A Matrix Realignment Method for Recognizing Entanglement
... We develop a very simple method to assess the inseparability of bipartite quantum systems, which is based on a realigned matrix constructed from the density matrix. It shows dramatic ability to identify many of the bounded entangled states discussed in the literature. Based on this criterion and the ...
... We develop a very simple method to assess the inseparability of bipartite quantum systems, which is based on a realigned matrix constructed from the density matrix. It shows dramatic ability to identify many of the bounded entangled states discussed in the literature. Based on this criterion and the ...
QI Package for Mathematica 7.0 (version 0.3.27) - ZKSI
... PartialTransposeA – PartialTransposeA[ρ,m,n] performs partial transposition on the m-dimensional (first) subsystem of the m×n-state. PartialTransposeB – PartialTransposeB[ρ,m,n] performs partial transposition on the n-dimensional (second) subsystem of the m×n-state. PartialTraceA – PartialTraceA[ρ,m ...
... PartialTransposeA – PartialTransposeA[ρ,m,n] performs partial transposition on the m-dimensional (first) subsystem of the m×n-state. PartialTransposeB – PartialTransposeB[ρ,m,n] performs partial transposition on the n-dimensional (second) subsystem of the m×n-state. PartialTraceA – PartialTraceA[ρ,m ...
The Schrodinger Equation
... A Couple of More Clues • Hydrogen Atomic Spectra • Determine an expression for n2 in terms of n1 and the excitation wavenumber. • What does n2 tell you? ...
... A Couple of More Clues • Hydrogen Atomic Spectra • Determine an expression for n2 in terms of n1 and the excitation wavenumber. • What does n2 tell you? ...
Quantum Mechanical Ideal Diesel Engine
... changes as the moving wall moves. There are no transition between state occured, it can be represented the absolute values of the expansion coefficient an must remain constant. The eigenstates n x equation (2) and the corresponding energy eigenvalues En (3), as the wall at x=L, moves an infinit ...
... changes as the moving wall moves. There are no transition between state occured, it can be represented the absolute values of the expansion coefficient an must remain constant. The eigenstates n x equation (2) and the corresponding energy eigenvalues En (3), as the wall at x=L, moves an infinit ...
Chapter 5. The Schrödinger Wave Equation Formulation of Quantum
... Heisenberg and Schrödinger. Heisenberg’s approach is often referred to as matrix mechanics, as the description of a quantum system is expressed through the time evolution of matrix operators for the different quantities characterizing the state of the system (e.g., position, momentum, angular moment ...
... Heisenberg and Schrödinger. Heisenberg’s approach is often referred to as matrix mechanics, as the description of a quantum system is expressed through the time evolution of matrix operators for the different quantities characterizing the state of the system (e.g., position, momentum, angular moment ...
The effect of quantum confinement and discrete dopants in
... in three dimensions, and therefore to take into account the ‘atomistic’ distribution of impurities, and to include quantum confinement by solving the Schrödinger equation in the vertical direction. Three-dimensional semiclassical simulations of the effect of random dopants have appeared in the lite ...
... in three dimensions, and therefore to take into account the ‘atomistic’ distribution of impurities, and to include quantum confinement by solving the Schrödinger equation in the vertical direction. Three-dimensional semiclassical simulations of the effect of random dopants have appeared in the lite ...
Dirac Equation
... taking all polynomial expressions in , together with all ratios, sums and productions of these polynomials to make a field which is written as F( ) . Not all fields can be represented by matrices. In fact the simplest fields, those of the integers modulo p, Zp, where p is a prime number, can’t be ...
... taking all polynomial expressions in , together with all ratios, sums and productions of these polynomials to make a field which is written as F( ) . Not all fields can be represented by matrices. In fact the simplest fields, those of the integers modulo p, Zp, where p is a prime number, can’t be ...
Transport Electron through a Quantum Wire by Side-Attached Asymmetric Quantum-Dot Chains
... Figure 3.a, N=3 and M=4 are set for first and second chains. It is clear that the sum of dots in two-chains (N+M) determines the number of anti-resonances in conductance spectrum and it is independent of the value of p. In other words, the number of mini gaps matches exactly the number of QDs chains ...
... Figure 3.a, N=3 and M=4 are set for first and second chains. It is clear that the sum of dots in two-chains (N+M) determines the number of anti-resonances in conductance spectrum and it is independent of the value of p. In other words, the number of mini gaps matches exactly the number of QDs chains ...
Semiconductor qubits for quantum computation
... The measurement of the 2nd qubits always gives the same result as the first qubit! The measurement outcomes are correlated! ...
... The measurement of the 2nd qubits always gives the same result as the first qubit! The measurement outcomes are correlated! ...
FUNDAMENTAL ASPECTS OF STATISTICAL PHYSICS AND
... What statistical mechanics can teach us about the limits of quantum mechanics Usually, research into the foundations of statistical mechanics aims at deriving statistical mechanics from quantum mechanics, i.e., from a theory that is deterministic, linear, and invariant under time reversal. However, ...
... What statistical mechanics can teach us about the limits of quantum mechanics Usually, research into the foundations of statistical mechanics aims at deriving statistical mechanics from quantum mechanics, i.e., from a theory that is deterministic, linear, and invariant under time reversal. However, ...
Indistinguishable photons from a single-photon device
... Dt (Fig. 4). For all three quantum dots, we observe reductions in the coincidence probability near Dt ¼ 0, by factors of 0.61, 0.69 and 0.62 for dots 1, 2 and 3, respectively. The remaining coincidences we see are partly due to independently measured optical imperfections in our set-up, R/T ¼ 1.1 an ...
... Dt (Fig. 4). For all three quantum dots, we observe reductions in the coincidence probability near Dt ¼ 0, by factors of 0.61, 0.69 and 0.62 for dots 1, 2 and 3, respectively. The remaining coincidences we see are partly due to independently measured optical imperfections in our set-up, R/T ¼ 1.1 an ...
Fractional charge in the fractional quantum hall system
... In order to measure the charge of the quasiparticle in the FQH system, a non-equilibrium transport theory for the Luttinger liquid is proposed.[3] The set-up of the experiment is shown in fig. 3. A voltage difference, Vsd , is applied across a quantum Hall bar. In the presence of this source drain ...
... In order to measure the charge of the quasiparticle in the FQH system, a non-equilibrium transport theory for the Luttinger liquid is proposed.[3] The set-up of the experiment is shown in fig. 3. A voltage difference, Vsd , is applied across a quantum Hall bar. In the presence of this source drain ...
Nonclassical States of Cold Atomic Ensembles and of Light Fields
... written as a superposition of two right/left circularly polarized states |R〉, |L〉 with two arbitrary angles θ, ϕ, we use two spatially-overlapped atomic ensembles A, B inside an optical resonator (Fig. 1). The atomic levels are chosen such that ensemble A (B) absorbs only right (left) circularly pol ...
... written as a superposition of two right/left circularly polarized states |R〉, |L〉 with two arbitrary angles θ, ϕ, we use two spatially-overlapped atomic ensembles A, B inside an optical resonator (Fig. 1). The atomic levels are chosen such that ensemble A (B) absorbs only right (left) circularly pol ...
The Need for Quantum Mechanics in Materials Science
... vd = − E m Current density ne2 τ E j = −nev d = m Electrical conductivity ne2 τ σ= m VBS/MRC ...
... vd = − E m Current density ne2 τ E j = −nev d = m Electrical conductivity ne2 τ σ= m VBS/MRC ...