Achieving the ultimate optical resolution
... information to quantify how well the separation between two poorly resolved incoherent point sources can be estimated. The associated quantum Cramér–Rao lower bound (qCRLB) gives a bound of the accuracy of that estimation. Surprisingly enough, the qCRLB maintains a fairly constant value for any sepa ...
... information to quantify how well the separation between two poorly resolved incoherent point sources can be estimated. The associated quantum Cramér–Rao lower bound (qCRLB) gives a bound of the accuracy of that estimation. Surprisingly enough, the qCRLB maintains a fairly constant value for any sepa ...
Acrobat PDF - Electronic Journal of Theoretical Physics
... When approaching general relativity in this manner, it is convenient to use the background field method [2, 33]. Divergent terms are absorbed away into phenomenological constants which characterize the effective action of the theory. The price paid is the introduction of a set of never-ending higher o ...
... When approaching general relativity in this manner, it is convenient to use the background field method [2, 33]. Divergent terms are absorbed away into phenomenological constants which characterize the effective action of the theory. The price paid is the introduction of a set of never-ending higher o ...
File
... • Even if the above is repaired, states that are physically orthogonal (e.g. 0 or 1 b’ excitations) are not orthogonal, but can have inner product 1-e(Marolf & JP). • Current form works, if at all, only for a black hole in a box (depends on properties of equilibrium states), not for one that is dec ...
... • Even if the above is repaired, states that are physically orthogonal (e.g. 0 or 1 b’ excitations) are not orthogonal, but can have inner product 1-e(Marolf & JP). • Current form works, if at all, only for a black hole in a box (depends on properties of equilibrium states), not for one that is dec ...
Information measures of hydrogenic systems, Laguerre polynomials
... and numerical standpoints [18,4]; see also [1] for a brief review. Nevertheless its explicit expression is not yet known, mainly because it involves some entropic integrals of Laguerre and Gegenbauer polynomials whose analytical calculation is an open problem still nowadays, as it is explained later ...
... and numerical standpoints [18,4]; see also [1] for a brief review. Nevertheless its explicit expression is not yet known, mainly because it involves some entropic integrals of Laguerre and Gegenbauer polynomials whose analytical calculation is an open problem still nowadays, as it is explained later ...
High-Performance Computing and Quantum Processing - HPC-UA
... high-performance and enabled-capabilities data processing platforms. In living organisms, various information and data processing tasks are performed by microscopic atomic and biomolecular fabrics using quantum phenomena and effects. We examine fundamentals of quantum data processing on measurable, ...
... high-performance and enabled-capabilities data processing platforms. In living organisms, various information and data processing tasks are performed by microscopic atomic and biomolecular fabrics using quantum phenomena and effects. We examine fundamentals of quantum data processing on measurable, ...
May 31, 2014
... and algebra, but what is less known is that to him all these developments were motivated as part of a mathematical foundation of physics. Indeed Lawvere introduced cohesive toposes (and synthetic differential geometry [MoR91]) as a foundation for continuum physics.1 I found that combining this with ...
... and algebra, but what is less known is that to him all these developments were motivated as part of a mathematical foundation of physics. Indeed Lawvere introduced cohesive toposes (and synthetic differential geometry [MoR91]) as a foundation for continuum physics.1 I found that combining this with ...
Exercise Sheet 9 - Institute for Quantum Information
... that occurred. In other words, a code with basis {|j̄i} that satisfies a condition hj̄| Ea† Eb |īi = δab δij is non-degenerate. In this case each Ea take the code subspace to a set of mutually orthogonal "error subspaces." A non-degenerate code encodes k qubits in n qubits in such a way that it can ...
... that occurred. In other words, a code with basis {|j̄i} that satisfies a condition hj̄| Ea† Eb |īi = δab δij is non-degenerate. In this case each Ea take the code subspace to a set of mutually orthogonal "error subspaces." A non-degenerate code encodes k qubits in n qubits in such a way that it can ...
Quantum mechanics and path integrals
... If we try to pursue this program, then there are some problems one will run into. For example, it is far from clear that different approximation schemes for any given action functional S will result in the same path integral. In fact, there is indeed such an ambiguity in quantum mechanics – a given ...
