Can you hear the shape of a graph?
... Quantum graphs, both simple and complex, form a sub-domain within the general research of networks. This research ranges from the human arterial and neural systems to the World Wide Web. We use quantum graphs today to simplify complicated phenomena. They acquired the name “quantum graphs” because on ...
... Quantum graphs, both simple and complex, form a sub-domain within the general research of networks. This research ranges from the human arterial and neural systems to the World Wide Web. We use quantum graphs today to simplify complicated phenomena. They acquired the name “quantum graphs” because on ...
URL - StealthSkater
... At a given level of hierarchy, one can identify the decomposition of space-time surface to p-adic regions with the corresponding decomposition of the infinite prime to primes at a lower level of infinity. At the basic level are finite primes for which one cannot find any formula. B. Two views about ...
... At a given level of hierarchy, one can identify the decomposition of space-time surface to p-adic regions with the corresponding decomposition of the infinite prime to primes at a lower level of infinity. At the basic level are finite primes for which one cannot find any formula. B. Two views about ...
Quantum and Classical Correlations in Quantum Brownian Motion
... It is the aim of this Letter to revisit the question of the creation of entanglement in quantum Brownian motion with recent powerful methods from quantum information theory [5,6]. Our analysis will be split into two parts. In the first part we will show that surprisingly, quantum Brownian motion doe ...
... It is the aim of this Letter to revisit the question of the creation of entanglement in quantum Brownian motion with recent powerful methods from quantum information theory [5,6]. Our analysis will be split into two parts. In the first part we will show that surprisingly, quantum Brownian motion doe ...
Quantum information and quantum computation
... obtains a string of random bits, and he doesn't manage to read even a single letter of the encyclopedia. Worse than that, if I come back the day after to look up something in the encyclopedia, I can't anymore because my friend messed it up! Hidden information. But there is a deeper dierence between ...
... obtains a string of random bits, and he doesn't manage to read even a single letter of the encyclopedia. Worse than that, if I come back the day after to look up something in the encyclopedia, I can't anymore because my friend messed it up! Hidden information. But there is a deeper dierence between ...
Microwave study of quantum n
... correlation of the conductivity have provided unique insight into the manifestations of the chaotic classical dynamics at the quantum level 关10兴. Correlations of wave functions in chaotic systems have been considered recently as a probe for classical ergodicity predictions 关11兴. In the present exper ...
... correlation of the conductivity have provided unique insight into the manifestations of the chaotic classical dynamics at the quantum level 关10兴. Correlations of wave functions in chaotic systems have been considered recently as a probe for classical ergodicity predictions 关11兴. In the present exper ...
A Quantum Rosetta Stone for Interferometry
... transformation (Fig. 1c). This representation is more mathematical than the previous two, and it allows us to extract the unifying mathematical principle that connects the three systems. In all protocols, the initial state is transformed by a discrete Fourier transform (beam splitter, π/2-pulse or H ...
... transformation (Fig. 1c). This representation is more mathematical than the previous two, and it allows us to extract the unifying mathematical principle that connects the three systems. In all protocols, the initial state is transformed by a discrete Fourier transform (beam splitter, π/2-pulse or H ...
Quantum Optics Experiments with Single Photons for Undergraduate Laboratories
... Notice that the visibility for this case can be 1. This type of quantum interference has received much attention for improving over the classical limit of resolution [12]. This interference is similar to the one that gives rise to the Hong-Ou-Mandel interference [13], which produces a characteristic ...
... Notice that the visibility for this case can be 1. This type of quantum interference has received much attention for improving over the classical limit of resolution [12]. This interference is similar to the one that gives rise to the Hong-Ou-Mandel interference [13], which produces a characteristic ...
The permutation gates combined with the one
... integral representation in the computational basis. Developing such a model would be useful in the future design of quantum computer programs. Implementing quantum fourier transforms and exponentiated unitary operations is difficult as they require production of static entangled states and dynamic q ...
... integral representation in the computational basis. Developing such a model would be useful in the future design of quantum computer programs. Implementing quantum fourier transforms and exponentiated unitary operations is difficult as they require production of static entangled states and dynamic q ...
Elementary Particle Mixing for Maximum Channel Capacity in Measured Decays
... and momentum; and that the generational (u,c,t), (d,s,b), (e,µ,τ ), (νe ,νµ ,ντ ) elementary fermionic patterns complement spin. In this picture fermionic generations arise as a Poincare group representation that generalizes the natural left-right mixing in the Dirac equation. This paper further con ...
... and momentum; and that the generational (u,c,t), (d,s,b), (e,µ,τ ), (νe ,νµ ,ντ ) elementary fermionic patterns complement spin. In this picture fermionic generations arise as a Poincare group representation that generalizes the natural left-right mixing in the Dirac equation. This paper further con ...
Wick calculus
... fields we want to integrate are equivalent to functions on spacetime. As mentioned, a first step toward removing infinities and giving mathematical meaning to calculations in the operator formalism is normal ordering. The analog of this ordering for functional integrals is called the “Wick transform ...
... fields we want to integrate are equivalent to functions on spacetime. As mentioned, a first step toward removing infinities and giving mathematical meaning to calculations in the operator formalism is normal ordering. The analog of this ordering for functional integrals is called the “Wick transform ...
Introduction to quantum Fisher information
... H-1051 Budapest, Reáltanoda utca 13-15, Hungary Catalin Ghinea2 Department of Mathematics and its Applications Central European University, 1051 Budapest, Nádor utca 9, Hungary Abstract The subject of this paper is a mathematical transition from the Fisher information of classical statistics to th ...
