Quantum Entanglement: An Exploration of a Weird Phenomenon 1
... represented a threat to determinism, which had been the ultimate criterion for science. However, over the years, quantum mechanics has shown that it is the best candidate to describe the subatomic world even though its phenomena contradict humans’ most intuitive understanding of their physical world ...
... represented a threat to determinism, which had been the ultimate criterion for science. However, over the years, quantum mechanics has shown that it is the best candidate to describe the subatomic world even though its phenomena contradict humans’ most intuitive understanding of their physical world ...
Applications of Quantum Field Theory in Condensed Matter
... Quantum field theory, since its birth, has been the basic framework for describing the physics of elementary particles and their interactions. Firstly, its success in quantum electrodynamics has been enormous, leading to the best theoretical predictions of the whole physics. Later on, use of quantum ...
... Quantum field theory, since its birth, has been the basic framework for describing the physics of elementary particles and their interactions. Firstly, its success in quantum electrodynamics has been enormous, leading to the best theoretical predictions of the whole physics. Later on, use of quantum ...
Chapter 1 Review of Quantum Mechanics
... with notation (qx , qy , qz ) = (x, y, z) = r, and q̇i ≡ dqi /dt etc.. In Quantum Mechanics, the state of motion for a particle is NOT specified by its position and momentum. In fact, the position and momentum can not be precisely determined simultaneously. Instead, the state of motion for a quantum ...
... with notation (qx , qy , qz ) = (x, y, z) = r, and q̇i ≡ dqi /dt etc.. In Quantum Mechanics, the state of motion for a particle is NOT specified by its position and momentum. In fact, the position and momentum can not be precisely determined simultaneously. Instead, the state of motion for a quantum ...
Measurement-based and Universal Blind Quantum Computation
... • when two quantum systems are combined, the state space of the composite system is obtained as the tensor product of the state spaces of the individual systems, and • the evolution of a quantum system is given by a unitary operator, and • the effect of a measurement is indeterminate. The first say ...
... • when two quantum systems are combined, the state space of the composite system is obtained as the tensor product of the state spaces of the individual systems, and • the evolution of a quantum system is given by a unitary operator, and • the effect of a measurement is indeterminate. The first say ...
Quantum Channels, Kraus Operators, POVMs
... • Think of a quantum channel as a pipe through which one transmits a spin-half particle, thus (in its spin degree of freedom) a single qubit. Small magnetic fields inside the pipe may perturb the information carrier, or it may bump into something else in the pipe. This will produce noise. • An alter ...
... • Think of a quantum channel as a pipe through which one transmits a spin-half particle, thus (in its spin degree of freedom) a single qubit. Small magnetic fields inside the pipe may perturb the information carrier, or it may bump into something else in the pipe. This will produce noise. • An alter ...
There can be only one
... a state with principal quantum number 80 at a distance of 5 μm is of the order of a few hundred MHz.) The Rydberg excitation blockade was first observed in ultracold gases5,6, and has been recently demonstrated most spectacularly in a dense gas near quantum degeneracy, where thousands of atoms were ...
... a state with principal quantum number 80 at a distance of 5 μm is of the order of a few hundred MHz.) The Rydberg excitation blockade was first observed in ultracold gases5,6, and has been recently demonstrated most spectacularly in a dense gas near quantum degeneracy, where thousands of atoms were ...
teacher`s notes
... It assumes that students are familiar with what happens when quantum particles - not waves -go through a double slit. It also assumes that they are familiar with the nuclear model of matter, alpha particles and isotopes. The lesson is best done in pairs or small groups with whiteboards. Give the stu ...
... It assumes that students are familiar with what happens when quantum particles - not waves -go through a double slit. It also assumes that they are familiar with the nuclear model of matter, alpha particles and isotopes. The lesson is best done in pairs or small groups with whiteboards. Give the stu ...
Quantum Control in Cold Atom Systems
... • Same theory studied earlier in context of QH-Insulator transition on a lattice; nature of transition controversial: Large-N limit suggests 2nd order transition with θ’-dependent critical behavior (Wen and Wu 92, Chen, Fisher and Wu 93); while Pryadko and Zhang (94) found fluctuation-driven 1st ord ...
... • Same theory studied earlier in context of QH-Insulator transition on a lattice; nature of transition controversial: Large-N limit suggests 2nd order transition with θ’-dependent critical behavior (Wen and Wu 92, Chen, Fisher and Wu 93); while Pryadko and Zhang (94) found fluctuation-driven 1st ord ...
In class exercises 3
... system and an ideal gas, by slowly and reversibly turning off the interactions between the particles, measuring the entropy flow into or out of the system. Thus, setting the zero of entropy for the ideal gas sets it for all systems. ...
... system and an ideal gas, by slowly and reversibly turning off the interactions between the particles, measuring the entropy flow into or out of the system. Thus, setting the zero of entropy for the ideal gas sets it for all systems. ...
Fault-Tolerant Quantum Computation and the Threshold Theorem
... can be made, but it is important to know what current methods can and cannot deal with. Of course it is a matter of physics and of engineering to determine which assumptions actually matter. Noise Model A particular model (or models) of noise is assumed for all proofs and heuristic methods for the t ...
... can be made, but it is important to know what current methods can and cannot deal with. Of course it is a matter of physics and of engineering to determine which assumptions actually matter. Noise Model A particular model (or models) of noise is assumed for all proofs and heuristic methods for the t ...
preskill-ARO-2013 - Caltech Particle Theory
... For reliable quantum computing, we need not just very stable qubits, but also the ability to apply very accurate nontrivial quantum gates to the qubits. Accurate (Clifford group) phase gates can be applied to 0-Pi qubits by turning on and off the coupling between a qubit (or pair of qubits) and a ha ...
... For reliable quantum computing, we need not just very stable qubits, but also the ability to apply very accurate nontrivial quantum gates to the qubits. Accurate (Clifford group) phase gates can be applied to 0-Pi qubits by turning on and off the coupling between a qubit (or pair of qubits) and a ha ...
quantum computer - Caltech Particle Theory
... best possible knowledge of a whole does not necessarily include the best possible knowledge of its parts … I would not call that one but rather the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought… By the interaction the two repres ...
... best possible knowledge of a whole does not necessarily include the best possible knowledge of its parts … I would not call that one but rather the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought… By the interaction the two repres ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).