ON THE FAITHFUL INTERPRETATION OF PURE WAVE
... the Wigner’s Friend story, then concludes from the story that “It is now clear that the interpretation of quantum mechanics with which we began [the standard von Neumann-Dirac collapse theory] is untenable if we are to consider a universe containing more than one observer. We must therefore seek a s ...
... the Wigner’s Friend story, then concludes from the story that “It is now clear that the interpretation of quantum mechanics with which we began [the standard von Neumann-Dirac collapse theory] is untenable if we are to consider a universe containing more than one observer. We must therefore seek a s ...
atom-ph/9606004 PDF
... (c) corresponding to an ensemble of coherent states j aei a i j bei b i j cei c i with uniformly distributed random phases a , b, and c . First, observation of intereferences between A and B in a single run will x the relative phase between A and B, = a b, and thus prepare the state j aei a ...
... (c) corresponding to an ensemble of coherent states j aei a i j bei b i j cei c i with uniformly distributed random phases a , b, and c . First, observation of intereferences between A and B in a single run will x the relative phase between A and B, = a b, and thus prepare the state j aei a ...
Quantum-Secure Message Authentication Codes
... security, we show that four-wise independence is sufficient. That is, a four-way independent hash family gives rise to an existentially unforgeable MAC under a one-time quantum chosen message attack. It is still an open problem whether three-way independence is sufficient. More generally, we show th ...
... security, we show that four-wise independence is sufficient. That is, a four-way independent hash family gives rise to an existentially unforgeable MAC under a one-time quantum chosen message attack. It is still an open problem whether three-way independence is sufficient. More generally, we show th ...
PDF
... channels. The problem of maintaining the coherence of quantum information as it is moved from atoms to photons, transported through space, and moved back from photons to atoms, is a difficult one. Exactly because quantum information provides additional opportunities for storing and processing inform ...
... channels. The problem of maintaining the coherence of quantum information as it is moved from atoms to photons, transported through space, and moved back from photons to atoms, is a difficult one. Exactly because quantum information provides additional opportunities for storing and processing inform ...
11 Selection Postulates and Probability Rules in the Problem of
... essentially linear. Therefore, having initial quantum system under measurement S in a state of superposition of some orthogonal eigenstates (say | Sa ñ and | Sb ñ ) and supposing the measurement process to be governed by the Shrödinder equation, we inevitably obtain that the final measurement state ...
... essentially linear. Therefore, having initial quantum system under measurement S in a state of superposition of some orthogonal eigenstates (say | Sa ñ and | Sb ñ ) and supposing the measurement process to be governed by the Shrödinder equation, we inevitably obtain that the final measurement state ...
Copyright c 2016 by Robert G. Littlejohn Physics 221A Fall 2016
... The wave function for a spinless particle in three dimensions can be written ψ(x) = hx|ψi, ...
... The wave function for a spinless particle in three dimensions can be written ψ(x) = hx|ψi, ...
Introduction to the Fractional Quantum Hall Effect
... independent of all microscopic details (including the precise value of the magnetic field). Associated with each of these plateaus is a dramatic decrease in the dissipative resistivity ρ xx −→ 0 which drops as much as 13 orders of magnitude in the plateau regions. Clearly the system is undergoing so ...
... independent of all microscopic details (including the precise value of the magnetic field). Associated with each of these plateaus is a dramatic decrease in the dissipative resistivity ρ xx −→ 0 which drops as much as 13 orders of magnitude in the plateau regions. Clearly the system is undergoing so ...
The quantum world is not built up from correlations - Philsci
... W . Of course Q̂ and R̂ must commute in order for the joint probability distribution to be well defined, but this is ensured since both operators are defined for different subsystems (with each their own Hilbert space) and are therefore commuting. Secondly, we choose the set of hidden variables to b ...
... W . Of course Q̂ and R̂ must commute in order for the joint probability distribution to be well defined, but this is ensured since both operators are defined for different subsystems (with each their own Hilbert space) and are therefore commuting. Secondly, we choose the set of hidden variables to b ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.