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Six-state Protocol
The six-state protocol (SSP) is the quantum cryptography protocol that is the version of BB84 that uses a six-state polarization scheme on three orthogonal bases. Origin The six-state protocol first appeared in the article "Optimal Eavesdropping in Quantum Cryptography with Six States" by Dagmar Bruss in 1998, and was further studied in "Incoherent and coherent eavesdropping in the six-state protocol of quantum cryptography" by Pasquinucci and Nicolas Gisin in 1999. Description "The six-state protocol is a discrete-variable protocol for quantum key distribution that permits tolerating a noisier channel than the BB84 protocol." (2011, Abruzzo). SSP produces a higher rate of errors during attempted eavesdropping, thus making it easier to detect errors, as an eavesdropper must choose the right basis from three possible bases (Haitjema, 2016). High dimensional systems have been proven to provide a higher level of security. Implementation Six-state protocol can be implemented w ...
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Quantum Cryptography
Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. The best known example of quantum cryptography is quantum key distribution which offers an information-theoretically secure solution to the key exchange problem. The advantage of quantum cryptography lies in the fact that it allows the completion of various cryptographic tasks that are proven or conjectured to be impossible using only classical (i.e. non-quantum) communication. For example, it is impossible to copy data encoded in a quantum state. If one attempts to read the encoded data, the quantum state will be changed due to wave function collapse (no-cloning theorem). This could be used to detect eavesdropping in quantum key distribution (QKD). History In the early 1970s, Stephen Wiesner, then at Columbia University in New York, introduced the concept of quantum conjugate coding. His seminal paper titled "Conjugate Coding" was rejected by the IEEE Information T ...
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BB84
BB84 is a quantum key distribution scheme developed by Charles Bennett and Gilles Brassard in 1984. It is the first quantum cryptography protocol. The protocol is provably secure, relying on two conditions: (1) the quantum property that information gain is only possible at the expense of disturbing the signal if the two states one is trying to distinguish are not orthogonal (see no-cloning theorem); and (2) the existence of an authenticated public classical channel. It is usually explained as a method of securely communicating a private key from one party to another for use in one-time pad encryption.''Quantum Computing and Quantum Information'', Michael Nielsen and Isaac Chuang, Cambridge University Press 2000 Description In the BB84 scheme, Alice wishes to send a private key to Bob. She begins with two strings of bits, a and b, each n bits long. She then encodes these two strings as a tensor product of n qubits: :, \psi\rangle = \bigotimes_^, \psi_\rangle, where a_i and b_i ...
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Nicolas Gisin
Nicolas Gisin (born 1952) is a Swiss physicist and professor at the University of Geneva working on the foundations of quantum mechanics, and quantum information and communication. His work includes both experimental and theoretical physics. He contributed work in the fields of experimental quantum cryptography and long distance quantum communication in standard telecom optical fibers. He co-founded ID Quantique, a spin-off company that provides quantum-based technologies. Biography Nicolas Gisin was born in Geneva on 29 May 1952. He received a degree in mathematics and a master's degree in physics, before receiving his Ph.D. degree in Physics from the University of Geneva in 1981 for his dissertation in quantum and Statistical physics. After several years in the software and optical communication industries, Gisin joined thGroup of Applied Physics at the University of Genevain 1994, where he started working in optics. Since 2000, he has been Director of the Department of Applied ...
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Level Of Security
In cryptography, security level is a measure of the strength that a cryptographic primitive — such as a cipher or hash function — achieves. Security level is usually expressed as a number of "bits of security" (also security strength), where ''n''-bit security means that the attacker would have to perform 2''n'' operations to break it, but other methods have been proposed that more closely model the costs for an attacker. This allows for convenient comparison between algorithms and is useful when combining multiple primitives in a hybrid cryptosystem, so there is no clear weakest link. For example, AES-128 (key size 128 bits) is designed to offer a 128-bit security level, which is considered roughly equivalent to a RSA using 3072-bit key. In this context, security claim or target security level is the security level that a primitive was initially designed to achieve, although "security level" is also sometimes used in those contexts. When attacks are found that hav ...
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Six States Bloch Sphere
6 is a number, numeral, and glyph. 6 or six may also refer to: * AD 6, the sixth year of the AD era * 6 BC, the sixth year before the AD era * The month of June Science * Carbon, the element with atomic number 6 * 6 Hebe, an asteroid People * Alphonse Six (1890–1914), Belgian football player * Didier Six (born 1954), former French international footballer * Franz Six (1909–1975), Nazi official * Frederick N. Six (born 1929), Justice of the Kansas Supreme Court * James Six (1731–1793), British scientist * Jan Six (1616-1700), an important cultural figure in the Dutch Golden Age * Robert Six (1907–1986), Chief Executive Officer of Continental Airlines between 1936 and 1981 * Regine Sixt, German businessperson * Valérie Six (born 1963), French politician * Perri 6 (an extremely rare surname), social scientist * Six family, family of regents of Amsterdam, founded by Jan Six Music * Six (band), an Irish pop band created by a TV reality show * ''Six'' (musical), a ...
