Quantum Computing
... list. Such algorithms prove that a quantum computer of sufficiently precise construction is not only fundamentally different from any computer which can only manipulate classical information, but can compute a small class of functions with greater efficiency. This implies that some important computa ...
... list. Such algorithms prove that a quantum computer of sufficiently precise construction is not only fundamentally different from any computer which can only manipulate classical information, but can compute a small class of functions with greater efficiency. This implies that some important computa ...
quant-ph/0608013 PDF
... quantum adiabatic algorithm, and move towards what is typically understood by a quantum phase transition, briefly sketching how this relates to renormalization and conformal field theory. We also comment briefly on some possible experimental implementations of quantum computers. ...
... quantum adiabatic algorithm, and move towards what is typically understood by a quantum phase transition, briefly sketching how this relates to renormalization and conformal field theory. We also comment briefly on some possible experimental implementations of quantum computers. ...
Spin and Charge Transport through Driven Quantum Dot Systems
... dimensional conductors–, single atomic or molecular junctions. Among them, quantum dots deserve special importance for being a realization of zero dimensional systems with a discrete energy distribution. For this reason, they are also know as artificial atoms[2, 3, 4, 5], with the particularity that ...
... dimensional conductors–, single atomic or molecular junctions. Among them, quantum dots deserve special importance for being a realization of zero dimensional systems with a discrete energy distribution. For this reason, they are also know as artificial atoms[2, 3, 4, 5], with the particularity that ...
Challenges to the Second Law of Thermodynamics - Exvacuo
... peer pressure against such inquiry. It is remarkable that 20th century physics, which embraced several radical paradigm shifts, was unwilling to wrestle with this remnant of 19th century physics, whose foundations were admittedly suspect and largely unmodified by the discoveries of the succeeding cen ...
... peer pressure against such inquiry. It is remarkable that 20th century physics, which embraced several radical paradigm shifts, was unwilling to wrestle with this remnant of 19th century physics, whose foundations were admittedly suspect and largely unmodified by the discoveries of the succeeding cen ...
Realism, rationalism and scientific method
... Criticism means that we do not simply accept the phenomena, processes, institutions that surround us but we examine them and try to change them. Criticism is facilitated by proliferation (vol. 1, ch. 8): we do not work with a single theory, system of thought, institutional framework until circumstan ...
... Criticism means that we do not simply accept the phenomena, processes, institutions that surround us but we examine them and try to change them. Criticism is facilitated by proliferation (vol. 1, ch. 8): we do not work with a single theory, system of thought, institutional framework until circumstan ...
Quantum Measurement Theory
... will get the result y = 0, and if x = 1 it is more likely that we will get y = 1. Now assume that we initially know nothing about x, so that our prior state of knowledge is P (0) = 0.5 = P (1). What happens when we make the measurement and get the result y = 1? Since our prior is uniform, Bayes’ the ...
... will get the result y = 0, and if x = 1 it is more likely that we will get y = 1. Now assume that we initially know nothing about x, so that our prior state of knowledge is P (0) = 0.5 = P (1). What happens when we make the measurement and get the result y = 1? Since our prior is uniform, Bayes’ the ...
Dealing with ignorance: universal discrimination, learning and quantum correlations Gael Sentís Herrera
... further, this is the technique that the statisticians used to come up with the number 246. It is, though, a particular way of handling available information and uncertainty, and certainly not the only possible approach. There is an alternative solution to this problem that, involving different assum ...
... further, this is the technique that the statisticians used to come up with the number 246. It is, though, a particular way of handling available information and uncertainty, and certainly not the only possible approach. There is an alternative solution to this problem that, involving different assum ...
Springer Tracts in Modern Physics
... the one side and macroscopic, traditional condensed-matter systems on the other side.1 These structures, which are less than or of the order of a micron in size, represent a challenge to experimentalists, since they demand elaborate fabrication processes and involve delicate measurements. The motiva ...
... the one side and macroscopic, traditional condensed-matter systems on the other side.1 These structures, which are less than or of the order of a micron in size, represent a challenge to experimentalists, since they demand elaborate fabrication processes and involve delicate measurements. The motiva ...
Subbarrier Fusion Reactions and Many
... energies below the Coulomb barrier as compared with the predictions of a simple potential model.12)–18) Heavy-ion subbarrier fusion reactions thus make good examples of environment-assisted tunneling phenomena. Theoretically, the standard way to address the effects of the couplings between the relati ...
