After a 30-year struggle to harness quantum weirdness for
... so that it no longer represents many different states at once. If qubits are going to be useful in real-world calculations, they must be kept in the strictest isolation and manipulated with care — extremely difficult tasks. They also need to remain in their quantum states for much longer than it tak ...
... so that it no longer represents many different states at once. If qubits are going to be useful in real-world calculations, they must be kept in the strictest isolation and manipulated with care — extremely difficult tasks. They also need to remain in their quantum states for much longer than it tak ...
10 Time Reversal Symmetry in Quantum Mechanics
... problem because the absolute value of the inner product is and only the absolute value is experimentally measurable. In fact, Wigner showed that in order for the absolute value of inner product be invariant, the symmetry operation must either be unitary or anti-unitary. 3. Representations of time re ...
... problem because the absolute value of the inner product is and only the absolute value is experimentally measurable. In fact, Wigner showed that in order for the absolute value of inner product be invariant, the symmetry operation must either be unitary or anti-unitary. 3. Representations of time re ...
... Now for the measurement problem on this strategy. A first version is this: microscopic systems (and hence the macroscopic) are in some sense probabilistic. If the state says all there is to say about the microscopic, so that it is a "complete" description of the microscopic, then just so far as ther ...
Entanglement, which-way measurements, and a quantum erasure Christian Ferrari Bernd Braunecker
... We see that the erasure of the which-path information by the absorption of the photon by the quantum eraser completely restores the original quantum interference. VI. CONCLUSION We have presented a simple model that requires knowledge only of two-level systems. Nonetheless, it allows us to explain ...
... We see that the erasure of the which-path information by the absorption of the photon by the quantum eraser completely restores the original quantum interference. VI. CONCLUSION We have presented a simple model that requires knowledge only of two-level systems. Nonetheless, it allows us to explain ...
Classical continuum theory of the dipole-forbidden collective excitations in quantum... W. L. Schaich M. R. Geller and G. Vignale
... dipole-allowed transitions in these structures, and their dependence on the form of the confining potential, the number of electrons, and the strength and orientation of an applied magnetic field. For example, the long-wavelength optical absorption spectrum in such structures with parabolic confinem ...
... dipole-allowed transitions in these structures, and their dependence on the form of the confining potential, the number of electrons, and the strength and orientation of an applied magnetic field. For example, the long-wavelength optical absorption spectrum in such structures with parabolic confinem ...
QUANTUM THREE-PASS PROTOCOL: KEY DISTRIBUTION USING
... is encoded into a single particle, called a “quantum bit” or “qubit” whose state is represented by using a vector (e.g., 0 or 1 ,) called “ket” vector in Dirac notation. In this paper, we assume that a photon is used as a qubit. (Henceforth, we use photon and qubit interchangeably.) We use a photon ...
... is encoded into a single particle, called a “quantum bit” or “qubit” whose state is represented by using a vector (e.g., 0 or 1 ,) called “ket” vector in Dirac notation. In this paper, we assume that a photon is used as a qubit. (Henceforth, we use photon and qubit interchangeably.) We use a photon ...
Collective potential for large-N Hamiltonian matrix models and free Fisher information
... gluonic field (Aµ ) belongs to the adjoint representation of the structure group, is perhaps the most natural example of a field theory where the dynamical degrees of freedom are matrix valued. It is believed that the planar large N limit is the correct simplification to consider while trying to und ...
... gluonic field (Aµ ) belongs to the adjoint representation of the structure group, is perhaps the most natural example of a field theory where the dynamical degrees of freedom are matrix valued. It is believed that the planar large N limit is the correct simplification to consider while trying to und ...
Coherent States
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
... Here I digress from work in progress—namely, a review of a paper by C. Y. She & H. Heffner1 , which was the first of several papers inspired by E. Arthurs & J. L. Kelly’s “On the simultaneous measurement of a pair of conjugate observables” (BSTJ 44, 725 (1965)); it is my intention to incorporate tha ...
Feedback!control and! fluctuation!theorems! in! classical systems!
... Although the SZE deals with a microscopic object, namely, an engine with a single molecule, its fully quantum analysis has not yet been conducted except for the measurement process [8,9]. In this Letter we present the first complete quantum analysis of the SZE. The previous literature takes for gran ...
... Although the SZE deals with a microscopic object, namely, an engine with a single molecule, its fully quantum analysis has not yet been conducted except for the measurement process [8,9]. In this Letter we present the first complete quantum analysis of the SZE. The previous literature takes for gran ...
quantum algorithms - Computer Engineering
... on an exact value of 0 or 1, and that is what we see, not a combination of the two values. But which value do we see, 0 or 1? In general, this is a probabilistic event, and the probabilities are determined by the state of the quantum bit before the measurement. To represent the exact state of a qubi ...
... on an exact value of 0 or 1, and that is what we see, not a combination of the two values. But which value do we see, 0 or 1? In general, this is a probabilistic event, and the probabilities are determined by the state of the quantum bit before the measurement. To represent the exact state of a qubi ...
Many Body Quantum Mechanics
... 1.1 DEFINITION (Hilbert Space). A Hilbert Space H is a vector space endowed with a sesquilinear map (·, ·) : H × H → C (i.e., a map which is conjugate linear in the first variable and linear in the second1 ) such that kφk = (φ, φ)1/2 defines a norm on H which makes H into a complete metric space. 1. ...
... 1.1 DEFINITION (Hilbert Space). A Hilbert Space H is a vector space endowed with a sesquilinear map (·, ·) : H × H → C (i.e., a map which is conjugate linear in the first variable and linear in the second1 ) such that kφk = (φ, φ)1/2 defines a norm on H which makes H into a complete metric space. 1. ...
Document
... QM. Its important to note how non locality is implicated by the same wave function concept and so in the possibility of superposing or making interference between quantum state. In fact the possibility of changing the statistical behaviour of a particle not acting on it is what happens when we stop ...
... QM. Its important to note how non locality is implicated by the same wave function concept and so in the possibility of superposing or making interference between quantum state. In fact the possibility of changing the statistical behaviour of a particle not acting on it is what happens when we stop ...
Is Classical Statistical Mechanics Self-Consistent? (A paper in honor of C. F. von Weizsäcker, 1912–2007)
... determines both its stationary and its non-stationary motions and, in particular, its set of possible configurations. For instance, the turning points of a pendulum are determined by its energy. In quantum mechanics, the situation is somewhat more complicated. The set of stationary states is (quasi- ...
... determines both its stationary and its non-stationary motions and, in particular, its set of possible configurations. For instance, the turning points of a pendulum are determined by its energy. In quantum mechanics, the situation is somewhat more complicated. The set of stationary states is (quasi- ...