A short introduction to unitary 2-designs
... it satisfies some symmetries. Designs have existed in the mathematical world for hundreds of years. Many mathematical and physical structures, such as Latin squares, affine and projective planes, mutually unbiased bases, error correcting codes, and so much more, can be ultimately be shown to be some ...
... it satisfies some symmetries. Designs have existed in the mathematical world for hundreds of years. Many mathematical and physical structures, such as Latin squares, affine and projective planes, mutually unbiased bases, error correcting codes, and so much more, can be ultimately be shown to be some ...
Bose–Einstein condensation: Where many become one and so there is plenty of room at the bottom
... zero of temperature under its own vapour pressure. (Helium (4He) can be solidified only under pressure of about 25 atmospheres. This is because of its low atomic mass and weak inter-atomic attraction, giving it a large zero point energy – we call it a quantum liquid). The helium (4He), however, does ...
... zero of temperature under its own vapour pressure. (Helium (4He) can be solidified only under pressure of about 25 atmospheres. This is because of its low atomic mass and weak inter-atomic attraction, giving it a large zero point energy – we call it a quantum liquid). The helium (4He), however, does ...
Reply to criticism of the ‘Orch OR qubit’ – ‘Orchestrated... reduction’ is scientifically justified
... As remarked upon above, to ask for too much precision in our suggested mechanisms is, at this stage, an unreasonable request. Nevertheless, we have clearly specified our proposal for an Orch OR qubit, as the Orch OR helical dipole pathway that Reimers et al. appear to ignore. Unlike previous proposa ...
... As remarked upon above, to ask for too much precision in our suggested mechanisms is, at this stage, an unreasonable request. Nevertheless, we have clearly specified our proposal for an Orch OR qubit, as the Orch OR helical dipole pathway that Reimers et al. appear to ignore. Unlike previous proposa ...
A Classical-Light Attack on Energy-Time Entangled Quantum Key Distribution, and Countermeasures
... to Herodotus, the deception was so effective that it fooled not only the Persian customs, but almost the recipient as well. This method of Demeratus’, disguising a message where nobody would look, is called steganography. Not to be confused with the handwriting technique of stenography, there are nu ...
... to Herodotus, the deception was so effective that it fooled not only the Persian customs, but almost the recipient as well. This method of Demeratus’, disguising a message where nobody would look, is called steganography. Not to be confused with the handwriting technique of stenography, there are nu ...
An introduction to Quantum Complexity
... BQP is closed under complement BQP is closed under intersection (and union) ...
... BQP is closed under complement BQP is closed under intersection (and union) ...
On the conundrum of deriving exact solutions from approximate
... For a Gaussian P-function, all cumulants of bk and bk beyond second-order vanish [54]. Since fmn(t) is linear in these variables, the same is true for the cumulants in Eq. (37) and, consequently, only the terms with ‘ = 1, 2 contribute to this expansion. Evaluating the expansion coefficients explicit ...
... For a Gaussian P-function, all cumulants of bk and bk beyond second-order vanish [54]. Since fmn(t) is linear in these variables, the same is true for the cumulants in Eq. (37) and, consequently, only the terms with ‘ = 1, 2 contribute to this expansion. Evaluating the expansion coefficients explicit ...
Kitaev - Anyons
... Vectors in this space are quantum states that have almost the same energy (see discussion of topological quantum computation below). Historically, the theory of non-Abelian anyons emerged from conformal theory (CFT). However, only topological and algebraic structure in CFT is relevant to anyons. Diff ...
... Vectors in this space are quantum states that have almost the same energy (see discussion of topological quantum computation below). Historically, the theory of non-Abelian anyons emerged from conformal theory (CFT). However, only topological and algebraic structure in CFT is relevant to anyons. Diff ...
Bohr`s Complementarity and Kant`s Epistemology
... [Faye1991]. Through Høffding, Bohr was exposed to Kantian influences (partly reshaped by Høffding’s own rather pragmatist views). Even though Bohr himself did not bother to pinpoint his debt towards Kant, such influences are arguably responsible for the Kantian pattern that can be discerned amidst B ...
... [Faye1991]. Through Høffding, Bohr was exposed to Kantian influences (partly reshaped by Høffding’s own rather pragmatist views). Even though Bohr himself did not bother to pinpoint his debt towards Kant, such influences are arguably responsible for the Kantian pattern that can be discerned amidst B ...
AbMinPRL - University of Strathclyde
... Department of Physics, SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom (Received 7 October 2009; published 17 February 2010) The dilemma of identifying the correct form for the momentum of light in a medium has run for a century and has been informed by many distinguished contributio ...
... Department of Physics, SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom (Received 7 October 2009; published 17 February 2010) The dilemma of identifying the correct form for the momentum of light in a medium has run for a century and has been informed by many distinguished contributio ...
Code - Thiagarajar College
... To interpret the concepts of elasticity, viscosity, surface tension and gravity. To discuss the measurement of parameters of respective physical properties through theory and experiments. To appreciate the importance of properties of matter in other sciences including engineering and space app ...
... To interpret the concepts of elasticity, viscosity, surface tension and gravity. To discuss the measurement of parameters of respective physical properties through theory and experiments. To appreciate the importance of properties of matter in other sciences including engineering and space app ...
Quantum noise properties of multiphoton transitions in driven nonlinear resonators
... also nanomechanical devices which have been successfully realized in the deep quantum regime only recently [9–11]. In addition, quantum transport devices on the basis of molecular junctions have been realized where the interplay of charge transport and vibrational properties of the molecular bridge ...
... also nanomechanical devices which have been successfully realized in the deep quantum regime only recently [9–11]. In addition, quantum transport devices on the basis of molecular junctions have been realized where the interplay of charge transport and vibrational properties of the molecular bridge ...
Physics at the FQMT`11 conference
... of complicated biological systems and mechanisms in living cells. Apart from the investigation of mimetic systems, nano-devices (e.g. NEMS) provide us a possibility to ‘follow individual molecules’ in cells and manipulate them. This increases the possibility of a ‘symbiosis’ between biology and phys ...
... of complicated biological systems and mechanisms in living cells. Apart from the investigation of mimetic systems, nano-devices (e.g. NEMS) provide us a possibility to ‘follow individual molecules’ in cells and manipulate them. This increases the possibility of a ‘symbiosis’ between biology and phys ...
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.