Quantum annealing with manufactured spins
... to that of finding the ground state of a system of interacting spins; however, finding such a ground state remains computationally difficult1. It is believed that the ground state of some naturally occurring spin systems can be effectively attained through a process called quantum annealing2,3. If i ...
... to that of finding the ground state of a system of interacting spins; however, finding such a ground state remains computationally difficult1. It is believed that the ground state of some naturally occurring spin systems can be effectively attained through a process called quantum annealing2,3. If i ...
On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge
... More precisely, the thought-experiment involves two observers: one making the non-orthogonality assumption, the other performing the separation. The interplay of orthogonality, distinguishability, thermodynamics, and multiplicity of observers is quite interesting; therefore we want to discuss and an ...
... More precisely, the thought-experiment involves two observers: one making the non-orthogonality assumption, the other performing the separation. The interplay of orthogonality, distinguishability, thermodynamics, and multiplicity of observers is quite interesting; therefore we want to discuss and an ...
Stationary Solutions of the Klein-Gordon Equation in a Potential Field
... We seek to introduce a mathematical method to derive the Klein-Gordon equation and a set of relevant laws strictly, which combines the relativistic wave functions in two inertial frames of reference. If we define the stationary state wave functions as special solutions like Ψ(r, t) = ψ(r)e−iEt/h̄ , ...
... We seek to introduce a mathematical method to derive the Klein-Gordon equation and a set of relevant laws strictly, which combines the relativistic wave functions in two inertial frames of reference. If we define the stationary state wave functions as special solutions like Ψ(r, t) = ψ(r)e−iEt/h̄ , ...
1 Introduction 2 Electromagnetism in Quantum Mechanics 3
... θ is a position-dependent phase. Note that we have normalized our wave function so that its absolute square gives the density of Cooper pairs. Find an expression for ρ2s v, the Cooper pair number current density. Use this with the expression for the canonical momentum of a Cooper pair in a magnetic ...
... θ is a position-dependent phase. Note that we have normalized our wave function so that its absolute square gives the density of Cooper pairs. Find an expression for ρ2s v, the Cooper pair number current density. Use this with the expression for the canonical momentum of a Cooper pair in a magnetic ...
Science Journals — AAAS
... Here, f is a phase shift intrinsic to the gate, and q(ϑ) is a corrective phase shift that can be applied by tilting an HWP at OA by an angle ϑ, such that f + q(ϑ) = 2np (see Materials and Methods). In doing so, we are able to test the coherent interaction of all three qubits in the gate, which is a ...
... Here, f is a phase shift intrinsic to the gate, and q(ϑ) is a corrective phase shift that can be applied by tilting an HWP at OA by an angle ϑ, such that f + q(ϑ) = 2np (see Materials and Methods). In doing so, we are able to test the coherent interaction of all three qubits in the gate, which is a ...
Quantum Process on 1 quabit system Au Tung Kin 2009264740 1
... of electrons is uncertain, that is, we may have nonzero probability to get spin up or spin down after measurement. Thus, the state of an electron is more complicated rather than either spin up or down. Since the measurement outcomes are only two, it is “one qubit” system. In mathematics, we use vect ...
... of electrons is uncertain, that is, we may have nonzero probability to get spin up or spin down after measurement. Thus, the state of an electron is more complicated rather than either spin up or down. Since the measurement outcomes are only two, it is “one qubit” system. In mathematics, we use vect ...
STRONG-FIELD PHENOMENA IN ATOMS QUASICLASSICAL
... can be valid if ω is not too large (though is much smaller than one), so that for any n the difference γ - nω does not approach any real atomic levels. However, if ω is small enough for the quasiclassical approximation to be well applicable, the levels of energies γ nω can belong to the same set of ...
... can be valid if ω is not too large (though is much smaller than one), so that for any n the difference γ - nω does not approach any real atomic levels. However, if ω is small enough for the quasiclassical approximation to be well applicable, the levels of energies γ nω can belong to the same set of ...
An Exploration of Powerful Power of Thought Experiences
... theory and the concepts of visualization seen in power of thought publications cannot be overlooked. Virtually all power of thought methods highlight the importance of a relaxed state where the person can focus strongly on his or her visualization and, typically, the emotional states relating to it. ...
... theory and the concepts of visualization seen in power of thought publications cannot be overlooked. Virtually all power of thought methods highlight the importance of a relaxed state where the person can focus strongly on his or her visualization and, typically, the emotional states relating to it. ...
Action-dependent wave functions: Definition
... function does not disperse for the cases examined to date. This is because the action-dependent wave packets evolve in action like a classical distribution of particles-all with the same energy. The action-dependent wave packet appears to be an artificial construct to a large extent. There does not ...
... function does not disperse for the cases examined to date. This is because the action-dependent wave packets evolve in action like a classical distribution of particles-all with the same energy. The action-dependent wave packet appears to be an artificial construct to a large extent. There does not ...
Implementation of a quantum algorithm on a nuclear magnetic
... spin–spin interaction for their implementation. In NMR the scalar spin–spin coupling ~J coupling! has the correct form, and is ideally suited for the construction of controlled gates, such as CNOT. This gate operates to invert the value of one qubit when another qubit ~the control qubit! has some sp ...
... spin–spin interaction for their implementation. In NMR the scalar spin–spin coupling ~J coupling! has the correct form, and is ideally suited for the construction of controlled gates, such as CNOT. This gate operates to invert the value of one qubit when another qubit ~the control qubit! has some sp ...
Programming with Quantum Communication
... Secondly, the reasoning about quantum communication fits nicely in the general framework of quantum predicative programming, and thus inherits all of its advantages. The definitions of specification and program are simple: a specification is a boolean (or probabilistic) expression and a program is a ...
... Secondly, the reasoning about quantum communication fits nicely in the general framework of quantum predicative programming, and thus inherits all of its advantages. The definitions of specification and program are simple: a specification is a boolean (or probabilistic) expression and a program is a ...
Atomic Structure, angular momentum, electron orbitals
... and ml are degenerate (have the same energy). • The figure on the right shows the states with l = 2 and different values of ml. The orbital angular momentum has the same magnitude L for each these states, but has different values of the zcomponent Lz. ...
... and ml are degenerate (have the same energy). • The figure on the right shows the states with l = 2 and different values of ml. The orbital angular momentum has the same magnitude L for each these states, but has different values of the zcomponent Lz. ...
Research Statement Introduction Gabor Lippner
... lemma. Independently, Benjamini and Schramm (in [3]) pioneered limits of bounded degree graph sequences, leading to applications ranging from group theory to constant time algorithms. In both theories, one defines a metric on the space of graphs, and then constructs a compactification of the resulti ...
... lemma. Independently, Benjamini and Schramm (in [3]) pioneered limits of bounded degree graph sequences, leading to applications ranging from group theory to constant time algorithms. In both theories, one defines a metric on the space of graphs, and then constructs a compactification of the resulti ...
A Quantum Explanation of Sheldrake`s Morphic
... epoch-making discovery in 1964 by the theorist John Bell [7]. Bell showed that the introduction of hidden variables into Quantum Mmechanics (i.e., a resolution of the quantum measurement problem suggested by many physicists) conflicts with the locality principle of material realism -- that influence ...
... epoch-making discovery in 1964 by the theorist John Bell [7]. Bell showed that the introduction of hidden variables into Quantum Mmechanics (i.e., a resolution of the quantum measurement problem suggested by many physicists) conflicts with the locality principle of material realism -- that influence ...
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.