
Singularity of the time-energy uncertainty in adiabatic perturbation
... goes to zero. However, there are many interesting problems that have no such uniform asymptotic expansion. These involve singular perturbations2–7 . A classic example of this singular perturbation is the flow in the limit of zero viscosity8. When the viscosity, a small parameter, approaches zero, th ...
... goes to zero. However, there are many interesting problems that have no such uniform asymptotic expansion. These involve singular perturbations2–7 . A classic example of this singular perturbation is the flow in the limit of zero viscosity8. When the viscosity, a small parameter, approaches zero, th ...
Computing with Highly Mixed States
... When two mixed states have distinct density matrices (say ρ1 and ρ2 ), it is natural to ask how well they can be distinguished by a measurement. The answer is that the least-error measurement is one that measures in the basis that diagonalizes ρ1 − ρ2 . The success probability is proportional to the ...
... When two mixed states have distinct density matrices (say ρ1 and ρ2 ), it is natural to ask how well they can be distinguished by a measurement. The answer is that the least-error measurement is one that measures in the basis that diagonalizes ρ1 − ρ2 . The success probability is proportional to the ...
Hypergroups and Quantum Bessel Processes of Non
... The dimension of the Bessel process with index µ is δ = 2(µ + 1) and a common notation for the Bessel process with the dimension δ is BES(δ). It is well known that the notion of the Bessel process makes sense for any real number δ and that the Bessel processes of integer dimension δ ≥ 2 are the radi ...
... The dimension of the Bessel process with index µ is δ = 2(µ + 1) and a common notation for the Bessel process with the dimension δ is BES(δ). It is well known that the notion of the Bessel process makes sense for any real number δ and that the Bessel processes of integer dimension δ ≥ 2 are the radi ...