... H-1051 Budapest, Reáltanoda utca 13-15, Hungary Catalin Ghinea2 Department of Mathematics and its Applications Central European University, 1051 Budapest, Nádor utca 9, Hungary Abstract The subject of this paper is a mathematical transition from the Fisher information of classical statistics to th ...
Lecture - Computer Science - University of Central Florida
... – The size and shape of these structures and therefore the number of electrons they contain, can be precisely controlled; a quantum dot can have anything from a single electron to a collection of several thousands. Boole Lecture - February 15, 2006 ...
... – The size and shape of these structures and therefore the number of electrons they contain, can be precisely controlled; a quantum dot can have anything from a single electron to a collection of several thousands. Boole Lecture - February 15, 2006 ...
Exceptional Points and Dynamical Phase Transitions
... by exceptional points in the regime of overlapping resonances. Such a phase transition is environmentally induced and occurs due to width bifurcation. The number of localized states is reduced since a few resonance states align to the scattering states of the environment and cease to be localized. B ...
... by exceptional points in the regime of overlapping resonances. Such a phase transition is environmentally induced and occurs due to width bifurcation. The number of localized states is reduced since a few resonance states align to the scattering states of the environment and cease to be localized. B ...
Factoring 51 and 85 with 8 qubits
... the objective of the quantum stage of the algorithm is to calculate r. Therefore we do not regard the factorization of products of Fermat primes to be genuine implementations of Shor’s algorithm. Moreover, such special cases can be efficiently factored classically, by comparing N against a list of p ...
... the objective of the quantum stage of the algorithm is to calculate r. Therefore we do not regard the factorization of products of Fermat primes to be genuine implementations of Shor’s algorithm. Moreover, such special cases can be efficiently factored classically, by comparing N against a list of p ...
Multiscale theory of finite-size Bose systems: Implications for collective
... 10– 1000 microns, hence containing between 103 – 106 atoms 关17,18兴. In the atomic Bose condensate, the interatomic interaction can be tuned by a Feshbach resonance 关19兴. The study of strongly interacting trapped BECs 共near a Feshbach resonance兲 has been a subject of active investigation 关17,18,20–25 ...
... 10– 1000 microns, hence containing between 103 – 106 atoms 关17,18兴. In the atomic Bose condensate, the interatomic interaction can be tuned by a Feshbach resonance 关19兴. The study of strongly interacting trapped BECs 共near a Feshbach resonance兲 has been a subject of active investigation 关17,18,20–25 ...
Waves and Optics
... In 1861, Maxwell equations on electromagnetism were presented. In 1888, Hertz verified the existence of electromagnetic waves. In 1900, Planck assumed that discrete energy of radiation field. In 1905 Einstein introduced his special theory of relativity. He asserted that light consisted of particles ...
... In 1861, Maxwell equations on electromagnetism were presented. In 1888, Hertz verified the existence of electromagnetic waves. In 1900, Planck assumed that discrete energy of radiation field. In 1905 Einstein introduced his special theory of relativity. He asserted that light consisted of particles ...
Macroscopicity of Mechanical Quantum Superposition States
... distinct mechanical states are turned rapidly into mixtures. The operational description of quantum theory, based on the state operator ρ, its completely positive and trace-preserving time evolution, and a consistent rule of assigning probabilities to measurements [19], allows one to treat (nonrelat ...
... distinct mechanical states are turned rapidly into mixtures. The operational description of quantum theory, based on the state operator ρ, its completely positive and trace-preserving time evolution, and a consistent rule of assigning probabilities to measurements [19], allows one to treat (nonrelat ...
Seminar Report
... The story of quantum computation started as early as 1982, when the r "ysicist Richard Feynman considered simulation of quantum-mechanical rejects by other quantum systems. However, the unusual power of quantum computation was not really anticipated until the 1985 when David Deutsch of the Universit ...
... The story of quantum computation started as early as 1982, when the r "ysicist Richard Feynman considered simulation of quantum-mechanical rejects by other quantum systems. However, the unusual power of quantum computation was not really anticipated until the 1985 when David Deutsch of the Universit ...
Quantum Manipulation of Ultracold Atoms and Photons
... combinations thereof, is at the heart of quantum information science. Of particular interest are material systems serving as quantum memories that can be interconnected optically [1-7]. An ensemble of atoms can store a quantum state in the form of a quantized collective spin excitation (magnon), tha ...
... combinations thereof, is at the heart of quantum information science. Of particular interest are material systems serving as quantum memories that can be interconnected optically [1-7]. An ensemble of atoms can store a quantum state in the form of a quantized collective spin excitation (magnon), tha ...
Niels Bohr as philosopher of experiment: Does
... focused on the use of classical concepts in any complementary description of the quantum object, in this paper we instead devote much of our attention to his contention that the experimental apparatus must be described in terms of the concepts of classical physics. Here the work of Kroes (1994, 2003 ...
... focused on the use of classical concepts in any complementary description of the quantum object, in this paper we instead devote much of our attention to his contention that the experimental apparatus must be described in terms of the concepts of classical physics. Here the work of Kroes (1994, 2003 ...
PHOTONS AND PHOTON STATISTICS
... consequence of statistics, some come promptly, others come later. This will be discussed in Section 5.3. It was left to Dirac[12] to combine the wave– and particle like aspects of light so that this description is capable of explaining all interference and particle phenomena of the EMF. We shall fol ...
... consequence of statistics, some come promptly, others come later. This will be discussed in Section 5.3. It was left to Dirac[12] to combine the wave– and particle like aspects of light so that this description is capable of explaining all interference and particle phenomena of the EMF. We shall fol ...
