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Why is the propagation velocity of a photon in a... reduced?
... The approach followed in this paper is based upon the path integral formalism described in detail in the classic book of Feynman and Hibbs.6 It is necessary, however, to postulate an expression for the propagation of a single photon which cannot be found in the standard literature on path integrals. ...
... The approach followed in this paper is based upon the path integral formalism described in detail in the classic book of Feynman and Hibbs.6 It is necessary, however, to postulate an expression for the propagation of a single photon which cannot be found in the standard literature on path integrals. ...
Factorization of quantum charge transport for non
... all the matrices in (5) are finite-dimensional, and no regularization is needed. If the single-particle Hilbert space has an infinite dimension, then a regularization may be needed or not, depending on the properties of the Hamiltonians describing the evolution (in the operator Û ) and the initial ...
... all the matrices in (5) are finite-dimensional, and no regularization is needed. If the single-particle Hilbert space has an infinite dimension, then a regularization may be needed or not, depending on the properties of the Hamiltonians describing the evolution (in the operator Û ) and the initial ...
Sombrero Adiabatic Quantum Computation
... Why starting with an initial guess instead of uniform superposition? In addition to random choices for the initial guess (a good idea if less computational power is to be invested), there are many ways to make an educated guess of a solution: 1) One could use physical intuition or constraints impose ...
... Why starting with an initial guess instead of uniform superposition? In addition to random choices for the initial guess (a good idea if less computational power is to be invested), there are many ways to make an educated guess of a solution: 1) One could use physical intuition or constraints impose ...
Reivelt, K., Vlassov, S. (2014) Quantum SpinOff Learning Station
... Quantum dots are nanoparticles usually made of semiconductor materials with fluorescent properties (CdSe, …). Quantum dots are usually sub 10 nm in size and have electronic properties intermediate between those of bulk semiconductors and those of discrete molecules. Stated simply, quantum dots are s ...
... Quantum dots are nanoparticles usually made of semiconductor materials with fluorescent properties (CdSe, …). Quantum dots are usually sub 10 nm in size and have electronic properties intermediate between those of bulk semiconductors and those of discrete molecules. Stated simply, quantum dots are s ...
Necessary and Sufficient Quantum Information Characterization of
... [13–30], mostly directed to the verification of steering. Nonetheless, an answer to the question “What is steering useful for?” can arguably be considered limited [9,12]. Furthermore, the quantification of steering has just started to be addresses [24,31]. In this Letter, we fully characterize and q ...
... [13–30], mostly directed to the verification of steering. Nonetheless, an answer to the question “What is steering useful for?” can arguably be considered limited [9,12]. Furthermore, the quantification of steering has just started to be addresses [24,31]. In this Letter, we fully characterize and q ...
Significant-Loophole-Free Test of Bell`s Theorem with Entangled
... both sides so quickly that no physical signal (limited by the speed of light) can pass information about the chosen setting or the measurement result to the other side in time to be relevant for the measurement there. The freedom-of-choice loophole refers to the requirement, formulated by Bell, that ...
... both sides so quickly that no physical signal (limited by the speed of light) can pass information about the chosen setting or the measurement result to the other side in time to be relevant for the measurement there. The freedom-of-choice loophole refers to the requirement, formulated by Bell, that ...
Computing with Atoms and Molecules
... way of knowing which answer will appear! It seems quantum computers do not compute one-to-one functions (where each input results in a unique output as in the doubling algorithm above) any more efficiently than classical computers. The trick behind a useful quantum computer algorithm involves the ph ...
... way of knowing which answer will appear! It seems quantum computers do not compute one-to-one functions (where each input results in a unique output as in the doubling algorithm above) any more efficiently than classical computers. The trick behind a useful quantum computer algorithm involves the ph ...
Bounding the quantum dimension with contextuality Linköping University Post Print
... of novel theoretical tools of analysis. There are already tools which allow us to recognize quantum entanglement and certify the usefulness of quantum states for quantum information processing tasks [1,2]. However, on a more fundamental level, there are still several problems which have to be addres ...
... of novel theoretical tools of analysis. There are already tools which allow us to recognize quantum entanglement and certify the usefulness of quantum states for quantum information processing tasks [1,2]. However, on a more fundamental level, there are still several problems which have to be addres ...
A Golden-Thompson inequality in supersymmetric quantum
... In this section we formulate and prove our supersymmetric Golden-Thompson inequality. We begin with a brief review of supersymmetric quantum mechanics. The Hilbert space of supersymmetric quantum mechanics is d f , = L 2 ( ~ n ) | A(C"), where A(C") denotes the Grassmann algebra over C ". We choose ...
... In this section we formulate and prove our supersymmetric Golden-Thompson inequality. We begin with a brief review of supersymmetric quantum mechanics. The Hilbert space of supersymmetric quantum mechanics is d f , = L 2 ( ~ n ) | A(C"), where A(C") denotes the Grassmann algebra over C ". We choose ...
Algorithms and Architectures for Quantum Computers
... computers, and after years of testing, modeling, and planning, we have come to understand how this can be achieved by combining fault tolerance techniques developed by von Neumann, with methods from atomic physics. Our main approach is to develop highly integrated trapped ion systems, in which state ...
... computers, and after years of testing, modeling, and planning, we have come to understand how this can be achieved by combining fault tolerance techniques developed by von Neumann, with methods from atomic physics. Our main approach is to develop highly integrated trapped ion systems, in which state ...
PDF only - at www.arxiv.org.
... controversy over Time Symmetric Quantum Counterfactuals (TSQC) has its roots in a famous paper by Aharonov, Bergmann, and Lebowitz (henceforth, “ABL”) entitled “Time Symmetry in the Quantum Process of Measurement” ...
... controversy over Time Symmetric Quantum Counterfactuals (TSQC) has its roots in a famous paper by Aharonov, Bergmann, and Lebowitz (henceforth, “ABL”) entitled “Time Symmetry in the Quantum Process of Measurement” ...
Can the Schrödinger wave function be associated with a concrete
... of the center of mass. In case of a dipolar diatomic molecule electric and magnetic fields of the molecule have purely dipolar character. On the other hand the Schrödinger equation describing the rotations and vibrations of the electronic ground state contains a spherical symmetric potential [12]. ...
... of the center of mass. In case of a dipolar diatomic molecule electric and magnetic fields of the molecule have purely dipolar character. On the other hand the Schrödinger equation describing the rotations and vibrations of the electronic ground state contains a spherical symmetric potential [12]. ...
Probability amplitude
![](https://commons.wikimedia.org/wiki/Special:FilePath/Hydrogen_eigenstate_n5_l2_m1.png?width=300)
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.