
... Closed-orbit theory is a semiclassical method for calculating photoabsorption cross sections. This method is based on the observation that to calculate this cross section it is only necessary to obtain the Green’s function for points near the nucleus when the initial state is compact. Thus in a semi ...
The Spin-Statistics Relation and Noncommutative Quantum
... Without a doubt the greatest breakthrough in 19th century chemistry was the construction of the table of elements by Dmitri Mendeleev in 1869. It is nothing less than perfect of an example of what a scientific theory should be like. In short, Mendeleev found definite patterns in the characteristics ...
... Without a doubt the greatest breakthrough in 19th century chemistry was the construction of the table of elements by Dmitri Mendeleev in 1869. It is nothing less than perfect of an example of what a scientific theory should be like. In short, Mendeleev found definite patterns in the characteristics ...
Full-text PDF - American Mathematical Society
... is equivalent to these trajectories being equidistributed with respect to the Liouville measure μ = dxdydθ/(2πArea(Ω)), where θ is the angle of the direction. There are many questions that are asked about such high frequency eigenmodes; we focus on the most basic one concerning their distribution. T ...
... is equivalent to these trajectories being equidistributed with respect to the Liouville measure μ = dxdydθ/(2πArea(Ω)), where θ is the angle of the direction. There are many questions that are asked about such high frequency eigenmodes; we focus on the most basic one concerning their distribution. T ...
Cryogenic Control Architecture for Large
... Microwave switching devices based on the depletion of an electron gas also enable a new capacitive mode of operation. In this configuration, the CPW feed line transitions to a microstrip geometry by contacting the electron gas to the planar ground planes using Ohmic contacts, as illustrated in Figs. ...
... Microwave switching devices based on the depletion of an electron gas also enable a new capacitive mode of operation. In this configuration, the CPW feed line transitions to a microstrip geometry by contacting the electron gas to the planar ground planes using Ohmic contacts, as illustrated in Figs. ...
URL - StealthSkater
... experiment (for instance) generalizes to M-matrix defining time-like entanglement between positive and negative energy parts of zero energy states. One might say that the U process corresponds to a fundamental act of creation creating a quantum superposition of possibilities and the remaining steps ...
... experiment (for instance) generalizes to M-matrix defining time-like entanglement between positive and negative energy parts of zero energy states. One might say that the U process corresponds to a fundamental act of creation creating a quantum superposition of possibilities and the remaining steps ...
PDF (Author Accepted Manuscript) - CLoK
... We first analyse the restricted four-body problem consisting of the Earth, the Moon and the Sun as the primaries and a spacecraft as the planetoid. This scheme allows us to take into account the solar perturbation in the description of the motion of a spacecraft in the vicinity of the stable Earth-M ...
... We first analyse the restricted four-body problem consisting of the Earth, the Moon and the Sun as the primaries and a spacecraft as the planetoid. This scheme allows us to take into account the solar perturbation in the description of the motion of a spacecraft in the vicinity of the stable Earth-M ...
Analysis of Literature: Quantum Computer Programming
... considered. In 1982 Feynman implicitly stated that a quantum computer would be needed to simulate a quantum system with his proposal in the early 1980s for a “universal quantum simulator” [7] [8]. However, his proposal was not a computer as laid out by Turning [3]. Feynman’s simulator can only be pr ...
... considered. In 1982 Feynman implicitly stated that a quantum computer would be needed to simulate a quantum system with his proposal in the early 1980s for a “universal quantum simulator” [7] [8]. However, his proposal was not a computer as laid out by Turning [3]. Feynman’s simulator can only be pr ...
Beyond Heisenberg`s Uncertainty Limits - CFCUL
... system, depends on the relative size between the measurement basic apparatus and the system upon which the measurement is being done. Until now, the most basic interacting quantum device is the photon. Nevertheless if the photon has an inner structure, as is assumed in the Broglie model, it will imp ...
... system, depends on the relative size between the measurement basic apparatus and the system upon which the measurement is being done. Until now, the most basic interacting quantum device is the photon. Nevertheless if the photon has an inner structure, as is assumed in the Broglie model, it will imp ...
arXiv:0803.3834v2 [quant-ph] 26 May 2009
... for new students. The quantum description of angular momentum involves differential operators or new algebra rules that seem to be disconnected from the classical intuition. For small values of angular momentum one needs a quantum description because the quantum fluctuations are as big as the angula ...
... for new students. The quantum description of angular momentum involves differential operators or new algebra rules that seem to be disconnected from the classical intuition. For small values of angular momentum one needs a quantum description because the quantum fluctuations are as big as the angula ...
How to Construct Quantum Random Functions
... Goldreich, Goldwasser, and Micali show how to build a pseudorandom function PRF from any length-doubling pseudorandom generator G. This construction is known as the GGM construction. Pseudorandom generators can, in turn, be built from any one-way function, as shown by Håstad et al. [HILL99]. The se ...
... Goldreich, Goldwasser, and Micali show how to build a pseudorandom function PRF from any length-doubling pseudorandom generator G. This construction is known as the GGM construction. Pseudorandom generators can, in turn, be built from any one-way function, as shown by Håstad et al. [HILL99]. The se ...
Workshop on Spectral Geometry General Information
... $\Sigma$ be an embedded surface of $R^3$. A quantum layer is the set of points whose distance to $\Sigma$ is less than a fixed number $a$. We shall see that for many such quantum layers, the Dirichilet Laplacian has the ground state. ...
... $\Sigma$ be an embedded surface of $R^3$. A quantum layer is the set of points whose distance to $\Sigma$ is less than a fixed number $a$. We shall see that for many such quantum layers, the Dirichilet Laplacian has the ground state. ...
Boson sampling for molecular vibronic spectra - CIQM
... operations characterizing a quantum computer is strictly larger than the operations possible in a classical hardware. This speculation is at the basis of quantum speedups that have been achieved for oracular and search problems1,2. Particularly significant is the exponential speedup achieved for the ...
... operations characterizing a quantum computer is strictly larger than the operations possible in a classical hardware. This speculation is at the basis of quantum speedups that have been achieved for oracular and search problems1,2. Particularly significant is the exponential speedup achieved for the ...
Toward a scalable, silicon-based quantum computing architecture
... tems can be composed from multiple qubits, for example, . An -qubit state is described by or 1The speed of this channel is, however, limited by the rate at which two classical bits can be transmitted from source to destination, without which the quantum information is ambiguous. ...
... tems can be composed from multiple qubits, for example, . An -qubit state is described by or 1The speed of this channel is, however, limited by the rate at which two classical bits can be transmitted from source to destination, without which the quantum information is ambiguous. ...
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.