Complementarity in Quantum Mechanics and Classical Statistical
... Roughly speaking, complementarity can be understood as the coexistence of multiple properties in the behavior of an object that seem to be contradictory. Although it is possible to switch among different descriptions of these properties, in principle, it is impossible to view them, at the same time, ...
... Roughly speaking, complementarity can be understood as the coexistence of multiple properties in the behavior of an object that seem to be contradictory. Although it is possible to switch among different descriptions of these properties, in principle, it is impossible to view them, at the same time, ...
QUANTUM SPIN LIQUIDS: QUEST FOR THE ODD PARTICLE
... gapless spinon excitations (which leads to algebraicallydecaying spin-spin correlations in space and time) as well as gapless gauge fluctuations. Because of the algebraic behavior of the spin-spin correlations, these spin liquid phases are often called “critical spin liquids”, and the spinons and ga ...
... gapless spinon excitations (which leads to algebraicallydecaying spin-spin correlations in space and time) as well as gapless gauge fluctuations. Because of the algebraic behavior of the spin-spin correlations, these spin liquid phases are often called “critical spin liquids”, and the spinons and ga ...
Quantum Information Processing - LANL Research Library
... those of traditional “classical” information. For example, in communication, quantum information enables quantum cryptography, which is a method for communicating in secret. Secrecy is guaranteed because eavesdropping attempts necessarily disturb the exchanged quantum information without revealing t ...
... those of traditional “classical” information. For example, in communication, quantum information enables quantum cryptography, which is a method for communicating in secret. Secrecy is guaranteed because eavesdropping attempts necessarily disturb the exchanged quantum information without revealing t ...
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... interpretation of mixtures, but does not necessarily follow without that interpretation. And, he continues, the ignorance interpretation of mixtures equivocates on the nature of quantum states, as expressed by means of the statistical operator formalism: A quantum mixed state so expressed should no ...
... interpretation of mixtures, but does not necessarily follow without that interpretation. And, he continues, the ignorance interpretation of mixtures equivocates on the nature of quantum states, as expressed by means of the statistical operator formalism: A quantum mixed state so expressed should no ...
100, 027001 (2008)
... the spectral weight at ! 0 then requires jh0N1 j R j0N ij jh0N j R j0N1 ij, where j0M i is the M-particle ground state. This would not occur in a metal or an Anderson insulator. Experiments in atomic superfluid.—The schemes proposed above for testing the nonlocal properties of the Majorana zero ...
... the spectral weight at ! 0 then requires jh0N1 j R j0N ij jh0N j R j0N1 ij, where j0M i is the M-particle ground state. This would not occur in a metal or an Anderson insulator. Experiments in atomic superfluid.—The schemes proposed above for testing the nonlocal properties of the Majorana zero ...
Overview Andrew Jaramillo Research Statement
... algebras more generally. Another future project worth pursuing involves the Dixmier map for nilpotent and solvable Lie algebras. Let h be a nilpotent or solvable Lie algebra. Briefly, the Dixmier map gives a correspondence from the dual , h∗ , to the primitive spectrum of U (h). This map is surjecti ...
... algebras more generally. Another future project worth pursuing involves the Dixmier map for nilpotent and solvable Lie algebras. Let h be a nilpotent or solvable Lie algebra. Briefly, the Dixmier map gives a correspondence from the dual , h∗ , to the primitive spectrum of U (h). This map is surjecti ...
Adiabatic Preparation of Topological Order
... such Hamiltonians has been used as a paradigm for adiabatic quantum computation [9]. This process must be accomplished such that the error between the actual final state and the desired (ideal adiabatic) ground state of H1, is as small as possible. The problem is that real and virtual excitation ...
... such Hamiltonians has been used as a paradigm for adiabatic quantum computation [9]. This process must be accomplished such that the error between the actual final state and the desired (ideal adiabatic) ground state of H1, is as small as possible. The problem is that real and virtual excitation ...
Quantum key distribution
Quantum key distribution (QKD) uses quantum mechanics to guarantee secure communication. It enables two parties to produce a shared random secret key known only to them, which can then be used to encrypt and decrypt messages. It is often incorrectly called quantum cryptography, as it is the most well known example of the group of quantum cryptographic tasks.An important and unique property of quantum key distribution is the ability of the two communicating users to detect the presence of any third party trying to gain knowledge of the key. This results from a fundamental aspect of quantum mechanics: the process of measuring a quantum system in general disturbs the system. A third party trying to eavesdrop on the key must in some way measure it, thus introducing detectable anomalies. By using quantum superpositions or quantum entanglement and transmitting information in quantum states, a communication system can be implemented which detects eavesdropping. If the level of eavesdropping is below a certain threshold, a key can be produced that is guaranteed to be secure (i.e. the eavesdropper has no information about it), otherwise no secure key is possible and communication is aborted.The security of encryption that uses quantum key distribution relies on the foundations of quantum mechanics, in contrast to traditional public key cryptography which relies on the computational difficulty of certain mathematical functions, and cannot provide any indication of eavesdropping at any point in the communication process, or any mathematical proof as to the actual complexity of reversing the one-way functions used. QKD has provable security based on information theory, and forward secrecy.Quantum key distribution is only used to produce and distribute a key, not to transmit any message data. This key can then be used with any chosen encryption algorithm to encrypt (and decrypt) a message, which can then be transmitted over a standard communication channel. The algorithm most commonly associated with QKD is the one-time pad, as it is provably secure when used with a secret, random key. In real world situations, it is often also used with encryption using symmetric key algorithms like the Advanced Encryption Standard algorithm. In the case of QKD this comparison is based on the assumption of perfect single-photon sources and detectors, that cannot be easily implemented.