
The Quantum World
... take a philosophically realist view of the results of their researches; to suppose that they are finding out the way things are. When we are concerned with pre-quantum physics- with classical physics, as we say- that seems a particularly straightforward supposition. The ...
... take a philosophically realist view of the results of their researches; to suppose that they are finding out the way things are. When we are concerned with pre-quantum physics- with classical physics, as we say- that seems a particularly straightforward supposition. The ...
Operation of a quantum bit circuit based on the Cooper pair
... demonstrated. In this new circuit, the box Josephson junction is replaced by two junctions in parallel forming a loop. The advantage of this design is to provide separate ports for qubit manipulation and readout, and to efficiently decouple the qubit from its external environment when readout is off ...
... demonstrated. In this new circuit, the box Josephson junction is replaced by two junctions in parallel forming a loop. The advantage of this design is to provide separate ports for qubit manipulation and readout, and to efficiently decouple the qubit from its external environment when readout is off ...
From Cbits to Qbits: Teaching Computer Scientists Quantum Mechanics
... though quantum computation repeatedly exploits the most notoriously paradoxical features of the subject. There are three main reasons for this: First, a quantum computer — or, more accurately, the abstract quantum computer that one hopes some day to be able to realize — is an extremely simple exampl ...
... though quantum computation repeatedly exploits the most notoriously paradoxical features of the subject. There are three main reasons for this: First, a quantum computer — or, more accurately, the abstract quantum computer that one hopes some day to be able to realize — is an extremely simple exampl ...
ppt - Zettaflops
... –Estimating the state of a single qubit can be done efficiently –Then, if the Controlled-0-U and Controlled-1-V can be implemented efficiently … –… the (polynomial cost) quantum simulation (needed to create the input to this circuit) need only be repeated polynomially many times ...
... –Estimating the state of a single qubit can be done efficiently –Then, if the Controlled-0-U and Controlled-1-V can be implemented efficiently … –… the (polynomial cost) quantum simulation (needed to create the input to this circuit) need only be repeated polynomially many times ...
Single-Electron Capacitance Spectroscopy R. Ashoori Optics and Devices
... The principle focus of research in our laboratory lies in the study of interacting electronic systems in low dimensional semiconductor structures. Systems in which electrons exist purely in two or one dimensions and even small boxes (quantum dots) containing as few as one electron can now be produce ...
... The principle focus of research in our laboratory lies in the study of interacting electronic systems in low dimensional semiconductor structures. Systems in which electrons exist purely in two or one dimensions and even small boxes (quantum dots) containing as few as one electron can now be produce ...
... b) Initialization: this requirement indicates that it must be possible to place the quantum system in a fiducial starting quantum state. The idea is then to set the system in an “all spin down” configuration for a chain of nuclear spins. This can be prepared by cooling the system to its ground state ...
Realisation of a programmable two-qubit quantum processor
... between output state fidelity and input state, as demonstrated in Figure 3b,c. The mean output state fidelities from operating on the 16 input states are distributed with a standard deviation of 1.5 %, as we would expect for the means of 10 measurements which themselves have a standard deviation of ...
... between output state fidelity and input state, as demonstrated in Figure 3b,c. The mean output state fidelities from operating on the 16 input states are distributed with a standard deviation of 1.5 %, as we would expect for the means of 10 measurements which themselves have a standard deviation of ...
(pdf)
... used in quantum physics. We will denote a vector v in a vector space V by |vi. The inner product of two vectors v and w will be denoted by hv|wi.1 We can interpret a linear operator O either as simply acting on a vector v, as O|vi or by acting as hv|O† , where O† is the Hermitian adjoint to O. These ...
... used in quantum physics. We will denote a vector v in a vector space V by |vi. The inner product of two vectors v and w will be denoted by hv|wi.1 We can interpret a linear operator O either as simply acting on a vector v, as O|vi or by acting as hv|O† , where O† is the Hermitian adjoint to O. These ...
Uncertainty Principle Tutorial part II
... If two operators are incompatible, measuring an observable corresponding to one operator will affect the probability of measuring the observable corresponding to the other operator. We can find a complete set of simultaneous eigenstates for compatible operators. We cannot find a complete set of simu ...
... If two operators are incompatible, measuring an observable corresponding to one operator will affect the probability of measuring the observable corresponding to the other operator. We can find a complete set of simultaneous eigenstates for compatible operators. We cannot find a complete set of simu ...
Wissink P640 – Subatomic Physics I Fall 2007 Problem Set # 1
... here as well for the 2π decay, so we must require the two outgoing pions couple to isospin Itot = 1. But the ω, unlike the ρ, is an isospin-0 particle, so the decay ω 0 → π π (for either charged or neutral pions) has I = 0 in the initial state and must have I = 1 in the final state ⇒ can’t proceed. ...
... here as well for the 2π decay, so we must require the two outgoing pions couple to isospin Itot = 1. But the ω, unlike the ρ, is an isospin-0 particle, so the decay ω 0 → π π (for either charged or neutral pions) has I = 0 in the initial state and must have I = 1 in the final state ⇒ can’t proceed. ...
aps13-bohr - Caltech Particle Theory
... Bohr’s discussions with Schrödinger began at the railway station and continued daily from early morning until late at night. Schrödinger stayed at Bohr’s house so that nothing would interrupt the conversations … After a few days, Schrödinger fell ill, perhaps as a result of his enormous effort; in a ...
... Bohr’s discussions with Schrödinger began at the railway station and continued daily from early morning until late at night. Schrödinger stayed at Bohr’s house so that nothing would interrupt the conversations … After a few days, Schrödinger fell ill, perhaps as a result of his enormous effort; in a ...
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.