On Quantum Generalizations of Information
... If p(xi , yj ) = p(xi ) × p(yj ) for all i, j then p(xi , yj ) is merely a “product distribution”. In this case there is no correlation among X and Y and the mutual information is 0 (the logarithm’s value in Equation 14 vanishes). However, if X and Y are in the least correlated, then I(X; Y ) is pos ...
... If p(xi , yj ) = p(xi ) × p(yj ) for all i, j then p(xi , yj ) is merely a “product distribution”. In this case there is no correlation among X and Y and the mutual information is 0 (the logarithm’s value in Equation 14 vanishes). However, if X and Y are in the least correlated, then I(X; Y ) is pos ...
Elements of Quantum Mechanics and the H Atom
... have experienced quantum mechanics up to now only as compulsory mathematical exercise may perhaps read this chapter with advantage and find it helpful to approach the indispensable instruments without big formal hurdles. In Sects. 2.1–2.3 we summarize a minimum of formalism. Section 2.4 treats as a ...
... have experienced quantum mechanics up to now only as compulsory mathematical exercise may perhaps read this chapter with advantage and find it helpful to approach the indispensable instruments without big formal hurdles. In Sects. 2.1–2.3 we summarize a minimum of formalism. Section 2.4 treats as a ...
Energy Level Crossing and Entanglement
... (respectively 3) in the space of all real symmetric matrices (respectively all hermitian matrices). This implies the famous “non-crossing rule” which asserts that a “generic” one parameter family of real symmetric matrices (or two-parameter family of hermitian matrices) contains no matrix with multi ...
... (respectively 3) in the space of all real symmetric matrices (respectively all hermitian matrices). This implies the famous “non-crossing rule” which asserts that a “generic” one parameter family of real symmetric matrices (or two-parameter family of hermitian matrices) contains no matrix with multi ...
A paradox in quantum measurement theory - Philsci
... absolute frame of reference would be required to interpret the measurement process. If real, they would represent a real non-local causation, not merely the usual non-local correlations found in quantum mechanics. In fact, such effects would make ordinary quantum measurement theory inconsistent. But ...
... absolute frame of reference would be required to interpret the measurement process. If real, they would represent a real non-local causation, not merely the usual non-local correlations found in quantum mechanics. In fact, such effects would make ordinary quantum measurement theory inconsistent. But ...
Heat Engine Driven by Purely Quantum Information
... in thermodynamics, and devised his famous demon who might violate the second law of thermodynamics [1]. Szilard then proposed a simple physical model to realize Maxwell’s demon, and claimed that information should play a role of physical entropy unless the second law is wrong [2]. Now it is widely a ...
... in thermodynamics, and devised his famous demon who might violate the second law of thermodynamics [1]. Szilard then proposed a simple physical model to realize Maxwell’s demon, and claimed that information should play a role of physical entropy unless the second law is wrong [2]. Now it is widely a ...
Word
... It is generally no longer consistent to talk of individual entities possessing a value for an observable: it is more as if the property concerned is latent in the system until such time as an observation brings it into being. As John Bell has put it, "beables" are replaced by "observables," and the ...
... It is generally no longer consistent to talk of individual entities possessing a value for an observable: it is more as if the property concerned is latent in the system until such time as an observation brings it into being. As John Bell has put it, "beables" are replaced by "observables," and the ...
Quantum graphs and the integer quantum Hall effect
... Quantum graphs have been the focus of much interest during the last thirty years [1–3]. These models which describe the propagation of a quantum wave within an arbitrary complex object are extremely versatile allowing the study of various interesting quantum phenomena. Quantum graphs appear in vario ...
... Quantum graphs have been the focus of much interest during the last thirty years [1–3]. These models which describe the propagation of a quantum wave within an arbitrary complex object are extremely versatile allowing the study of various interesting quantum phenomena. Quantum graphs appear in vario ...
Derivation of the Equation E=mc2-v4
... , the work-energy theorem and on Newton's second law of motion. This derivation can be found in most books dealing with special relativity. It is worthy to remark that we derived Einstein's equation without using the above law. So we have also proved that this law, along with the other above mention ...