... If we try to pursue this program, then there are some problems one will run into. For example, it is far from clear that different approximation schemes for any given action functional S will result in the same path integral. In fact, there is indeed such an ambiguity in quantum mechanics – a given ...
Quantum Canonical Transformations: Physical Equivalence of
... sively studied from the standpoint of group representations[5]. Quantum canonical transformations give a somewhat different perspective. This Letter will discuss the conditions under which a quantum canonical transformation is an isometric transformation. The discussion is made for the quantum mech ...
... sively studied from the standpoint of group representations[5]. Quantum canonical transformations give a somewhat different perspective. This Letter will discuss the conditions under which a quantum canonical transformation is an isometric transformation. The discussion is made for the quantum mech ...
Experiments with single photons
... sent towards a beamsplitter. In the left part of the figure, the single photon exhibits a particle-like behaviour : it is detected by either one of the detectors, but there is never a “double click”. One would conclude classically that the photon “chooses its way” on the beamsplitter. In the right pa ...
... sent towards a beamsplitter. In the left part of the figure, the single photon exhibits a particle-like behaviour : it is detected by either one of the detectors, but there is never a “double click”. One would conclude classically that the photon “chooses its way” on the beamsplitter. In the right pa ...
- Snistnote
... numbers are required to specify completely each energy state. since for a particle inside the box, ‘ Ψ ’ cannot be zero, no quantum number can be zero. 2.The energy ‘ E ’ depends on the sum of the squares of the quantum numbers n1,n2 and n3 and no on their individual values. 3.Several combinations o ...
... numbers are required to specify completely each energy state. since for a particle inside the box, ‘ Ψ ’ cannot be zero, no quantum number can be zero. 2.The energy ‘ E ’ depends on the sum of the squares of the quantum numbers n1,n2 and n3 and no on their individual values. 3.Several combinations o ...
QM lecture - The Evergreen State College
... (Do Prob 4.18, and 4.20 p.150 as you did Prob.1 above) ...
... (Do Prob 4.18, and 4.20 p.150 as you did Prob.1 above) ...
“Relative State” Formulation of Quantum Mechanics
... Thesis submitted to Princeton University March 1, 1957 in partial fulfillment of the requirements for the Ph.D. degree. An earlier draft dated January, 1956 was circulated to several physicists whose comments were helpful. Professor Niels Bohr, Dr. H. J. Groenewald, Dr. Aage Peterson, Dr. A. Stern, ...
... Thesis submitted to Princeton University March 1, 1957 in partial fulfillment of the requirements for the Ph.D. degree. An earlier draft dated January, 1956 was circulated to several physicists whose comments were helpful. Professor Niels Bohr, Dr. H. J. Groenewald, Dr. Aage Peterson, Dr. A. Stern, ...
Quantum Computation - University of Denver
... certain situations it becomes awkward. In such situations, we revert to standard mathematical notation. 3. QUANTUM MECHANICS. Quantum mechanics is a theory that describes atomic and subatomic particles (quantum particles) and their interactions. Examples of quantum particles are electrons, protons, ...
... certain situations it becomes awkward. In such situations, we revert to standard mathematical notation. 3. QUANTUM MECHANICS. Quantum mechanics is a theory that describes atomic and subatomic particles (quantum particles) and their interactions. Examples of quantum particles are electrons, protons, ...
Quantum Networking and Internetworking
... The concept of entanglement, in which the states of two or more quantum subsystems are correlated in a fashion that is not possible in classical systems, is the most difficult quantum concept to grasp. Two qubits can be entangled in a continuous spectrum of possible states; four types of entangled s ...
... The concept of entanglement, in which the states of two or more quantum subsystems are correlated in a fashion that is not possible in classical systems, is the most difficult quantum concept to grasp. Two qubits can be entangled in a continuous spectrum of possible states; four types of entangled s ...
URL - StealthSkater
... His friend Max Planck (the founder of Quantum Theory) advised young Einstein that the problem of gravitation was too difficult. But Einstein plunged ahead to unravel its mystery. In the course of his research with light propagation, he came to the conclusion that light beams could bend under the in ...
... His friend Max Planck (the founder of Quantum Theory) advised young Einstein that the problem of gravitation was too difficult. But Einstein plunged ahead to unravel its mystery. In the course of his research with light propagation, he came to the conclusion that light beams could bend under the in ...