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SARG04
SARG04 (named after Valerio Scarani, Antonio Acin, Gregoire Ribordy, and Nicolas Gisin) is a 2004 quantum cryptography protocol derived from the first protocol of that kind, BB84. Origin Researchers built SARG04 when they noticed that by using the four states of BB84 with a different information encoding they could develop a new protocol which would be more robust, especially against the photon-number-splitting attack, when attenuated laser pulses are used instead of single-photon sources. SARG04 was defined by Scarani et al. in 2004 in Physical Review Letters as a prepare and measure version (in which it is equivalent to BB84 when viewed at the level of quantum processing). An entanglement-based version has been defined as well. Description In the SARG04 scheme, Alice wishes to send a private key to Bob. She begins with two strings of bits, a and b, each n bits long. She then encodes these two strings as a string of n qubits, , \psi\rangle = \bigotimes_^, \psi_\rangle. a ...
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Artur Ekert
Artur Konrad Ekert FRS (born 19 September 1961) is a Polish-British professor of quantum physics at the Mathematical Institute, University of Oxford, professorial fellow in quantum physics and cryptography at Merton College, Oxford, Lee Kong Chian Centennial Professor at the National University of Singapore and the founding director of the Centre for Quantum Technologies (CQT). His research interests extend over most aspects of information processing in quantum-mechanical systems, with a focus on quantum communication and quantum computation. He is best known as one of the pioneers of quantum cryptography. Early life Ekert was born in Wrocław, and studied physics at the Jagiellonian University in Cracow and at the University of Oxford. Between 1987 and 1991 he was a graduate student at Wolfson College, Oxford. In his doctoral thesis he showed how quantum entanglement and non-locality can be used to distribute cryptographic keys with perfect security. Career In 1991 he w ...
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Quantum Cryptography
Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. The best known example of quantum cryptography is quantum key distribution which offers an information-theoretically secure solution to the key exchange problem. The advantage of quantum cryptography lies in the fact that it allows the completion of various cryptographic tasks that are proven or conjectured to be impossible using only classical (i.e. non-quantum) communication. For example, it is impossible to copy data encoded in a quantum state. If one attempts to read the encoded data, the quantum state will be changed due to wave function collapse (no-cloning theorem). This could be used to detect eavesdropping in quantum key distribution (QKD). History In the early 1970s, Stephen Wiesner, then at Columbia University in New York, introduced the concept of quantum conjugate coding. His seminal paper titled "Conjugate Coding" was rejected by the IEEE Information T ...
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Cryptographic Algorithms
Cryptography, or cryptology (from grc, , translit=kryptós "hidden, secret"; and ''graphein'', "to write", or '' -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adversarial behavior. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, information security, electrical engineering, digital signal processing, physics, and others. Core concepts related to information security ( data confidentiality, data integrity, authentication, and non-repudiation) are also central to cryptography. Practical applications of cryptography include electronic commerce, chip-based payment cards, digital currencies, computer passwords, and military communications. Cryptography prior to the modern age was effectively synonymous wit ...
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Quantum Information Science
Quantum information science is an interdisciplinary field that seeks to understand the analysis, processing, and transmission of information using quantum mechanics principles. It combines the study of Information science with quantum effects in physics. It includes theoretical issues in computational models and more experimental topics in quantum physics, including what can and cannot be done with quantum information. The term quantum information theory is also used, but it fails to encompass experimental research, and can be confused with a subfield of quantum information science that addresses the processing of quantum information. Scientific and engineering studies To understand quantum teleportation, quantum entanglement and the manufacturing of quantum computer hardware requires a thorough understanding of quantum physics and engineering. Since 2010s, there has been remarkable progress in manufacturing quantum computers, with companies like Google and IBM investing heavily ...
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Quantum Cryptography
Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. The best known example of quantum cryptography is quantum key distribution which offers an information-theoretically secure solution to the key exchange problem. The advantage of quantum cryptography lies in the fact that it allows the completion of various cryptographic tasks that are proven or conjectured to be impossible using only classical (i.e. non-quantum) communication. For example, it is impossible to copy data encoded in a quantum state. If one attempts to read the encoded data, the quantum state will be changed due to wave function collapse (no-cloning theorem). This could be used to detect eavesdropping in quantum key distribution (QKD). History In the early 1970s, Stephen Wiesner, then at Columbia University in New York, introduced the concept of quantum conjugate coding. His seminal paper titled "Conjugate Coding" was rejected by the IEEE Information T ...
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Quantum Cryptography Protocols
Quantum key distribution (QKD) protocols are used in quantum key distribution. The first protocol of that kind was BB84, introduced in 1984 by Charles H. Bennett and Gilles Brassard. After that, many other protocols have been defined. List of quantum key distribution protocols *BB84 (1984) is a quantum key distribution scheme that allows two parties to securely communicate a private key for use in one-time pad encryption using the quantum property that information gain is only possible at the expense of disturbing the signal if the two states one is trying to distinguish are not orthogonal and an authenticated public classical channel. *E91 protocol (1991) is a quantum cryptography method that uses entangled pairs of photons to generate keys for secure communication, with the ability to detect any attempts at eavesdropping by an external party through the violation of Bell's Theorem and the preservation of perfect correlation between the measurements of the two parties. * BBM92 ...
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