Quantum Error Correction
... We cannot clone, perforce; instead, we split Coherence to protect it from that wrong That would destroy our valued quantum bit And make our computation take too long. Correct a flip and phase - that will suffice. If in our code another error's bred, We simply measure it, then God plays dice, Collaps ...
... We cannot clone, perforce; instead, we split Coherence to protect it from that wrong That would destroy our valued quantum bit And make our computation take too long. Correct a flip and phase - that will suffice. If in our code another error's bred, We simply measure it, then God plays dice, Collaps ...
A bound for the range of a narrow light
... domain Dev where the waves are evanescent, as is asymptotically true for large z. Then, the spectral width WðzÞ reaches its maximum 2k if and only if jEðκ; θ; zÞj2 ∼ κ−1 δðκ − kÞjAðκ; θ; zÞj2 , where we have introduced the polar coordinates ðκ; θÞ in the spectral domain. Consequently, W ðzÞ ≤ 2k for ...
... domain Dev where the waves are evanescent, as is asymptotically true for large z. Then, the spectral width WðzÞ reaches its maximum 2k if and only if jEðκ; θ; zÞj2 ∼ κ−1 δðκ − kÞjAðκ; θ; zÞj2 , where we have introduced the polar coordinates ðκ; θÞ in the spectral domain. Consequently, W ðzÞ ≤ 2k for ...
Necessary and Sufficient Quantum Information Characterization of
... systems that does not have a classical counterpart and challenges our everyday-life intuition about the physical world [1]. It is also the key element in many quantum information processing tasks [2]. The strongest feature exhibited by entangled systems is nonlocality [3]. A weaker feature related t ...
... systems that does not have a classical counterpart and challenges our everyday-life intuition about the physical world [1]. It is also the key element in many quantum information processing tasks [2]. The strongest feature exhibited by entangled systems is nonlocality [3]. A weaker feature related t ...
Quantum Effects in Condensed Matter Systems in Three, Two, and
... structural properties are in good agreement with PIMD with fraciii ...
... structural properties are in good agreement with PIMD with fraciii ...
On Fractional Schrödinger Equation and Its Application
... Recently Herrmann has applied the fractional mechanical approach to several particular problems [7-12]. Some other cases of the fractional Schrödinger equation were discussed by Naber [13] and Ben Adda & Cresson [14]. ...
... Recently Herrmann has applied the fractional mechanical approach to several particular problems [7-12]. Some other cases of the fractional Schrödinger equation were discussed by Naber [13] and Ben Adda & Cresson [14]. ...
PT-symmetric quantum mechanics
... While there is as yet no proof that the spectrum of H in Eq. ~1.1! is real,2 we can gain some insight regarding the reality of the spectrum of a PT-invariant Hamiltonian H as follows: Note that eigenvalues of the operator PT have the form e i u . To see this, let C be an eigenfunction of PT with eig ...
... While there is as yet no proof that the spectrum of H in Eq. ~1.1! is real,2 we can gain some insight regarding the reality of the spectrum of a PT-invariant Hamiltonian H as follows: Note that eigenvalues of the operator PT have the form e i u . To see this, let C be an eigenfunction of PT with eig ...
The Two Slit Experiment
... We now repeat the experiment for a third time, but in this case we use electrons. Here we imagine that there is a beam of electrons incident normally on a screen with the two slits, with all the electrons having the same energy E and momentum p. The screen is a fluorescent screen, so that the arriva ...
... We now repeat the experiment for a third time, but in this case we use electrons. Here we imagine that there is a beam of electrons incident normally on a screen with the two slits, with all the electrons having the same energy E and momentum p. The screen is a fluorescent screen, so that the arriva ...
Novel Results for Condensed Matter Systems with Time Reversal Symmetry
... all relevant terms of perturbation expansion in Kubo formula the Spin Hall conductance vanishes. This controversy has been amplified by the fact that in the presence of spin orbit interaction the total spin of the system is not conserved and therefore the spin current is not a well defined quantity. ...
