplify “ short ” waves ; in 1947, Willis E. Lamb and R. C. Retherford found apparent stimulated emission in hydrogen spectra and effected the first demonstration of stimulated emission ; in 1950, Alfred Kastler ( Nobel Prize for Physics 1966 ) proposed the method of optical pumping, experimentally confirmed, two years later, by Brossel, Kastler, and Winter.
*" Quantum Physics for Poets " Leon M. Lederman and Christopher T. Hill ( ISBN 978-1616142339 )
Quantum mechanics has superseded classical mechanics at the foundational level and is indispensable for the explanation and prediction of processes at molecular and ( sub ) atomic level.
Physicist Lee Smolin writes in Three Roads to Quantum Gravity that topos theory is " the right form of logic for cosmology " ( page 30 ) and " In its first forms it was called ' intuitionistic logic '" ( page 31 ).
* Haberkern, Thomas, and N Deepak " Grains of Mystique: Quantum Physics for the Layman ".
Quantum field theories for the strong nuclear force and the weak nuclear force have also been developed.

Quantum and messages
In the latter half of the 1980s and into the early 1990s, the Quantum Link online service for Commodore 64 computers offered user-to-user messages between concurrently connected customers, which they called " On-Line Messages " ( or OLM for short ), and later " FlashMail.
During the first five years of his seven-year sentence, the three men communicated their thoughts on confidence tricks and chess moves via messages hidden inside library books, such as The Mathematics of Quantum Mechanics.

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