1 - the David R. Cheriton School of Computer Science
... [Shor ’94]: polynomial-time algorithm for factoring integers on a quantum computer This could be used to break most of the existing public-key cryptosystems, including RSA, and elliptic curve crypto [Bennett, Brassard ’84]: provably secure codes with short keys ...
... [Shor ’94]: polynomial-time algorithm for factoring integers on a quantum computer This could be used to break most of the existing public-key cryptosystems, including RSA, and elliptic curve crypto [Bennett, Brassard ’84]: provably secure codes with short keys ...
1 - Cheriton School of Computer Science
... [Shor ’94]: polynomial-time algorithm for factoring integers on a quantum computer This could be used to break most of the existing public-key cryptosystems, including RSA, and elliptic curve crypto [Bennett, Brassard ’84]: provably secure codes with short keys ...
... [Shor ’94]: polynomial-time algorithm for factoring integers on a quantum computer This could be used to break most of the existing public-key cryptosystems, including RSA, and elliptic curve crypto [Bennett, Brassard ’84]: provably secure codes with short keys ...
Sample pages 2 PDF
... In these functions, E refers to the energy of the state, Ef is a characteristic energy of the system (the Fermi energy) usually used with Fermi–Dirac statistics, and kT is the Boltzmann constant times the temperature (in Kelvin). The constant A in the Bose–Einstein and Maxwell–Boltzmann functions de ...
... In these functions, E refers to the energy of the state, Ef is a characteristic energy of the system (the Fermi energy) usually used with Fermi–Dirac statistics, and kT is the Boltzmann constant times the temperature (in Kelvin). The constant A in the Bose–Einstein and Maxwell–Boltzmann functions de ...
Physics 557 – Lecture 8 Quantum numbers of the Standard Model
... particles. From this standpoint the masses of the quarks and massive vector bosons are determined by externally provided masses terms. The masses of the observed hadrons (strongly interaction particles) are “explained” by Hstrong and in that sense we think of Hstrong as the dominant member of this t ...
... particles. From this standpoint the masses of the quarks and massive vector bosons are determined by externally provided masses terms. The masses of the observed hadrons (strongly interaction particles) are “explained” by Hstrong and in that sense we think of Hstrong as the dominant member of this t ...
The wave-particle duality reminds us that sometimes truth really is
... “broke” into a storm the effects of which are still being felt today! In this chapter, you will meet one of the strangest ideas in all of science. In many ways, this chapter represents the end of classical physics. You will learn that light is not only a wave, but also a particle. Stranger still, yo ...
... “broke” into a storm the effects of which are still being felt today! In this chapter, you will meet one of the strangest ideas in all of science. In many ways, this chapter represents the end of classical physics. You will learn that light is not only a wave, but also a particle. Stranger still, yo ...
Wick Rotation as a New Symmetry
... A minimum along the classical path (shown in thick dotted lines)and it will vary only by second order along nearby paths. But, for paths which are slightly more removed from the classical path, the action changes substantially even for a slight change in the path. Therefore, except along the paths ...
... A minimum along the classical path (shown in thick dotted lines)and it will vary only by second order along nearby paths. But, for paths which are slightly more removed from the classical path, the action changes substantially even for a slight change in the path. Therefore, except along the paths ...
Indistinguishable Particles in Quantum Mechanics: An Introduction
... • The electronic structure of solids and their electrical and thermal properties; • The formation of white dwarfs, where the gravitational collapse of the star is halted by the pressure resulting from its electrons being unable to occupy the same states; • The repulsive force that is part of the ion ...
... • The electronic structure of solids and their electrical and thermal properties; • The formation of white dwarfs, where the gravitational collapse of the star is halted by the pressure resulting from its electrons being unable to occupy the same states; • The repulsive force that is part of the ion ...
The non-equilibrium Green`s function method
... theory. While there have been many models and concepts developed to deal with particular aspects of quantum transport, the most general and rigorous theoretical framework is provided by the so-called non-equilibrium Green’s function theory (NEGF) developed by Keldysh 1964 and,1 in a slightly differe ...
... theory. While there have been many models and concepts developed to deal with particular aspects of quantum transport, the most general and rigorous theoretical framework is provided by the so-called non-equilibrium Green’s function theory (NEGF) developed by Keldysh 1964 and,1 in a slightly differe ...
i 2
... that this is slightly less than the mass of a proton or a neutron. An atomic mass unit is sometimes called a Dalton (D). 1.00 g = 6.02214 x 1023 amu. This number is also known as Avogadro’s Number and it defines the size of a quantity we call a mole. ...
... that this is slightly less than the mass of a proton or a neutron. An atomic mass unit is sometimes called a Dalton (D). 1.00 g = 6.02214 x 1023 amu. This number is also known as Avogadro’s Number and it defines the size of a quantity we call a mole. ...
Superselection Rules - Philsci
... for sufficiently large R. Hence, in the quantum theory, A commutes with Q. It is possible, though technically far from trivial, that this formal reasoning can indeed be justified in Local Quantum Field Theory [11]. For example, one difficulty is that Gauß’ law does not hold as an operator identity. ...
