Deutsch`s Algorithm
... is often faster and more intuitive but it is better to check using matrices because you likely can make errors ...
... is often faster and more intuitive but it is better to check using matrices because you likely can make errors ...
Resource Letter SPE-1: Single-Photon Experiments in the Undergraduate Laboratory
... spie.org/x102158.xml]. This article presents new experimental arrangements and data for undergraduate labs with correlated photons that are complementary to Refs. 3 and 4. (I) “Ghost imaging: Open secrets and puzzles for undergraduates,” L. Basano and P. Ottonello, Am. J. Phys. 75, 343–351 (2007). T ...
... spie.org/x102158.xml]. This article presents new experimental arrangements and data for undergraduate labs with correlated photons that are complementary to Refs. 3 and 4. (I) “Ghost imaging: Open secrets and puzzles for undergraduates,” L. Basano and P. Ottonello, Am. J. Phys. 75, 343–351 (2007). T ...
Ultimate Intelligence Part I: Physical Completeness and Objectivity
... The computable pdf model is a good abstraction of the observations in quantum mechanics (QM). In QM, the wave function itself has finite description (finite entropy), with unitary (deterministic) evolution, while the observations (measurements) are stochastic. Solomonoff induction is complete with r ...
... The computable pdf model is a good abstraction of the observations in quantum mechanics (QM). In QM, the wave function itself has finite description (finite entropy), with unitary (deterministic) evolution, while the observations (measurements) are stochastic. Solomonoff induction is complete with r ...
Gibbs' paradox and black-hole entropy
... knowledge only about the pressure and the temperature, but with no information about the exact value of N ), one finds the exact result ∆S = 0 upon removing the partition. It is important to emphasize in this connection the important difference between identity and indistinguishability [9]. In class ...
... knowledge only about the pressure and the temperature, but with no information about the exact value of N ), one finds the exact result ∆S = 0 upon removing the partition. It is important to emphasize in this connection the important difference between identity and indistinguishability [9]. In class ...
Distinguishing mixed quantum states: Minimum
... Stimulated by the rapid developments in quantum communication and quantum cryptography, the question as to how to optimally discriminate between different quantum states has gained renewed interest [1]. The problem is to determine the actual state of a quantum system that is prepared, with given pri ...
... Stimulated by the rapid developments in quantum communication and quantum cryptography, the question as to how to optimally discriminate between different quantum states has gained renewed interest [1]. The problem is to determine the actual state of a quantum system that is prepared, with given pri ...
Isolation of the Conceptual Ingredients of Quantum Theory by Toy
... a Quantum Field Theory and as such is a marriage of Quantum Theory with Special Relativity: for it is Special Relativity with which Quantum Theory has the biggest disagreement. In a famous paper [10] Einstein, Podolsky and Rosen put forward an argument that Quantum Mechanics is incomplete, and reall ...
... a Quantum Field Theory and as such is a marriage of Quantum Theory with Special Relativity: for it is Special Relativity with which Quantum Theory has the biggest disagreement. In a famous paper [10] Einstein, Podolsky and Rosen put forward an argument that Quantum Mechanics is incomplete, and reall ...
quantum computer - Caltech Particle Theory
... and he might learn something about the color of the ball in that box, this information does not tell him anything about the encoded qubit. Therefore the damage is reversible. ...
... and he might learn something about the color of the ball in that box, this information does not tell him anything about the encoded qubit. Therefore the damage is reversible. ...
In the early 1930s, the relativistic electron
... process in all space-time. The ‘virtual’ label attached to the photon is related to two things. One is that in the space-time points where the photon is created or annihilated we have conservation of energy and momentum between the photon and the electrons. But the energymomentum relation for the vi ...
... process in all space-time. The ‘virtual’ label attached to the photon is related to two things. One is that in the space-time points where the photon is created or annihilated we have conservation of energy and momentum between the photon and the electrons. But the energymomentum relation for the vi ...
Crystallization of strongly interacting photons in a nonlinear optical fiber
... The 2kF oscillations are a direct manifestation of ‘fermionization’ of bosons. The Friedel oscillations represent more than simple antibunching in that they indicate real crystal correlations. In particular, we cannot predict the position of an individual photon, but, knowing the position of one, ot ...
