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... where the graphs are represented by their adjacency matrices, and querying the graph corresponds to reading a single entry from its adjacency matrix. The goal in isomorphism testing is to determine, with high probability, whether two graphs G and H are isomorphic or -far from being isomorphic, maki ...
... where the graphs are represented by their adjacency matrices, and querying the graph corresponds to reading a single entry from its adjacency matrix. The goal in isomorphism testing is to determine, with high probability, whether two graphs G and H are isomorphic or -far from being isomorphic, maki ...
Full text in PDF form
... In this paper, we also consider the issue of causality at the Planck scale in the framework of causal sets, although our results do not promote this aspect as decisively as in [12]. In our opinion, the very concept of causality makes sense in the quasi-classical limit, in relation with the fact that ...
... In this paper, we also consider the issue of causality at the Planck scale in the framework of causal sets, although our results do not promote this aspect as decisively as in [12]. In our opinion, the very concept of causality makes sense in the quasi-classical limit, in relation with the fact that ...
PDF
... the Margolus-Levitin bound. Swap attains the power/ capacity limit of Eq. (1) above. It does so coherently and without dissipation in principle. As noted above, a variety of microscopic physical systems including existing quantum logic devices can swap information from one place to another at rates ...
... the Margolus-Levitin bound. Swap attains the power/ capacity limit of Eq. (1) above. It does so coherently and without dissipation in principle. As noted above, a variety of microscopic physical systems including existing quantum logic devices can swap information from one place to another at rates ...
Lecture 2 - Tufts University
... quantized)---line spectra of elements such as H. •It is impossible to measure simultaneously with complete precision both the position and the velocity of an electron (or a particle). (Heisenberg uncertainty principle) •Think in terms of a probability of finding a particle within a given space at a ...
... quantized)---line spectra of elements such as H. •It is impossible to measure simultaneously with complete precision both the position and the velocity of an electron (or a particle). (Heisenberg uncertainty principle) •Think in terms of a probability of finding a particle within a given space at a ...
Midterms: Place, Rules, How to study
... PLACE AND TIME: Friday, September 16 we have the first midterm, covering Units 1-6. All midterms will be during regular class hours but will take place in the S Beh auditorium which is located south of the Marriott Library - check it out on the campus map. If possible, please be there at least 5 min ...
... PLACE AND TIME: Friday, September 16 we have the first midterm, covering Units 1-6. All midterms will be during regular class hours but will take place in the S Beh auditorium which is located south of the Marriott Library - check it out on the campus map. If possible, please be there at least 5 min ...
PDF ∗ , 88K - UCLA Chemistry and Biochemistry
... The quantum effect of destructive interference may be used within the molecular device to switch its conductance on and off. If the transmission in the cross-linker is hampered, the destructive interference disappears and conductance resumes. This can be seen in Figure 4, where the mere raising of t ...
... The quantum effect of destructive interference may be used within the molecular device to switch its conductance on and off. If the transmission in the cross-linker is hampered, the destructive interference disappears and conductance resumes. This can be seen in Figure 4, where the mere raising of t ...
Quantum Physics 2005 Notes-8 Three-dimensional Schrodinger Equation Notes 8
... = x y, p y pz + y zp y , px + zp y , y px = x y, p y pz $ y px , zp y $ y, zp y px = x y, p y pz $ yz px , p y $ y [ px , z ] p y $ z y, p y px $ [ y, z ] p y px = x y, p y pz $ 0 $ 0 $ z y, p y px $ 0 = ih { xpz $ zpx } = $ihLy Simil ...
... = x y, p y pz + y zp y , px + zp y , y px = x y, p y pz $ y px , zp y $ y, zp y px = x y, p y pz $ yz px , p y $ y [ px , z ] p y $ z y, p y px $ [ y, z ] p y px = x y, p y pz $ 0 $ 0 $ z y, p y px $ 0 = ih { xpz $ zpx } = $ihLy Simil ...