... for sufficiently large R. Hence, in the quantum theory, A commutes with Q. It is possible, though technically far from trivial, that this formal reasoning can indeed be justified in Local Quantum Field Theory [11]. For example, one difficulty is that Gauß’ law does not hold as an operator identity. ...
How to test the “quantumness” of a quantum computer?
... The goal of the experiment [9] was to find the statistics of the device by determining the random spin glass ground state and comparing the results with the algorithms based on simulated classical and quantum annealing (SCA and SQA, respectively). The surprising result was that the operation of D-Wa ...
... The goal of the experiment [9] was to find the statistics of the device by determining the random spin glass ground state and comparing the results with the algorithms based on simulated classical and quantum annealing (SCA and SQA, respectively). The surprising result was that the operation of D-Wa ...
On the Utility of Entanglement in Quantum Neural Computing
... complete. Therefore, pc is also entangled, but not to the same degree as pw (because pc can be partially factorized but pw cannot). Thus there are different degrees of entanglement and much work has been done on better understanding and quantifying it [17] [18]. It is interesting to note from a comp ...
... complete. Therefore, pc is also entangled, but not to the same degree as pw (because pc can be partially factorized but pw cannot). Thus there are different degrees of entanglement and much work has been done on better understanding and quantifying it [17] [18]. It is interesting to note from a comp ...
Analytical method for determining quantum well exciton properties in
... direction perpendicular to the quantum well. We assume tight confinement in a thin quantum well, with the energy spacing between subbands much larger than the energy of the electron and hole motion in the quantum well plane. This allows us to restrict our considerations to single electron and hole s ...
... direction perpendicular to the quantum well. We assume tight confinement in a thin quantum well, with the energy spacing between subbands much larger than the energy of the electron and hole motion in the quantum well plane. This allows us to restrict our considerations to single electron and hole s ...
Universal Quantum Computation with the Exchange Interaction
... of these codes are not relevant to the present work; but they have the desired property that they consist of states with definite angular momentum quantum numbers. So, in principle, the problem has been solved: the Heisenberg interaction alone is universal and can be used for quantum computation. Ho ...
... of these codes are not relevant to the present work; but they have the desired property that they consist of states with definite angular momentum quantum numbers. So, in principle, the problem has been solved: the Heisenberg interaction alone is universal and can be used for quantum computation. Ho ...
Diamond NV centers for quantum computing and quantum
... electronic spin and the photon should be fully entangled. By measuring correlations between the spin state and photon polarization, it was possible to demonstrate spin-photon entanglement for the first time with a solid-state device.24 To generate entanglement between distant NV centers, the spins mu ...
... electronic spin and the photon should be fully entangled. By measuring correlations between the spin state and photon polarization, it was possible to demonstrate spin-photon entanglement for the first time with a solid-state device.24 To generate entanglement between distant NV centers, the spins mu ...
1203.3054v2
... Special relativity forbids superluminal influences. No-signalling (NS) principle is necessary for consistency of the theory of relativity and quantum mechanics. Any generalization of quantum theory, e.g., introducing nonlinear time evolution, must take the NS principle into account. It has been clai ...
... Special relativity forbids superluminal influences. No-signalling (NS) principle is necessary for consistency of the theory of relativity and quantum mechanics. Any generalization of quantum theory, e.g., introducing nonlinear time evolution, must take the NS principle into account. It has been clai ...
Bose-Einstein Condensate: Bridge between Matter/non
... precise flexible manipulation of BEC states could demonstrate that quantum contextuality might be an unsuspected overarching archetypal principle in nature, leading to new insight in regards to the interpretation of quantum mechanics as applied to all levels of nature. Moreover, it will be shown tha ...
... precise flexible manipulation of BEC states could demonstrate that quantum contextuality might be an unsuspected overarching archetypal principle in nature, leading to new insight in regards to the interpretation of quantum mechanics as applied to all levels of nature. Moreover, it will be shown tha ...
copyrighted material
... believe that the ultimate description of nature had been achieved. It seemed that all known physical phenomena could be explained within the framework of the general theories of matter and radiation. At the turn of the twentieth century, however, classical physics, which had been quite unassailable, ...
... believe that the ultimate description of nature had been achieved. It seemed that all known physical phenomena could be explained within the framework of the general theories of matter and radiation. At the turn of the twentieth century, however, classical physics, which had been quite unassailable, ...
Bohr–Einstein debates
The Bohr–Einstein debates were a series of public disputes about quantum mechanics between Albert Einstein and Niels Bohr. Their debates are remembered because of their importance to the philosophy of science. An account of the debates was written by Bohr in an article titled ""Discussions with Einsteinon Epistemological Problems in Atomic Physics"". Despite their differences of opinion regarding quantum mechanics, Bohr and Einstein had a mutual admiration that was to last the rest of their lives.The debates represent one of the highest points of scientific research in the first half of the twentieth century because it called attention to an element of quantum theory, quantum non-locality, which is absolutely central to our modern understanding of the physical world. The consensus view of professional physicists has been that Bohr proved victorious, and definitively established the fundamental probabilistic character of quantum measurement.