... , the work-energy theorem and on Newton's second law of motion. This derivation can be found in most books dealing with special relativity. It is worthy to remark that we derived Einstein's equation without using the above law. So we have also proved that this law, along with the other above mention ...
The quantum does not reduce to discrete bits
... fundamentals in order to explain how the bits arise, and why probability is just an interpretation. The core of the theory of quantum mechanics is an algebra of observables. These include position coordinates, momentum, energy, spin, electric charge, and anything else that is measurable as a real va ...
... fundamentals in order to explain how the bits arise, and why probability is just an interpretation. The core of the theory of quantum mechanics is an algebra of observables. These include position coordinates, momentum, energy, spin, electric charge, and anything else that is measurable as a real va ...
Abstraction as * file
... space. In this process the heat diffusion is considered only along momenta. We write down the modified Kramers equation describing this situation. In this model, the usual quantum description arises as asymptotics of this process for large values of resistance of the medium per unit of mass of parti ...
... space. In this process the heat diffusion is considered only along momenta. We write down the modified Kramers equation describing this situation. In this model, the usual quantum description arises as asymptotics of this process for large values of resistance of the medium per unit of mass of parti ...
Towards Fully Quantum Mechanical 3D Device Simulations
... However, we note that the current is directly proportional to the mobility in our model; changing the mobility (that we treat as constant in this example) therefore changes the value of the current but does not affect the electron density or potential profile. In Fig. 2 we show results for a Si-SiO2 ...
... However, we note that the current is directly proportional to the mobility in our model; changing the mobility (that we treat as constant in this example) therefore changes the value of the current but does not affect the electron density or potential profile. In Fig. 2 we show results for a Si-SiO2 ...
Quantum Interference 3 Claude Cohen-Tannoudji Scott Lectures Cambridge, March 9
... This result can be extended to any quantum device which could be introduced for determining the path of the atom. If the device is efficient, i.e. if its two final states are different, the interference fringes disappear. One cannot observe fringes and simultaneously know the path of the atom Illust ...
... This result can be extended to any quantum device which could be introduced for determining the path of the atom. If the device is efficient, i.e. if its two final states are different, the interference fringes disappear. One cannot observe fringes and simultaneously know the path of the atom Illust ...
Metric fluctuations and decoherence
... The decoherence time depends strongly on the scale of the energy difference E. For example, E = 1eV gives a decoherence time of the order of 1013 s, while E = 1MeV leads to a decoherence time of the order of 10 s. 5. Summary and discussion In [7] we showed that a fluctuating spacetime metric woul ...
... The decoherence time depends strongly on the scale of the energy difference E. For example, E = 1eV gives a decoherence time of the order of 1013 s, while E = 1MeV leads to a decoherence time of the order of 10 s. 5. Summary and discussion In [7] we showed that a fluctuating spacetime metric woul ...
Limitations to the superposition principle: Superselection rules in
... But, despite being fundamental it is easy to realize that the superposition principle cannot hold unrestricted in every situation. Just think of photons and electrons, then not mattering what we have just said about linearity and the superposition principle, no one has ever made sense of any superpo ...
... But, despite being fundamental it is easy to realize that the superposition principle cannot hold unrestricted in every situation. Just think of photons and electrons, then not mattering what we have just said about linearity and the superposition principle, no one has ever made sense of any superpo ...
Realisation of a programmable two-qubit quantum processor
... Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA The universal quantum computer[1] is a device capable of simulating any physical system[2] and represents a major goal for the field of quantum information science. Algorithms performed on such ...
... Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA The universal quantum computer[1] is a device capable of simulating any physical system[2] and represents a major goal for the field of quantum information science. Algorithms performed on such ...
FUNDAMENTAL ASPECTS OF STATISTICAL PHYSICS AND
... A quantum computer is a device that performs operations according to the rules of quantum theory. There are various types of quantum computers of which nowadays the two most important ones considered for practical realization are the circuit-model quantum computer and the quantum annealer. Practical ...
... A quantum computer is a device that performs operations according to the rules of quantum theory. There are various types of quantum computers of which nowadays the two most important ones considered for practical realization are the circuit-model quantum computer and the quantum annealer. Practical ...
