Lecture 29: Motion in a Central Potential Phy851 Fall 2009
... • Any basis formed from eigenstates of an exactly solvable system plus a weak symmetry breaking perturbation – We can watch the levels evolve as we increase the perturbation strength, and therefore keep track of the quantum numbers ...
... • Any basis formed from eigenstates of an exactly solvable system plus a weak symmetry breaking perturbation – We can watch the levels evolve as we increase the perturbation strength, and therefore keep track of the quantum numbers ...
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... non-classical if it exhibits negative contributions. Translating this condition to the photon number statistics they become non-classical if they cannot be described by a mixture of Poissonian probability distributions [1] (see figure 3). For Wigner functions negative values of the phase space repres ...
... non-classical if it exhibits negative contributions. Translating this condition to the photon number statistics they become non-classical if they cannot be described by a mixture of Poissonian probability distributions [1] (see figure 3). For Wigner functions negative values of the phase space repres ...
ON THE QUANTUM-CLASSICAL ANALOGIES 1. INTRODUCTION It
... approximations of electromagnetic waves, in a similar way in which classical mechanics is an approximation of quantum mechanics. In this paper I would like to comment on the analogies between quantum mechanics and classical optics, starting from the definitions of analogy found in the Oxford diction ...
... approximations of electromagnetic waves, in a similar way in which classical mechanics is an approximation of quantum mechanics. In this paper I would like to comment on the analogies between quantum mechanics and classical optics, starting from the definitions of analogy found in the Oxford diction ...
On the Formal Verification of Optical Quantum Gates in HOL
... Recently, some developments for the formal verification of quantum optics has been conducted in higher-order logic (HOL) theorem proving [12] [14]. The main reason behind the choice of HOL is because of the high expressiveness it offers. Definitely, this comes at the expense of the full automation that ...
... Recently, some developments for the formal verification of quantum optics has been conducted in higher-order logic (HOL) theorem proving [12] [14]. The main reason behind the choice of HOL is because of the high expressiveness it offers. Definitely, this comes at the expense of the full automation that ...
Highligh in Physics 2005
... One of the most intriguing problems in modern physics is to explain the emergence of the classical appearance of the macroscopic world from the quantum mechanical laws that rule the behavior of matter at the microscopic level. The fundamental features of quantum mechanics, such as linearity and enta ...
... One of the most intriguing problems in modern physics is to explain the emergence of the classical appearance of the macroscopic world from the quantum mechanical laws that rule the behavior of matter at the microscopic level. The fundamental features of quantum mechanics, such as linearity and enta ...
Quantum Strategies V 82, N 5
... Shor’s polynomial time quantum algorithm for factoring [2]. The quantum protocols for key distribution devised by Wiesner, by Bennett and Brassard, and by Ekert are qualitatively more secure against eavesdropping than any classical cryptosystem [3]. Cleve and Buhrman and also van Dam, Høyer, and Tap ...
... Shor’s polynomial time quantum algorithm for factoring [2]. The quantum protocols for key distribution devised by Wiesner, by Bennett and Brassard, and by Ekert are qualitatively more secure against eavesdropping than any classical cryptosystem [3]. Cleve and Buhrman and also van Dam, Høyer, and Tap ...
A Brief Introduction into Quantum Gravity and Quantum Cosmology
... very small dimensions of the path and for very great curvatures. Perhaps this failure is in strict analogy with the failure of geometrical optics . . . that becomes evident as soon as the obstacles or apertures are no longer great compared with the real, finite, wavelength. . . . Then it becomes a q ...
... very small dimensions of the path and for very great curvatures. Perhaps this failure is in strict analogy with the failure of geometrical optics . . . that becomes evident as soon as the obstacles or apertures are no longer great compared with the real, finite, wavelength. . . . Then it becomes a q ...
Quantum eraser article from Scientific Amerian
... concerned here with the change in the component parallel to the slit plate.) The amount of recoil momentum the photon gives to the slit plate would depend on the slit through which the photon traversed (since the photon would have to be deflected by a greater amount from one slit than the other to r ...
... concerned here with the change in the component parallel to the slit plate.) The amount of recoil momentum the photon gives to the slit plate would depend on the slit through which the photon traversed (since the photon would have to be deflected by a greater amount from one slit than the other to r ...
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.