... energies below the Coulomb barrier as compared with the predictions of a simple potential model.12)–18) Heavy-ion subbarrier fusion reactions thus make good examples of environment-assisted tunneling phenomena. Theoretically, the standard way to address the effects of the couplings between the relati ...
PDF - at www.arxiv.org.
... restricts the number of dynamics that are accessible and as a consequence the correlations that can be generated. On the other hand, the extraction of these correlations from the system is generally nontrivial, in particular, time-correlation functions are known to be demanding to extract due to th ...
... restricts the number of dynamics that are accessible and as a consequence the correlations that can be generated. On the other hand, the extraction of these correlations from the system is generally nontrivial, in particular, time-correlation functions are known to be demanding to extract due to th ...
Quantum Memory in Atomic Ensembles - Oxford Physics
... Thanks to my Oxford massif, Andy Scott and Tom Rowlands-Rees, who know a good lunch when they see one. And in that vein, thanks to Matthijs Branderhorst, who along with Ben, introduced me to the burrito. There is a growing ultrafast diaspora — good people in far-off places — and of these I should li ...
... Thanks to my Oxford massif, Andy Scott and Tom Rowlands-Rees, who know a good lunch when they see one. And in that vein, thanks to Matthijs Branderhorst, who along with Ben, introduced me to the burrito. There is a growing ultrafast diaspora — good people in far-off places — and of these I should li ...
Spins in quantum dots: Hyperfine interaction, transport, and
... R time-ordering operator. If the exchange is pulsed on for a time τs such that J(t)dt/~ = J0 τs /~ = π, the states of the two spins, with associated operators SL and SR , will be exchanged. This is the swap operation. Pulsing the exchange for the shorter time τs /2 generates the “square-root of swap ...
... R time-ordering operator. If the exchange is pulsed on for a time τs such that J(t)dt/~ = J0 τs /~ = π, the states of the two spins, with associated operators SL and SR , will be exchanged. This is the swap operation. Pulsing the exchange for the shorter time τs /2 generates the “square-root of swap ...
Root Finding
... there. If f (a) · f (b) < 0, then, from the Intermediate Value Theorem (see Problem 6.0.1), there is a point x∗ ∈ [c, d] where f (x∗ ) = 0. That is, if the function f is continuous and changes sign on an interval, then it must have at least one root in that interval. We will exploit this property in ...
... there. If f (a) · f (b) < 0, then, from the Intermediate Value Theorem (see Problem 6.0.1), there is a point x∗ ∈ [c, d] where f (x∗ ) = 0. That is, if the function f is continuous and changes sign on an interval, then it must have at least one root in that interval. We will exploit this property in ...
... . However, this result shows that the temperature of a a temperature TH = 2π black hole is inversely proportional to its mass, having thus a negative specific heat. Therefore when a black hole radiates it loses its mass, it evaporates and eventually disappears, and this fact will lead us to the infor ...
The averaged dynamics of the hydrogen atom in crossed electric
... Since hH1 iΛ does not depend on M and Ω, hHiΛ is in effect a one-degree-of-freedom Hamiltonian, depending on K and Λ as on parameters. A standard result from averaging theory (see Appendix A) states that the equations (19) are a good approximation of the equations (16), in the sense that • orbits of ...
... Since hH1 iΛ does not depend on M and Ω, hHiΛ is in effect a one-degree-of-freedom Hamiltonian, depending on K and Λ as on parameters. A standard result from averaging theory (see Appendix A) states that the equations (19) are a good approximation of the equations (16), in the sense that • orbits of ...
23 - Electronic Colloquium on Computational Complexity
... context of the Nonabelian Hidden Subgroup Problem and quantum interactive proof systems, but they are much broader than that. One important application is the problem of “public-key quantum money” – that is, quantum states that can be authenticated by anyone, but only created or copied by a central ...
... context of the Nonabelian Hidden Subgroup Problem and quantum interactive proof systems, but they are much broader than that. One important application is the problem of “public-key quantum money” – that is, quantum states that can be authenticated by anyone, but only created or copied by a central ...
Explicit Polarization Theory - Comp Chem
... and the order of correction, rendering this approach impractical beyond two-body correction terms. Thus in using this approach, it is critical to define the reference state for the monomer energies such that the higher-order correction terms are negligible. However, when the X-Pol method is used as ...
... and the order of correction, rendering this approach impractical beyond two-body correction terms. Thus in using this approach, it is critical to define the reference state for the monomer energies such that the higher-order correction terms are negligible. However, when the X-Pol method is used as ...
Renormalization group
In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.