The Emergence and Interpretation of Probability
... classical mechanics” (1949, p. 672). Since Bohmian mechanics is a deterministic and more fundamental theory than quantum mechanics, it is in the perfect position to realize this goal. Let’s see how, first by comparing Bohmian mechanics with classical mechanics, and then by comparing quantum mechanic ...
... classical mechanics” (1949, p. 672). Since Bohmian mechanics is a deterministic and more fundamental theory than quantum mechanics, it is in the perfect position to realize this goal. Let’s see how, first by comparing Bohmian mechanics with classical mechanics, and then by comparing quantum mechanic ...
Decoherence in Solid State Qubits
... rate |β|2 . In which case the two logical states are the spin up | ↑i and the spin down | ↓i. The two states |0i and |1i form a basis of the Hilbert space H = span{|0i, |1i} of the qubit. A good example of a qubit is the spin 1/2. In order to explain the necessity to use complex number α and β to ch ...
... rate |β|2 . In which case the two logical states are the spin up | ↑i and the spin down | ↓i. The two states |0i and |1i form a basis of the Hilbert space H = span{|0i, |1i} of the qubit. A good example of a qubit is the spin 1/2. In order to explain the necessity to use complex number α and β to ch ...
85, 155302 (2012)
... We consider an alternative route to identifying the TQCP: an ac measurement. For the sake of definiteness, we consider below (Fig. 2) the ac conductivity across a 1D nanowire contacted by s-wave superconducting leads which produces the proximity effect. For ac conductivity measurements, depending on ...
... We consider an alternative route to identifying the TQCP: an ac measurement. For the sake of definiteness, we consider below (Fig. 2) the ac conductivity across a 1D nanowire contacted by s-wave superconducting leads which produces the proximity effect. For ac conductivity measurements, depending on ...
Probability in Bohmian Mechanics[1]
... then advertised as simply the problem of finding some reason to think (q,t) = |(q,t)|2 at some time or other, for one is then guaranteed that it will always hold. However, despite being repeated many times, this way of putting matters is misleading.4 What we want explained is why a system of parti ...
... then advertised as simply the problem of finding some reason to think (q,t) = |(q,t)|2 at some time or other, for one is then guaranteed that it will always hold. However, despite being repeated many times, this way of putting matters is misleading.4 What we want explained is why a system of parti ...
Theory and experimental verification of Kapitza-Dirac-Talbot
... of matter waves. While clean solid surfaces and bulk crystal structures are well-adapted to the diffraction of electrons and neutrons with de Broglie wavelengths in the range of 1..1000 pm, it is often necessary to tailor the beam splitters, lenses, and wave guides to the specific particle propertie ...
... of matter waves. While clean solid surfaces and bulk crystal structures are well-adapted to the diffraction of electrons and neutrons with de Broglie wavelengths in the range of 1..1000 pm, it is often necessary to tailor the beam splitters, lenses, and wave guides to the specific particle propertie ...
Research Proposal for a Quantum Computer Programming
... classical world, given the state of a system and the forces acting upon it we can predict with certainty its future state. For example, if one throws a ball up into the air with a certain amount of force, one can predict how long it will take to fall back to Earth. In this view of the world things a ...
... classical world, given the state of a system and the forces acting upon it we can predict with certainty its future state. For example, if one throws a ball up into the air with a certain amount of force, one can predict how long it will take to fall back to Earth. In this view of the world things a ...
Introduction to Quantum Information
... Shannon’s source coding theorem: the compression rate of H(X ) bits per symbol produced by a source of i.i.d. random variables is optimal. The Shannon entropy H(X ) is a measure of the minimal physical resources, in terms of the average number of bits per symbol, that are necessary and sufficient to ...
... Shannon’s source coding theorem: the compression rate of H(X ) bits per symbol produced by a source of i.i.d. random variables is optimal. The Shannon entropy H(X ) is a measure of the minimal physical resources, in terms of the average number of bits per symbol, that are necessary and sufficient to ...
Geometry of entangled states, Bloch spheres and Hopf fibrations R´emy Mosseri
... The projective Hilbert space for two non-entangled qubits A and B is expected to be the product of two two-dimensional spheres SA2 × SB2 , each sphere being the Bloch sphere associated with the given qubit. This property is clearly displayed here. The unit S 4 base space reduces in a unit S 2 sphere ...
... The projective Hilbert space for two non-entangled qubits A and B is expected to be the product of two two-dimensional spheres SA2 × SB2 , each sphere being the Bloch sphere associated with the given qubit. This property is clearly displayed here. The unit S 4 base space reduces in a unit S 2 sphere ...
Some Problems in Quantum Information Theory
... we assume ψ is a unit vector so that j |pj |2 = 1. (2) an index j is chosen at random with probability |pj |2 (3) our measurement returns only the index j (4) and the state collapses to vj . William J. Martin ...
... we assume ψ is a unit vector so that j |pj |2 = 1. (2) an index j is chosen at random with probability |pj |2 (3) our measurement returns only the index j (4) and the state collapses to vj . William J. Martin ...
PROJECTIVE AND CONFORMAL STRUCTURES IN GENERAL
... between formalism and observation’; its aim is to shed light on the physical implications of any formalism: the possibility of formally defining any physically significant quantity should coincide with the possibility of measuring it in principle; i.e., by means of some idealized measurement procedu ...
... between formalism and observation’; its aim is to shed light on the physical implications of any formalism: the possibility of formally defining any physically significant quantity should coincide with the possibility of measuring it in principle; i.e., by means of some idealized measurement procedu ...
Charge Relaxation and Dephasing in Coulomb Coupled Conductors
... To relate the voltage fluctuation spectra to the dephasing rate we follow Levinson [4]. A carrier in conductor 1 moves in the fluctuating potential U1 . As a consequence the phase of the carrier is not sharp but on the R t average determined by hexp(i(φ̂(t)−φ̂(0))i = hT̂ exp(i 0 dt′ Û1 (t′ ))i. Ass ...
... To relate the voltage fluctuation spectra to the dephasing rate we follow Levinson [4]. A carrier in conductor 1 moves in the fluctuating potential U1 . As a consequence the phase of the carrier is not sharp but on the R t average determined by hexp(i(φ̂(t)−φ̂(0))i = hT̂ exp(i 0 dt′ Û1 (t′ ))i. Ass ...
Mechanical Proof of the Second Law of Thermodynamics Based on
... In a previous work (M. Campisi. Stud. Hist. Phil. M. P. 36 (2005) 275-290) we have addressed the mechanical foundations of equilibrium thermodynamics on the basis of the Generalized Helmholtz Theorem. It was found that the volume entropy provides a good mechanical analogue of thermodynamic entropy b ...
... In a previous work (M. Campisi. Stud. Hist. Phil. M. P. 36 (2005) 275-290) we have addressed the mechanical foundations of equilibrium thermodynamics on the basis of the Generalized Helmholtz Theorem. It was found that the volume entropy provides a good mechanical analogue of thermodynamic entropy b ...
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).