Towards a Quantum Programming Language
... first contributions in this direction is an article by Knill (1996). While not proposing an actual programming language, Knill outlines a set of basic principles for writing pseudo-code for quantum algorithms. These principles have influenced the design of some later language designs. The first actu ...
... first contributions in this direction is an article by Knill (1996). While not proposing an actual programming language, Knill outlines a set of basic principles for writing pseudo-code for quantum algorithms. These principles have influenced the design of some later language designs. The first actu ...
Breakdown of the Standard Model
... in clean systems, and for d>0 in disordered ones. ■ Landau free energy density: f = f0 – h m + t m2 + u m4 + w m6 Equation of state: h = t m + u m3 + w m5 + … ■ Landau theory predicts: ● 2nd order transition at t=0 if u<0 ● 1st order transition if u<0 ...
... in clean systems, and for d>0 in disordered ones. ■ Landau free energy density: f = f0 – h m + t m2 + u m4 + w m6 Equation of state: h = t m + u m3 + w m5 + … ■ Landau theory predicts: ● 2nd order transition at t=0 if u<0 ● 1st order transition if u<0 ...
QUANTUM COMPUTING WITH SUPERCONDUCTORS I: ARCHITECTURES Michael R. Geller Andrew T. Sornborger
... principal effect of fixed, weak couplings is to lift degeneracies of the uncoupled qubit pair. However, because such interactions are always present (always turned on), the uncoupled qubit states, which are often used as computational basis states, are not stationary. A variety of approaches have be ...
... principal effect of fixed, weak couplings is to lift degeneracies of the uncoupled qubit pair. However, because such interactions are always present (always turned on), the uncoupled qubit states, which are often used as computational basis states, are not stationary. A variety of approaches have be ...
Number Archetypes and “Background” Control Theory Concerning
... In his Nobel Lecture7 Pauli summarizes the epistemological conclusion: “From the point of view of logic, my report on ‘Exclusion principle and quantum mechanics’ has no conclusion. I believe that it will only be possible to write the conclusion if a theory will be established which will determine th ...
... In his Nobel Lecture7 Pauli summarizes the epistemological conclusion: “From the point of view of logic, my report on ‘Exclusion principle and quantum mechanics’ has no conclusion. I believe that it will only be possible to write the conclusion if a theory will be established which will determine th ...
Topos logic in measurement-based quantum computation
... digital) computation. The quantum analogue—the relationship between quantum computation and ‘quantum logic’—has thus far remained largely unexplored (though there are exceptions; e.g. [15] for a version of ‘quantum computational logic’). In this paper, we make some inroads into this territory. Soon ...
... digital) computation. The quantum analogue—the relationship between quantum computation and ‘quantum logic’—has thus far remained largely unexplored (though there are exceptions; e.g. [15] for a version of ‘quantum computational logic’). In this paper, we make some inroads into this territory. Soon ...
Coupled-mode theory for general free-space resonant scattering of waves
... in these cases, the nonresonant background contribution 共⬃b2兲 to the cross section dominates over the resonant part 共⬃2 / 2兲; thus, the resonant phenomenon, although well modeled, is not very pronounced. In the above treatment of scattering from a spherically symmetric resonant object, the angula ...
... in these cases, the nonresonant background contribution 共⬃b2兲 to the cross section dominates over the resonant part 共⬃2 / 2兲; thus, the resonant phenomenon, although well modeled, is not very pronounced. In the above treatment of scattering from a spherically symmetric resonant object, the angula ...
Consciousness as a State of Matter
... observed system. Finally, out of all of the possible factorizations of Hilbert space, why is the particular factorization corresponding to classical space so special? Why do we observers perceive ourselves are fairly local in real space as opposed to Fourier space, say, which according to the formal ...
... observed system. Finally, out of all of the possible factorizations of Hilbert space, why is the particular factorization corresponding to classical space so special? Why do we observers perceive ourselves are fairly local in real space as opposed to Fourier space, say, which according to the formal ...
Bohr model and dimensional scaling analysis of
... Applied Physics and Materials Science Group, Engineering Quad, Princeton Univ., Princeton 08544 (Dated: January 5, 2008) It is generally believed that the old quantum theory, as presented by Niels Bohr in 1913, fails when applied to few electron systems, such as the H2 molecule. Here we review recen ...
... Applied Physics and Materials Science Group, Engineering Quad, Princeton Univ., Princeton 08544 (Dated: January 5, 2008) It is generally believed that the old quantum theory, as presented by Niels Bohr in 1913, fails when applied to few electron systems, such as the H2 molecule. Here we review recen ...
PowerPoint - Subir Sachdev
... small U/t, to small values at large U/t, and there is no quantum phase transition at any intermediate value of U/t. (In systems with Galilean invariance and at zero temperature, superfluid density=density of bosons always, independent of the strength of the interactions) ...
... small U/t, to small values at large U/t, and there is no quantum phase transition at any intermediate value of U/t. (In systems with Galilean invariance and at zero temperature, superfluid density=density of bosons always, independent of the strength of the interactions) ...