Conservation Laws and the Quantum Theory of Transport: The Early
... Conservation laws and correlation functions.8 In preparing for this talk, I scoured through old notes in Urbana, and came upon the original typewritten draft of the paper, which contains both Leo’s and my handwriting, titled, Conservation laws and the quantum theory of transport. Recognizing his piv ...
... Conservation laws and correlation functions.8 In preparing for this talk, I scoured through old notes in Urbana, and came upon the original typewritten draft of the paper, which contains both Leo’s and my handwriting, titled, Conservation laws and the quantum theory of transport. Recognizing his piv ...
Quantum telescopes
... William Herschel and his sister Caroline in the late 18th century. Its aperture diameter of 1.2 m was gigantic for the time. Accordingly, the costs greatly exceeded the initial estimates – a familiar tale in modern telescope construction. But Herschel had discovered a planet in 1781 and had called i ...
... William Herschel and his sister Caroline in the late 18th century. Its aperture diameter of 1.2 m was gigantic for the time. Accordingly, the costs greatly exceeded the initial estimates – a familiar tale in modern telescope construction. But Herschel had discovered a planet in 1781 and had called i ...
The Theory Formerly Known as Strings
... evidence in favor of this theory is appearing daily, representing the most exciting development since strings first swept onto the scene. M-theory, like string theory, relies crucially on the idea of supersymmetry. Physicists divide particles into two classes, according to their inherent angular ...
... evidence in favor of this theory is appearing daily, representing the most exciting development since strings first swept onto the scene. M-theory, like string theory, relies crucially on the idea of supersymmetry. Physicists divide particles into two classes, according to their inherent angular ...
Electronic structure of rectangular quantum dots
... correspond to spin-density waves 共SDW兲 found in the weakconfinement limit of parabolic quantum dots and represent energetically stable and accurate solutions.2,14,15 Akbar and Lee16 also used the SDFT to calculate the addition energy spectrum for square quantum dots with different sizes. Until now, ...
... correspond to spin-density waves 共SDW兲 found in the weakconfinement limit of parabolic quantum dots and represent energetically stable and accurate solutions.2,14,15 Akbar and Lee16 also used the SDFT to calculate the addition energy spectrum for square quantum dots with different sizes. Until now, ...
REF2
... it in modern terms inspired by quantum-information theory. In science in general, all experimental evidence takes the form of conditional probabilities: if observer Ai performs the experiment labelled xi, she observes ai and in general the probability for all of the possible results is written P(a1… ...
... it in modern terms inspired by quantum-information theory. In science in general, all experimental evidence takes the form of conditional probabilities: if observer Ai performs the experiment labelled xi, she observes ai and in general the probability for all of the possible results is written P(a1… ...
Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)
... Special Relativity). Moreover the Lorentzian signature (namely (−+++) in 4 dimensions) is singled out as the only one compatible with a consistent distinction between past and future, hence the only one that can make contact with the idea of causal order. To see how these basic ideas work themselves ...
... Special Relativity). Moreover the Lorentzian signature (namely (−+++) in 4 dimensions) is singled out as the only one compatible with a consistent distinction between past and future, hence the only one that can make contact with the idea of causal order. To see how these basic ideas work themselves ...
Computing Systems
... • Understanding the universe itself from the point of view of information processing. The Zuse-Fredkin thesis, dating back to the 1960s, states that the entire universe is a huge cellular automaton which continuously updates its rules. Recently it has been suggested that the whole universe is a quan ...
... • Understanding the universe itself from the point of view of information processing. The Zuse-Fredkin thesis, dating back to the 1960s, states that the entire universe is a huge cellular automaton which continuously updates its rules. Recently it has been suggested that the whole universe is a quan ...
Chapter 12 Probability, Expectation Value and Uncertainty
... We have seen that the physically observable properties of a quantum system are represented by Hermitean operators (also referred to as ‘observables’) such that the eigenvalues of the operator represents all the possible results that could be obtained if the associated physical observable were to be ...
... We have seen that the physically observable properties of a quantum system are represented by Hermitean operators (also referred to as ‘observables’) such that the eigenvalues of the operator represents all the possible results that could be obtained if the associated physical observable were to be ...