Path Integral studies of quantum systems at finite temperatures Sergei Dmitrievich Ivanov
... scientific investigations in physics, chemistry and biology can not be imagined without computers. In particular, besides solving equations numerically, computers allow to model systems of interest directly, creating a bridge between the theory and experiment. For instance, consider a molecular syst ...
... scientific investigations in physics, chemistry and biology can not be imagined without computers. In particular, besides solving equations numerically, computers allow to model systems of interest directly, creating a bridge between the theory and experiment. For instance, consider a molecular syst ...
Quantum Public-Key Cryptosystems
... 3 [Knapsack-type cryptosystems] The subset-sum (or subset-product) problems are typical NP-hard problems. Knapsack-type cryptosystems are based on theses problems. The proposed scheme is a knapsack-type cryptosystem, and is closely related to the Merkle–Hellman “multiplicative” trapdoor knapsack sch ...
... 3 [Knapsack-type cryptosystems] The subset-sum (or subset-product) problems are typical NP-hard problems. Knapsack-type cryptosystems are based on theses problems. The proposed scheme is a knapsack-type cryptosystem, and is closely related to the Merkle–Hellman “multiplicative” trapdoor knapsack sch ...
LiNaK: Multi-Species Apparatus for the Study of Ultracold Quantum Degenerate Mixtures
... There is a long list of people who I have interacted with in the CUA hallway, who I would like to acknowledge. Most importantly, our fellow mates in the BEC experiments and the new Fermi 2. Ariel Sommer is always a source of inspiration for the great work he does, only comparable to the meticulous a ...
... There is a long list of people who I have interacted with in the CUA hallway, who I would like to acknowledge. Most importantly, our fellow mates in the BEC experiments and the new Fermi 2. Ariel Sommer is always a source of inspiration for the great work he does, only comparable to the meticulous a ...
On Quantum vs. Classical Communication Complexity
... All communication models that we have seen can be “augmented” by allowing Alice and Bob (but not the referee) to use shared randomness, or even shared entanglement. Shared randomness matters only in the SMP regime, as O(log n) shared random bits are always sufficient. We do not have, as of today, an ...
... All communication models that we have seen can be “augmented” by allowing Alice and Bob (but not the referee) to use shared randomness, or even shared entanglement. Shared randomness matters only in the SMP regime, as O(log n) shared random bits are always sufficient. We do not have, as of today, an ...
Andy Schoefield`s review on Non
... m ixing of all the eigenstates of the original unperturbed problem. How ever the num ber of nodes still rem ains a good w ay of labelling the eigenstates of the more com plicated problem. This is the essence of adiabatic continuity. Landau applied this idea to the interacting gas of electrons. He im ...
... m ixing of all the eigenstates of the original unperturbed problem. How ever the num ber of nodes still rem ains a good w ay of labelling the eigenstates of the more com plicated problem. This is the essence of adiabatic continuity. Landau applied this idea to the interacting gas of electrons. He im ...
Quantum Algorithm to Solve a Maze: Converting Maze Problem into
... decision, we have a choice of going up or going down, and that is represented with a 1 or a 0. The advantage of the quantum computer is that we can simultaneously travel up and down at the same time [3]. Along those lines, the 1s and 0s of the qubit represent each possible decision. The third step p ...
... decision, we have a choice of going up or going down, and that is represented with a 1 or a 0. The advantage of the quantum computer is that we can simultaneously travel up and down at the same time [3]. Along those lines, the 1s and 0s of the qubit represent each possible decision. The third step p ...
Complete Axiomatizations for Quantum Actions
... F = (Σ, {→}P ∈L , {→}U ∈U ), satisfying the following list of conditions (in which 8 We call them “basic” since they might not be closed under composition; in a Hilbert space, the composition of two unitary maps is unitary, but here it is possible to think of U of consisting of only some basic logic ...
... F = (Σ, {→}P ∈L , {→}U ∈U ), satisfying the following list of conditions (in which 8 We call them “basic” since they might not be closed under composition; in a Hilbert space, the composition of two unitary maps is unitary, but here it is possible to think of U of consisting of only some basic logic ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.