Toward a software architecture for quantum computing design tools
... usual Dirac notation. Q [5] is an extension of C++ that is designed with a clear separation of quantum and classical procedures. It builds a quantum operator as a data object rather than as a function to allow for run-time optimizations and easy compositions. But again, this language is based on Dir ...
... usual Dirac notation. Q [5] is an extension of C++ that is designed with a clear separation of quantum and classical procedures. It builds a quantum operator as a data object rather than as a function to allow for run-time optimizations and easy compositions. But again, this language is based on Dir ...
Contextualizing Concepts using a Mathematical Generalization of
... in the world’ (p. 148). Rips (1995) refers to this as the No Peeking Principle. Rips’ own version of a dual theory distinguishes between representations-of and representations-about, both of which are said to play a role in conjunction. However, he does not claim to have solved the problem of how t ...
... in the world’ (p. 148). Rips (1995) refers to this as the No Peeking Principle. Rips’ own version of a dual theory distinguishes between representations-of and representations-about, both of which are said to play a role in conjunction. However, he does not claim to have solved the problem of how t ...
Complexity Limitations on Quantum Computation 1 Introduction
... For the rest of the paper, we will assume that the pairing function is implicitly used whenever we have a function of two or more arguments. We can also define many interesting counting classes using GapP functions. For this paper we consider the following classes. Definition 2.3 The class PP consis ...
... For the rest of the paper, we will assume that the pairing function is implicitly used whenever we have a function of two or more arguments. We can also define many interesting counting classes using GapP functions. For this paper we consider the following classes. Definition 2.3 The class PP consis ...
Field Theory on Curved Noncommutative Spacetimes
... for all ω, ω 0 ∈ Ω• with deg(ω) + deg(ω 0 ) = dim(M) and supp(ω) ∩ supp(ω 0 ) compact (in order to avoid boundary terms). This property, called graded cyclicity, simplifies the derivation of the equations of motion. Note that, although graded cyclicity is fulfilled for all RJS-twists (2.5), for the ...
... for all ω, ω 0 ∈ Ω• with deg(ω) + deg(ω 0 ) = dim(M) and supp(ω) ∩ supp(ω 0 ) compact (in order to avoid boundary terms). This property, called graded cyclicity, simplifies the derivation of the equations of motion. Note that, although graded cyclicity is fulfilled for all RJS-twists (2.5), for the ...
Quantum Rotations: A Case Study in Static and Dynamic Machine
... Since the landmark Nature paper in 2000 [26] describing a technology for scalable quantum computation (part of the work for which Wineland received this year’s Nobel prize in physics), interest in practical quantum computation has grown significantly. Recent announcements by commercial effort D-Wave ...
... Since the landmark Nature paper in 2000 [26] describing a technology for scalable quantum computation (part of the work for which Wineland received this year’s Nobel prize in physics), interest in practical quantum computation has grown significantly. Recent announcements by commercial effort D-Wave ...
Loop Quantum Gravity and Its Consistency
... Many of the advances in physics since the early 20th century have been propelled by two theories: General Relativity and Quantum Mechanics. From their inception, both these branches of physics revolutionised scientific thinking and brought about radical (at that time) new moves away from classical p ...
... Many of the advances in physics since the early 20th century have been propelled by two theories: General Relativity and Quantum Mechanics. From their inception, both these branches of physics revolutionised scientific thinking and brought about radical (at that time) new moves away from classical p ...
Supercurrent through a multilevel quantum dot - FU Berlin
... parameter dependencies of the current, are just as they are in a single-level case, the magnitude of J changes discontinuously at B = t in one of the phases. This indicates an additional firstorder (singlet-triplet) quantum phase transition. Treating the problem within a functional renormalization g ...
... parameter dependencies of the current, are just as they are in a single-level case, the magnitude of J changes discontinuously at B = t in one of the phases. This indicates an additional firstorder (singlet-triplet) quantum phase transition. Treating the problem within a functional renormalization g ...
high-temperature superconductivity from short
... thus proposed wherein a cluster of sites (instead of a single site) is embedded in an infinite bath of non-interacting electrons. There are two popular ways of doing this [23,24] that become identical if the cluster is large enough. Generically one calls these methods quantum cluster methods [25,26] ...
... thus proposed wherein a cluster of sites (instead of a single site) is embedded in an infinite bath of non-interacting electrons. There are two popular ways of doing this [23,24] that become identical if the cluster is large enough. Generically one calls these methods quantum cluster methods [25,26] ...
Solution of the Lindblad equation for spin helix states arXiv
... focus on one-dimensional spin chains, which are of great current interest. However, it will transpire that analogous SHS will appear also in higher dimensions with an appropriate choice of Lindblad boundary driving. The 1-d SHS generalizes the asymptotic state in the isotropic Heisenberg chain (XXX- ...
... focus on one-dimensional spin chains, which are of great current interest. However, it will transpire that analogous SHS will appear also in higher dimensions with an appropriate choice of Lindblad boundary driving. The 1-d SHS generalizes the asymptotic state in the isotropic Heisenberg chain (XXX- ...
A blueprint for building a quantum computer
... goals, its interfaces to the classical control logic, and the design of the classical control systems are all the responsibility of quantum computer architects. In this article, we review the progress that has been made in developing architectures for full-scale quantum computers. We highlight the p ...
... goals, its interfaces to the classical control logic, and the design of the classical control systems are all the responsibility of quantum computer architects. In this article, we review the progress that has been made in developing architectures for full-scale quantum computers. We highlight the p ...
Three problems from quantum optics
... properties (the so-called local oscillator). Homodyne detection is a phase-sensitive method and it enables a direct measurement of quadratures, basic quantities used for describing the quantized electromagnetic field. Many important quantum-optical experiments are literally based on homodyne detecti ...
... properties (the so-called local oscillator). Homodyne detection is a phase-sensitive method and it enables a direct measurement of quadratures, basic quantities used for describing the quantized electromagnetic field. Many important quantum-optical experiments are literally based on homodyne detecti ...
Max Born
Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his ""fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"".Born was born in 1882 in Breslau, then in Germany, now in Poland and known as Wrocław. He entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of ""Stability of Elastica in a Plane and Space"", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.In the First World War after originally being placed as a radio operator, due to his specialist knowledge he was moved to research duties regarding sound ranging. In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.