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Detected-jump-error-correcting quantum codes - IAP TU
Detected-jump-error-correcting quantum codes - IAP TU

... subspace. For a given number of N qubits the dimension K D of such a decoherence-free subspace is given by K D ⫽( wN ) which is maximal if w⫽ b N/2c . ( b x c denotes the largest integer smaller or equal to x.兲 In general, the first spontaneous emission of a photon will affect the quantum state of t ...
Optimal quantum cloning of orbital angular momentum photon
Optimal quantum cloning of orbital angular momentum photon

... may cut down substantially the noise and losses arising from the imperfect generation and detection efficiency, by reducing the total number of photons needed in a given process. Qudit-based quantum information protocols may also offer better theoretical performances than their qubit equivalents11,12 , ...
Copenhagen interpretation From Wikipedia, the free encyclopedia
Copenhagen interpretation From Wikipedia, the free encyclopedia

... entities that fit neither the classical ideas of particles nor the classical ideas of waves, elementary particles that behaved in ways highly regular when many similar interactions were analyzed yet highly unpredictable when one tried to predict things like individual trajectories through a simple p ...
Superradiance, subradiance, and suppressed superradiance of
Superradiance, subradiance, and suppressed superradiance of

... coupling between the emitters. Because in free space the dyadic Green’s function is diagonal with respect to radiation polarization, and because the emitters are only driven along the z-axis, there is only coupling between the z-components of oscillations. Placing the two emitters close to the metal ...
Ch 7 momentum notes
Ch 7 momentum notes

... momentum is a vector quantity ........has both magnitude and direction momentum can be canceled by equal and opposite momentum *if no net force or net impulse acts on a system, the momentum of that system cannot change -momentum of a system cannot change unless it is acted on by external forces -a s ...
JavaGenes: Evolving Molecular Force Field Parameters
JavaGenes: Evolving Molecular Force Field Parameters

... |a-b|/(|a|+|b|) where a and b are the calculated and externally supplied energies, respectively, and (iii) RMS of |c-d|/(|c|+|d|) where c and d are the calculated and externally supplied forces, respectively. The first is an accepted measure of deviation, but has problems when the absolute value of ...
Impulse and Momentum Review
Impulse and Momentum Review

... 7.2 The Principle of Conservation of Linear Momentum We’ve seen that if you want to change the momentum of an object or a system of objects, Newton’s second law says that you have to apply an unbalanced force. This implies that if there are no unbalanced forces acting on a system, the total momentum ...
The Dance of Molecules - American Chemical Society
The Dance of Molecules - American Chemical Society

Interacting Quantum Observables: Categorical Algebra and
Interacting Quantum Observables: Categorical Algebra and

Probabilistic interpretation of resonant states
Probabilistic interpretation of resonant states

Theoretical Studies of Ground and Excited State Reactivity
Theoretical Studies of Ground and Excited State Reactivity

Phases of correlated spinless fermions on the honeycomb lattice
Phases of correlated spinless fermions on the honeycomb lattice

Why Philosophers Should Care About Computational Complexity Scott Aaronson
Why Philosophers Should Care About Computational Complexity Scott Aaronson

Anvil or Onion? Determinism as a Layered Concept Robert C
Anvil or Onion? Determinism as a Layered Concept Robert C

TT 49: Transport: Topological Semimetals 2 (jointly with DS, MA, HL
TT 49: Transport: Topological Semimetals 2 (jointly with DS, MA, HL

... A3 EO, where A denotes an alkaline earth metal, while E stands for Pb or Sn. The low-energy electronic properties of this family of antiperovskites is described by three-dimensional Dirac fermions, which are gapped out by spin-orbit coupling [1-3]. We discuss the magnetic response of this Dirac elec ...
Codes and designs for quantum error correction
Codes and designs for quantum error correction

... of how combinatorial designs have been applied to LDPC codes in the context of quantum error correction assisted by less noisy qubits. The Tanner graph of an parity-check matrix is the bipartite graph consisting of bit vertices indexed by bits of the corresponding code and $m$ parity-check vertices ...
MA 42: Transport: Topological Semimetals 2 (jointly with DS, MA, HL
MA 42: Transport: Topological Semimetals 2 (jointly with DS, MA, HL

... A3 EO, where A denotes an alkaline earth metal, while E stands for Pb or Sn. The low-energy electronic properties of this family of antiperovskites is described by three-dimensional Dirac fermions, which are gapped out by spin-orbit coupling [1-3]. We discuss the magnetic response of this Dirac elec ...
Two-Fluid Model for Heavy Electron Physics
Two-Fluid Model for Heavy Electron Physics

Paper
Paper

... In this Letter, we have not focused on the effects of the occupation number on Bragg scattering. In principle, the atomic wave functions are more extended for higher occupation numbers, but this effect is small for our parameters. However, light scattering at higher occupation numbers will have an i ...
Topological map of the Hofstadter butterfly: Fine structure of Chern
Topological map of the Hofstadter butterfly: Fine structure of Chern

Edge state transport - Penn Physics
Edge state transport - Penn Physics

Decoherence and the Transition from Quantum to Classical
Decoherence and the Transition from Quantum to Classical

... consciousness. Needless to say, this is a very uncomfortable place to do physics. In spite of the profound nature of the difficulties, recent years have seen a growing consensus that progress is being made in dealing with the measurement problem, which is the usual euphemism for the collection of in ...
Modeling and Control of Quantum Systems: An Introduction
Modeling and Control of Quantum Systems: An Introduction

... quantum theory for finite-dimensional systems. For more details, and other modern approaches to quantum theory, we refer the reader to the monographs [51], [52], [53]. To every quantum system Q is associated a complex Hilbert space H. The dimension of the Hilbert space depends on the variables of th ...
611: Electromagnetic Theory II
611: Electromagnetic Theory II

Quantum Mechanical Addition of Angular Momenta and Spin
Quantum Mechanical Addition of Angular Momenta and Spin

... the socalled total angular momentum, classically speaking the sum of all angular momenta and spins of the composite system, is the quantity of interest, since related operators, sums of orbital angular momentum and of spin operators of the particles, commute with the Hamiltonian of the composite sys ...
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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.
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