... all relevant terms of perturbation expansion in Kubo formula the Spin Hall conductance vanishes. This controversy has been amplified by the fact that in the presence of spin orbit interaction the total spin of the system is not conserved and therefore the spin current is not a well defined quantity. ...
Analysis of General Geometric Scaling Perturbations in a Transmitting Waveguide: Fundamental Connection Between Polarization-Mode Dispersion and Group-Velocity Dispersion
... treatment of arbitrary fiber profiles,3,6–9 they were either developed for specific index profile geometries or their validity deteriorated substantially with an increase in the index contrast. Here we derive a generalized Hermitian Hamiltonian formulation of Maxwell’s equations in waveguides, as we ...
... treatment of arbitrary fiber profiles,3,6–9 they were either developed for specific index profile geometries or their validity deteriorated substantially with an increase in the index contrast. Here we derive a generalized Hermitian Hamiltonian formulation of Maxwell’s equations in waveguides, as we ...
Collected Scientific Papers - SN Bose National Centre for Basic
... In the paper A Note on Dirac Equations and the Zeeman Effect (Indian J Phys. 17, 301 (1943)), written together with K Basu, the problem of the energy levels of a hydrogenic atom in an inhomogeneous magnetic field is solved using Sonine polynomials. The calculations are elegant and straightforward an ...
... In the paper A Note on Dirac Equations and the Zeeman Effect (Indian J Phys. 17, 301 (1943)), written together with K Basu, the problem of the energy levels of a hydrogenic atom in an inhomogeneous magnetic field is solved using Sonine polynomials. The calculations are elegant and straightforward an ...
Electronic Transport in One-Dimensional - Goldhaber
... by careful study of ten diamonds on either side). T < 250mK. (b) Higher resolution scan of the region in 4a bounded by the rectangular box. The data indicate a gate-induced transition between singlet and triplet ground states for the dot. (c) Magnetic field dependence of the conductance at the point ...
... by careful study of ten diamonds on either side). T < 250mK. (b) Higher resolution scan of the region in 4a bounded by the rectangular box. The data indicate a gate-induced transition between singlet and triplet ground states for the dot. (c) Magnetic field dependence of the conductance at the point ...
Aspects of quantum information theory
... only researchers from many different fields like physicists, mathematicians and computer scientists, but also a large public audience. On a practical level all these new visions are based on the ability to control the quantum states of (a small number of) micro systems individually and to use them f ...
... only researchers from many different fields like physicists, mathematicians and computer scientists, but also a large public audience. On a practical level all these new visions are based on the ability to control the quantum states of (a small number of) micro systems individually and to use them f ...
Quantum Hall ferromagnet at high filling factors: A magnetic
... We propose here that exchange interactions drive a transition from a paramagnetic state, corresponding to nonspinsplit Shubnikov de Haas oscillations, to a ferromagnetic state, corresponding to spin resolved Shubnikov de Haas. Strictly speaking, the transition is driven by the density of states, via ...
... We propose here that exchange interactions drive a transition from a paramagnetic state, corresponding to nonspinsplit Shubnikov de Haas oscillations, to a ferromagnetic state, corresponding to spin resolved Shubnikov de Haas. Strictly speaking, the transition is driven by the density of states, via ...
Intensities of analogous Rydberg series in CF3Cl, CF3Br and in
... analogies in the valence structure and expected electronic behaviour of the presently studied molecules. Finally, we have compared the oscillator strengths for analogous transitions in the two molecular species and their isolated halogen atoms, given their analogies in the electronic structure of th ...
... analogies in the valence structure and expected electronic behaviour of the presently studied molecules. Finally, we have compared the oscillator strengths for analogous transitions in the two molecular species and their isolated halogen atoms, given their analogies in the electronic structure of th ...