Chapter 2 Challenging the Boundaries between Classical and
... In 1913, a new element entered the story: Bohr’s quantum model of the atom. In the series of papers he published that year (Bohr 1913a; 1913b; 1913c), Bohr assumed new laws of atomic stability derived from the introduction of a single parameter that was completely foreign to classical electrodynamic ...
... In 1913, a new element entered the story: Bohr’s quantum model of the atom. In the series of papers he published that year (Bohr 1913a; 1913b; 1913c), Bohr assumed new laws of atomic stability derived from the introduction of a single parameter that was completely foreign to classical electrodynamic ...
Introduction to Quantum Information and Computation for Chemistry
... state of a physical system. If the physical system obeys classical laws of physics, such as a classical computer, the information stored there is of “classical” nature. To quantify information, the concept of bit has been introduced and defined as the basic unit of information. A bit of information ...
... state of a physical system. If the physical system obeys classical laws of physics, such as a classical computer, the information stored there is of “classical” nature. To quantify information, the concept of bit has been introduced and defined as the basic unit of information. A bit of information ...
Full-text PDF - American Mathematical Society
... a compact Riemannian manifold (M, g), which for simplicity we assume has no boundary. The Laplacian is replaced by the Laplace-Beltrami operator g for the metric and the classical mechanics is that of motion by geodesics on X = T1 (M ), the space of unit tangent vectors over M . For an eigenfunctio ...
... a compact Riemannian manifold (M, g), which for simplicity we assume has no boundary. The Laplacian is replaced by the Laplace-Beltrami operator g for the metric and the classical mechanics is that of motion by geodesics on X = T1 (M ), the space of unit tangent vectors over M . For an eigenfunctio ...
Weyl--Heisenberg Representations in Communication Theory
... corresponds to time shifts. Hence, in this view it is simpler to work with a joint diagonalization. Following, the description of such operations are reduced to its spectral representation. However, this is not sufficient to describe most of the problems occurring in physics and engineering. One may ...
... corresponds to time shifts. Hence, in this view it is simpler to work with a joint diagonalization. Following, the description of such operations are reduced to its spectral representation. However, this is not sufficient to describe most of the problems occurring in physics and engineering. One may ...
Microscopic quantum coherence in a photosynthetic-light
... (3.4) [52]. Following these lines of thought, the appearance of a classical world in quantum theory has been explored [51,52,55,56]. On the other hand, an example of fake decoherence is to interpret the result of an ensemble average over different noisy realizations of a system as the description of ...
... (3.4) [52]. Following these lines of thought, the appearance of a classical world in quantum theory has been explored [51,52,55,56]. On the other hand, an example of fake decoherence is to interpret the result of an ensemble average over different noisy realizations of a system as the description of ...
Interaction- and measurement-free quantum Zeno gates for universal computation
... limited by information-destroying short-range interactions 共collisions兲. In order to avoid this limitation, one can use single isolated trapped atoms, which then requires a highfinesse optical resonator in the strong-coupling regime, and/or the use of highly nonclassical light pulses 关27兴. In cavity ...
... limited by information-destroying short-range interactions 共collisions兲. In order to avoid this limitation, one can use single isolated trapped atoms, which then requires a highfinesse optical resonator in the strong-coupling regime, and/or the use of highly nonclassical light pulses 关27兴. In cavity ...
view Pdf - Informatik - FB3
... in the scope of this paper we are considering circuits that realize pure Boolean functionality but still need to be realized using quantum gates in order to embed them into quantum algorithms such as Deutsch-Josza, Grover, or Shor. Toffoli gates represent a unitary matrix and are hence suitable for ...
... in the scope of this paper we are considering circuits that realize pure Boolean functionality but still need to be realized using quantum gates in order to embed them into quantum algorithms such as Deutsch-Josza, Grover, or Shor. Toffoli gates represent a unitary matrix and are hence suitable for ...
Time in Thermodynamics
... An alternative view, advocated by Horwich (1987) and Albert (2000, ch. 1), holds that particle velocities aren’t intrinsic features of instantaneous states to begin with. If velocities aren’t included in the fundamental state of a system at a time, then when we line up the instantaneous states in re ...
... An alternative view, advocated by Horwich (1987) and Albert (2000, ch. 1), holds that particle velocities aren’t intrinsic features of instantaneous states to begin with. If velocities aren’t included in the fundamental state of a system at a time, then when we line up the instantaneous states in re ...
Edge-mode superconductivity in a two
... in the interference lobes. An example is shown in Fig. 5a. This 2Φ0-periodic effect is also seen in another device with different contact material (Supplementary Fig. 12). In the conventional Dynes and Fulton analysis this would require a current density profile containing three peaks, two at the edg ...
... in the interference lobes. An example is shown in Fig. 5a. This 2Φ0-periodic effect is also seen in another device with different contact material (Supplementary Fig. 12). In the conventional Dynes and Fulton analysis this would require a current density profile containing three peaks, two at the edg ...