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Matrix Mechanics and Wave Mechanics - Philsci
... dominated the field since the 1930s, and which stemmed from the new Quantum Mechanics, largely predicated on the alleged equivalence, was debunked by the same rethinking of the history of the debate over the foundations of quantum theory (Beller, 1999), and was deemed another myth (Howard, 2004). Th ...
... dominated the field since the 1930s, and which stemmed from the new Quantum Mechanics, largely predicated on the alleged equivalence, was debunked by the same rethinking of the history of the debate over the foundations of quantum theory (Beller, 1999), and was deemed another myth (Howard, 2004). Th ...
Spin Foam Models for Quantum Gravity
... history of quantum gravity see [1]). The main lesson of general relativity is that, unlike in any other interaction, space-time geometry is fully dynamical. This special feature of gravity precludes the possibility of representing fields on a fixed background geometry and severely constrains the app ...
... history of quantum gravity see [1]). The main lesson of general relativity is that, unlike in any other interaction, space-time geometry is fully dynamical. This special feature of gravity precludes the possibility of representing fields on a fixed background geometry and severely constrains the app ...
Single and double bosonic stimulation of THz emission in polaritonic systems
... states and the THz mode using a set of steady-state Boltzmann equations, specific for each type of emitter, described in details in Methods. We calculate the occupancies of the THz mode, the polaritonic states and a quantum efficiency of the emitters as a function of the pumping rate and the THz cav ...
... states and the THz mode using a set of steady-state Boltzmann equations, specific for each type of emitter, described in details in Methods. We calculate the occupancies of the THz mode, the polaritonic states and a quantum efficiency of the emitters as a function of the pumping rate and the THz cav ...
achieving 128-bit security against quantum attacks in openvpn
... given in Table 3. In the next sections, we will analyse the complexity of attacks when the iterative search step is replaced by Grover’s algorithm. Apart from speeding up existing attacks on McEliece using Grover’s algorithm, no quantum attacks against McEliece are currently known. Grover’s algorith ...
... given in Table 3. In the next sections, we will analyse the complexity of attacks when the iterative search step is replaced by Grover’s algorithm. Apart from speeding up existing attacks on McEliece using Grover’s algorithm, no quantum attacks against McEliece are currently known. Grover’s algorith ...
vector. - cloudfront.net
... even though the traditional notation is a letter with a little arrow as a “hat”. In this particular case, the vector is called position vector and is denoted by the letter r. Any vector has two important characteristics: 1) magnitude or size, determined by the length of the arrow r and 2) direction, ...
... even though the traditional notation is a letter with a little arrow as a “hat”. In this particular case, the vector is called position vector and is denoted by the letter r. Any vector has two important characteristics: 1) magnitude or size, determined by the length of the arrow r and 2) direction, ...
E. Waltersson, On the role of the electron
... Most theoretical studies have chosen a two dimensional harmonic oscillator potential as the confinement. An early motivation for this was the study by Kumar et al. [10] in 1990 who used self-consistent combined Hartree and Poisson solutions. They showed that the two-dimensional harmonic oscillator p ...
... Most theoretical studies have chosen a two dimensional harmonic oscillator potential as the confinement. An early motivation for this was the study by Kumar et al. [10] in 1990 who used self-consistent combined Hartree and Poisson solutions. They showed that the two-dimensional harmonic oscillator p ...
quantum computing for computer scientists
... subtraction is not ( a b b a ), we use the convention that the sign of the coefficient must always be associated with the particular element, for example, a b = a + b = b + a = b + a . The interpretation of 0 to mean cannot occur [6] is subtle, yet conceptually meaningful, and has these con ...
... subtraction is not ( a b b a ), we use the convention that the sign of the coefficient must always be associated with the particular element, for example, a b = a + b = b + a = b + a . The interpretation of 0 to mean cannot occur [6] is subtle, yet conceptually meaningful, and has these con ...
Nonlocality and entanglement in Generalized
... physical theory of today. Although quantum theory is conceptually difficult to understand, its mathematical structure is quite simple. What determines this particularly simple and elegant mathematical structure? In short: Why is quantum theory as it is? Addressing such questions is the aim of invest ...
... physical theory of today. Although quantum theory is conceptually difficult to understand, its mathematical structure is quite simple. What determines this particularly simple and elegant mathematical structure? In short: Why is quantum theory as it is? Addressing such questions is the aim of invest ...
Neutral Atom Quantum Computing with Rydberg Blockade
... of decoherence, which arises from the interaction of a qubit with its environment. Thus, if the physical system implementing our qubits is not well isolated, the environment will, so to say, continually “measure” the state of the system. Since quantum computation relies on the undisturbed evolution ...
... of decoherence, which arises from the interaction of a qubit with its environment. Thus, if the physical system implementing our qubits is not well isolated, the environment will, so to say, continually “measure” the state of the system. Since quantum computation relies on the undisturbed evolution ...
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.