... The 2kF oscillations are a direct manifestation of ‘fermionization’ of bosons. The Friedel oscillations represent more than simple antibunching in that they indicate real crystal correlations. In particular, we cannot predict the position of an individual photon, but, knowing the position of one, ot ...
271, 31 (2000) .
... of incorrect one. In fact, this result is a special case of that we have derived in w23x. In Ref. w23x, we have consider two possible ways in which an attempt to discriminate between non-orthogonal states can fail, by giving either an erroneous or an inconclusive result. Above strategy just gives an ...
... of incorrect one. In fact, this result is a special case of that we have derived in w23x. In Ref. w23x, we have consider two possible ways in which an attempt to discriminate between non-orthogonal states can fail, by giving either an erroneous or an inconclusive result. Above strategy just gives an ...
1 Uncertainty principle and position operator in standard theory
... having the size of the order of the Bohr radius cannot emit a wave with λ = 21cm (this observation has been pointed out to me by Volodya Netchitailo). In quantum theory particles are characterized by their energies, momenta and other quantities for which there exist well defined operators while the ...
... having the size of the order of the Bohr radius cannot emit a wave with λ = 21cm (this observation has been pointed out to me by Volodya Netchitailo). In quantum theory particles are characterized by their energies, momenta and other quantities for which there exist well defined operators while the ...
Nonlinear quantum mechanics, the superposition principle, and the
... the same cannot be said about the branching in the many-worlds scenario. How do we experimentally verify that these other branches do indeed exist? As of today, we do not have an answer. Indeed, by the very nature of its construction, the various branches of the many-worlds Universe are not supposed ...
... the same cannot be said about the branching in the many-worlds scenario. How do we experimentally verify that these other branches do indeed exist? As of today, we do not have an answer. Indeed, by the very nature of its construction, the various branches of the many-worlds Universe are not supposed ...
... which as an observable, corresponds to the total energy of a particle of mass m in a real potential field V. Differential operators are important classes of unbounded operators. The structure of self-adjoint operators on infinite-dimensional Hilbert spaces essentially resemble the finitedimensional ...
Summary of key facts
... with commutators and you will need to be fluent when handling expressions where the order of items matters. Creation, annihilation operators, their states (part of a Fock space) and the associated Dirac notation (e.g. h0|b a† b a|0i) are central to QFT so you will need to be experienced with these. ...
... with commutators and you will need to be fluent when handling expressions where the order of items matters. Creation, annihilation operators, their states (part of a Fock space) and the associated Dirac notation (e.g. h0|b a† b a|0i) are central to QFT so you will need to be experienced with these. ...
Elementary Particle Mixing for Maximum Channel Capacity in Measured Decays
... and momentum; and that the generational (u,c,t), (d,s,b), (e,µ,τ ), (νe ,νµ ,ντ ) elementary fermionic patterns complement spin. In this picture fermionic generations arise as a Poincare group representation that generalizes the natural left-right mixing in the Dirac equation. This paper further con ...
... and momentum; and that the generational (u,c,t), (d,s,b), (e,µ,τ ), (νe ,νµ ,ντ ) elementary fermionic patterns complement spin. In this picture fermionic generations arise as a Poincare group representation that generalizes the natural left-right mixing in the Dirac equation. This paper further con ...
ASYMPTOTIC FREEDOM: FROM PARADOX TO PARADIGM
... of many other hadrons were predicted successfully using a generalization of these ideas. (For experts: I have in mind the many resonances that were first seen in partial wave analyses, and then later in production.) More recently the existence of W and Z bosons, and of color gluons, and their proper ...
... of many other hadrons were predicted successfully using a generalization of these ideas. (For experts: I have in mind the many resonances that were first seen in partial wave analyses, and then later in production.) More recently the existence of W and Z bosons, and of color gluons, and their proper ...
Completely positive post-Markovian master equation via a
... The inequality 共11兲 is a necessary and sufficient condition for our map to be CP. Because the functions k共t兲 are given in terms of the memory kernel k共t兲 through Eq. 共9兲, this inequality results in a condition on k共t兲, which can be checked in order to verify that a given such kernel results in a CP ...
... The inequality 共11兲 is a necessary and sufficient condition for our map to be CP. Because the functions k共t兲 are given in terms of the memory kernel k共t兲 through Eq. 共9兲, this inequality results in a condition on k共t兲, which can be checked in order to verify that a given such kernel results in a CP ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: