E.T.WHITTAKER`S QUANTUM FORMALISM
... effort to understand earlier work by Dirac and subsequent work by Feynman and Schwinger, so had written an account of Whittaker’s work into my research notes of the period. In the spring of I revisited the subject, and wrote the material which can be found on pages 68–83 in Chapter 3 of my quant ...
... effort to understand earlier work by Dirac and subsequent work by Feynman and Schwinger, so had written an account of Whittaker’s work into my research notes of the period. In the spring of I revisited the subject, and wrote the material which can be found on pages 68–83 in Chapter 3 of my quant ...
Information and Entropy in Neural Networks and Interacting Systems
... α, β, γ and δ waves can indicate the overall state of alertness of a human being. Artificial neural networks (ANN) may also try to mimic these features, as in many cases it may be more convenient than a simple sequential set of one-time transformations. Short-term memory, in particular is refreshed ...
... α, β, γ and δ waves can indicate the overall state of alertness of a human being. Artificial neural networks (ANN) may also try to mimic these features, as in many cases it may be more convenient than a simple sequential set of one-time transformations. Short-term memory, in particular is refreshed ...
Entanglement Theory and the Second Law of Thermodynamics
... of copies n may generate a small amount ǫn of entanglement which vanishes asymptotically, limn→∞ ǫn = 0. It is important to note that we do not simply require that the entanglement per copy vanishes but actually the total amount of entanglement. More precisely, we call a quantum operation Ω a ǫ-non- ...
... of copies n may generate a small amount ǫn of entanglement which vanishes asymptotically, limn→∞ ǫn = 0. It is important to note that we do not simply require that the entanglement per copy vanishes but actually the total amount of entanglement. More precisely, we call a quantum operation Ω a ǫ-non- ...
Colloquium: Multiparticle quantum superpositions and the quantum
... an entangled photon pair is created by a nonlinear optical process; then one photon of the pair is injected into an optical parametric amplifier operating for any input polarization state (De Martini, Sciarrino, and Vitelli, 2008, 2009a). Such a transformation establishes a connection between the si ...
... an entangled photon pair is created by a nonlinear optical process; then one photon of the pair is injected into an optical parametric amplifier operating for any input polarization state (De Martini, Sciarrino, and Vitelli, 2008, 2009a). Such a transformation establishes a connection between the si ...
A continued fraction resummation form of bath
... quantum dissipation can lead to rich quantum phenomena, e.g., quantum phase transition.1 The spin-boson (CaldeiraLeggett) model is a simple but fundamental quantum system, which can be used to interpret the quantum tunneling and localization in macroscopic systems.2,3 Gate operations in quantum comp ...
... quantum dissipation can lead to rich quantum phenomena, e.g., quantum phase transition.1 The spin-boson (CaldeiraLeggett) model is a simple but fundamental quantum system, which can be used to interpret the quantum tunneling and localization in macroscopic systems.2,3 Gate operations in quantum comp ...
Chapter 5 Quantum Information Theory
... quantum computation), I won’t be able to cover this subject in as much depth as I would have liked. We will settle for a brisk introduction to some of the main ideas and results. The lectures will perhaps be sketchier than in the first term, with more hand waving and more details to be filled in thr ...
... quantum computation), I won’t be able to cover this subject in as much depth as I would have liked. We will settle for a brisk introduction to some of the main ideas and results. The lectures will perhaps be sketchier than in the first term, with more hand waving and more details to be filled in thr ...
QUANTUM MONTE CARLO SIMULATION OF TUNNELLING DEVICES USING WAVEPACKETS AND BOHM TRAJECTORIES
... The current^voltage characteristic of a RTD is easily understood if we note that the quantum well acts like the typical 'one dimensional quantum box': the electron energies associated to perpendicular transport inside the quantum well can only take several discrete values. Let us assume that the qua ...
... The current^voltage characteristic of a RTD is easily understood if we note that the quantum well acts like the typical 'one dimensional quantum box': the electron energies associated to perpendicular transport inside the quantum well can only take several discrete values. Let us assume that the qua ...
Quantum Computation, Quantum Theory and AI
... 20th century and the new subject of quantum computation was born. Quantum computers were first envisaged by Nobel Laureate physicist Feynman [47] in 1982. He conceived that no classical computer could simulate certain quantum phenomena without an exponential slowdown, and so realized that quantum me ...
... 20th century and the new subject of quantum computation was born. Quantum computers were first envisaged by Nobel Laureate physicist Feynman [47] in 1982. He conceived that no classical computer could simulate certain quantum phenomena without an exponential slowdown, and so realized that quantum me ...
The Free Particle (PowerPoint)
... The dual nature of matter (Quick Time movie 9 MB from Wilson group, *** ) Linear polarized light ( a wave function in 1-D would propagate in a similar way) (1 MB Quick time movie from the Wilson Group, *****) Circular polarized light ( ( a wave function could propagate in a similar way) (6 MB Quick ...
... The dual nature of matter (Quick Time movie 9 MB from Wilson group, *** ) Linear polarized light ( a wave function in 1-D would propagate in a similar way) (1 MB Quick time movie from the Wilson Group, *****) Circular polarized light ( ( a wave function could propagate in a similar way) (6 MB Quick ...
Single-Photon Bus between Spin-Wave Quantum Memories.
... weakly illuminated with light, the detection (by a single-photon counting module) of a randomly emitted spontaneous Raman ‘write’ photon leaving the resonator heralds the creation of a quantized spin excitation (spin Dicke state12,26 or magnon19 ) inside the ensemble. In the following, all quantitie ...
... weakly illuminated with light, the detection (by a single-photon counting module) of a randomly emitted spontaneous Raman ‘write’ photon leaving the resonator heralds the creation of a quantized spin excitation (spin Dicke state12,26 or magnon19 ) inside the ensemble. In the following, all quantitie ...
Post-quantum Security of the CBC, CFB, OFB, CTR
... 2 . Thus, all we need to show is that replacing one block of the challenge ciphertext by randomness leads to a negligible change in the advantage of the adversary. The situation is depicted in Figure 1 (b). – Say we want to show that c2 = H(m2 ⊕ c1 ) is indistinguishable from random (the situation i ...
... 2 . Thus, all we need to show is that replacing one block of the challenge ciphertext by randomness leads to a negligible change in the advantage of the adversary. The situation is depicted in Figure 1 (b). – Say we want to show that c2 = H(m2 ⊕ c1 ) is indistinguishable from random (the situation i ...
Models of quantum computation and quantum programming
... thus they must be taken into account when designing future computers. Quantum computation aims not only at taking them into account, but also at developing methods for controlling them. Quantum algorithms and protocols are recipes how one should control quantum system to achieve higher efficiency. I ...
... thus they must be taken into account when designing future computers. Quantum computation aims not only at taking them into account, but also at developing methods for controlling them. Quantum algorithms and protocols are recipes how one should control quantum system to achieve higher efficiency. I ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.