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... – looks same with different directions. A particle with ms =1 looks the same after rotation a complete revolution. A particle with ms=2 looks the same after one turns it round half evolution. The particles exist which you have to turn two complete evolutions, ms =1/2 to look the same!!! ...
Quantum vs. classical - University of Bristol
Quantum vs. classical - University of Bristol

1 The density operator
1 The density operator

... both make a measurement, then Alice always gets the opposite of what Bob gets. In fact, this state is a bit more special. Let ~n be any unit vector. If Bob ~ · ~n for his electron he gets +1/2 with probability 1/2 and −1/2 measures S ~ · ~n for her electron she gets +1/2 with probability 1/2. If Ali ...
Quantum Few-Body Systems
Quantum Few-Body Systems

DYNAMICS AND INFORMATION (Published by Uspekhi
DYNAMICS AND INFORMATION (Published by Uspekhi

... with a small coefécient at second derivatives. We know that the solutions of such equations may be quite different from solutions of equations without the higher derivatives. Small external noises are reinforced by the dynamic chaos of the gas, and its behavior obeys the Boltzmann equation for the o ...
A Wave Theory of Light and Electrons
A Wave Theory of Light and Electrons

REVIEW OF WAVE MECHANICS
REVIEW OF WAVE MECHANICS

Compton Effect and Spectral Lines
Compton Effect and Spectral Lines

... 1) A photon of initial energy 5.8  103 eV is deflected by 130 in a collision with a free electron, which is initially at rest. What is the wavelength of the scattered photon? What energy (in eV) does the electron acquire in the collision? What is the velocity of the recoil electron? 2) An electron ...
Lecture 6: QUANTUM CIRCUITS 1. Simple Quantum Circuits We`ve
Lecture 6: QUANTUM CIRCUITS 1. Simple Quantum Circuits We`ve

... provide a detailed look at quantum circuits because the term ”quantum computer” itself is synonymous with the quantum circuit model of computation. Generally, a quantum circuit is formed by the gates connected by lines. The simplest quantum circuits containing the single qubit gates are shown in Fig ...
Precedence and freedom in quantum physics
Precedence and freedom in quantum physics

Distillability of Inseparable Quantum Systems
Distillability of Inseparable Quantum Systems

here - André Xuereb
here - André Xuereb

Chapter 7 Quantum Theory of the Atom
Chapter 7 Quantum Theory of the Atom

Atomic Structure Lecture 7 - Introduction Lecture 7
Atomic Structure Lecture 7 - Introduction Lecture 7

... The wave function, !, is also called an atomic orbital. • There is a different wave function for each of the different energy states that an electron can have in an atom While the wave function, !, has no physical meaning, the square of the wave function, !2, is does. • !2 is called the probability ...
Tina Bilban Epistemic and ontic interpretation of quantum
Tina Bilban Epistemic and ontic interpretation of quantum

... The relationship between the observer, the observation and the observed has not been seen as particularly important in classical physics, where objects of physical observation and their independence from the observer have been taken for granted. On the contrary, this question has always been seen as ...
Quantum Physics 3 - FSU Physics Department
Quantum Physics 3 - FSU Physics Department

... photons, i.e. cannot be outcome of destructive or constructive combination of photons  interference pattern is due to some inherent property of each photon – it “interferes with itself” while passing from source to screen photons don’t “split” – light detectors always show signals of same intensity ...
Control of quantum systems using model
Control of quantum systems using model

Does Quantum Mechanics Make Sense?
Does Quantum Mechanics Make Sense?

Document
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... say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind; it may be the beginning of knowledge, but you have scarcely ...
An introduction to spherically symmetric loop quantum gravity black
An introduction to spherically symmetric loop quantum gravity black

A quantum protocol to win the graph colouring game on all
A quantum protocol to win the graph colouring game on all

The Born rule and its interpretation
The Born rule and its interpretation

The Quantum Model : Part II
The Quantum Model : Part II

PHOTONS AND PHOTON STATISTICS
PHOTONS AND PHOTON STATISTICS

... classical particles. By contrast, they are indistinguishable, nonlocalizable and obey Bose statistics. A figure like Fig. 3 is dangerous as it pretends that photons in a light beam have well defined positions. The notion of classical and quantum particles is intrinsically very different. In particul ...
Quantum wave mechanics
Quantum wave mechanics

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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.
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