WAVE MECHANICS (Schrödinger, 1926)
... WAVE MECHANICS * The energy depends only on the principal quantum number, as in the Bohr model: En = -2.179 X 10-18J /n2 * The orbitals are named by giving the n value followed by a letter symbol for l: l= 0,1, 2, 3, 4, 5, ... s p d f g h ... * All orbitals with the same n are called a “shell”. All ...
... WAVE MECHANICS * The energy depends only on the principal quantum number, as in the Bohr model: En = -2.179 X 10-18J /n2 * The orbitals are named by giving the n value followed by a letter symbol for l: l= 0,1, 2, 3, 4, 5, ... s p d f g h ... * All orbitals with the same n are called a “shell”. All ...
Slide 1
... Famous proposal for how to solve NP-complete problems: Dip two glass plates with pegs between them into soapy water. Let the soap bubbles form a “minimum Steiner tree” connecting the pegs ...
... Famous proposal for how to solve NP-complete problems: Dip two glass plates with pegs between them into soapy water. Let the soap bubbles form a “minimum Steiner tree” connecting the pegs ...
Quantum Disentanglement Eraser
... • Distance LA, LB between atoms A, B and detector D0 << distance between atoms A,B and the beam splitter BSA and BSB where the which path or both paths choice is made randomly by photon 2 • When photon 1 triggers D0, photon 2 is still on its way to BSA, BSB • After registering of photon 1 at D0, we ...
... • Distance LA, LB between atoms A, B and detector D0 << distance between atoms A,B and the beam splitter BSA and BSB where the which path or both paths choice is made randomly by photon 2 • When photon 1 triggers D0, photon 2 is still on its way to BSA, BSB • After registering of photon 1 at D0, we ...
IntroGametheory
... Economic theory (game of maximizing monetary rewards, stock market, business, ie supply and demand) Diplomacy(2 to N players, N>2 coalitions tend to form) Secure communications (the quantum-mechanical protocols for eavesdropping [Gisin & Huttner 1997, Ekert 1991] and optimal cloning can be formulate ...
... Economic theory (game of maximizing monetary rewards, stock market, business, ie supply and demand) Diplomacy(2 to N players, N>2 coalitions tend to form) Secure communications (the quantum-mechanical protocols for eavesdropping [Gisin & Huttner 1997, Ekert 1991] and optimal cloning can be formulate ...
Integration via a Quantum Information Processor
... These three carbon atoms rotate at slightly different frequencies under the applied magnetic field. This is called the chemical shift, w and the values are shown in the figure. This allows the spins to be addressed individually. In addition there is a J-coupling between the spins due to shared elect ...
... These three carbon atoms rotate at slightly different frequencies under the applied magnetic field. This is called the chemical shift, w and the values are shown in the figure. This allows the spins to be addressed individually. In addition there is a J-coupling between the spins due to shared elect ...
ppt1 - Zettaflops
... • A Quantum computer can probably be built eventually, but not right away. Maybe in 20 years. We don’t know yet what it will look like. • It would exponentially speed up a few computations like factoring, thereby breaking currently used digital signatures and public key cryptograp (Shor ...
... • A Quantum computer can probably be built eventually, but not right away. Maybe in 20 years. We don’t know yet what it will look like. • It would exponentially speed up a few computations like factoring, thereby breaking currently used digital signatures and public key cryptograp (Shor ...
![Counting Statistics of Many-Particle Quantum Walks [1] Introduction ======](http://s1.studyres.com/store/data/008913448_1-2808597985495b37b1c4797b675d81ef-300x300.png)
Counting Statistics of Many-Particle Quantum Walks [1] Introduction ======
... Measuring such coin state in the standard basis gives each of {|1i ⊗ | ↑i, | − 1i ⊗ | ↓i} with probability 12 . After this measurement there is no correlation between the positions left. If we continue such a measurement at each iteration we obtain the plain classical random walk on the circle. Its ...
... Measuring such coin state in the standard basis gives each of {|1i ⊗ | ↑i, | − 1i ⊗ | ↓i} with probability 12 . After this measurement there is no correlation between the positions left. If we continue such a measurement at each iteration we obtain the plain classical random walk on the circle. Its ...
ON THE UNCERTAINTY RELATIONS IN STOCHASTIC MECHANICS IVAÏLO M. MLADENOV
... DIMITAR A. TRIFONOV, BLAGOVEST A. NIKOLOV AND IVAÏLO M. MLADENOV Presented by Ivaïlo M. Mladenov Abstract. It is shown that the Bohm equations for the phase S and squared modulus ρ of the quantum mechanical wave function can be derived from the classical ensemble equations admiting an aditional mome ...
... DIMITAR A. TRIFONOV, BLAGOVEST A. NIKOLOV AND IVAÏLO M. MLADENOV Presented by Ivaïlo M. Mladenov Abstract. It is shown that the Bohm equations for the phase S and squared modulus ρ of the quantum mechanical wave function can be derived from the classical ensemble equations admiting an aditional mome ...
Quantum Optical Engineering
... quantum weirdness. The whole idea that this is a reasonable subject to pursue is itself quite new, but the situation is not unprecedented. In the closing decades of the Nineteenth Century Maxwell had just proposed his equations which tied together electricity, magnetism, and light into one unified t ...
... quantum weirdness. The whole idea that this is a reasonable subject to pursue is itself quite new, but the situation is not unprecedented. In the closing decades of the Nineteenth Century Maxwell had just proposed his equations which tied together electricity, magnetism, and light into one unified t ...
5.11 Harmonic Oscillator
... Classically, half the photons should be detected at A, half at B. Experimentally, all of the photons reach A. The photon wave “travels” both paths at once, and interference at the second beamsplitter gives this result. The ability of a quantum system to contain information about many states simultae ...
... Classically, half the photons should be detected at A, half at B. Experimentally, all of the photons reach A. The photon wave “travels” both paths at once, and interference at the second beamsplitter gives this result. The ability of a quantum system to contain information about many states simultae ...
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.