generalized numerical ranges and quantum error correction
... Let x, y ∈ Cn . Denote by hAx, yi the vector (h A1 x, yi, . . . , h Am x, yi) ∈ Cm . Then a ∈ Λk (A) if and only if there exists an orthonormal set {x1 , . . . , xk } in Cn such that hAxi , x j i = δij a, where δij is the Kronecker delta. When k = 1, Λ1 (A) reduces to the (classical) joint numerical ...
... Let x, y ∈ Cn . Denote by hAx, yi the vector (h A1 x, yi, . . . , h Am x, yi) ∈ Cm . Then a ∈ Λk (A) if and only if there exists an orthonormal set {x1 , . . . , xk } in Cn such that hAxi , x j i = δij a, where δij is the Kronecker delta. When k = 1, Λ1 (A) reduces to the (classical) joint numerical ...
Quantum effects in biology
... In many enzymatic catalytic reactions, the rate-determining step involves the transfer of a proton, hydride, or hydrogen atom [34]. In addition, the simultaneous transfer of a proton and an electron from different sites (so-called proton-coupled electron transfer) also play an important role in a wi ...
... In many enzymatic catalytic reactions, the rate-determining step involves the transfer of a proton, hydride, or hydrogen atom [34]. In addition, the simultaneous transfer of a proton and an electron from different sites (so-called proton-coupled electron transfer) also play an important role in a wi ...
Last Time…
... electron may disappear from one well, and appear in the other! The reverse then happens, and the electron oscillates back an forth, without ‘traversing’ the ...
... electron may disappear from one well, and appear in the other! The reverse then happens, and the electron oscillates back an forth, without ‘traversing’ the ...
Magnetic polyoxometalates: from molecular magnetism to molecular spintronics and quantum computingw
... The diamagnetism of this Keggin heteropolyblue was originally attributed to a multiroute superexchange mechanism. Later on it was demonstrated that the large spin-triplet gap could originate from the interplay between Coulombic repulsion and electron transfer, provided the transfer routes have a cer ...
... The diamagnetism of this Keggin heteropolyblue was originally attributed to a multiroute superexchange mechanism. Later on it was demonstrated that the large spin-triplet gap could originate from the interplay between Coulombic repulsion and electron transfer, provided the transfer routes have a cer ...
![arXiv:1310.3262v1 [quant-ph] 11 Oct 2013](http://s1.studyres.com/store/data/017897146_1-7f44e165f08f900df74f4825be2ca4f2-300x300.png)
Modeling and Control of Quantum Systems: An Introduction
... and most likely adapt them to the peculiarities of his/her own setting. The models we discuss are always continuous in time: this of course leaves out a significant number of interesting results, but allows for a more consistent presentation and, in our opinion, a closer connection to classical cont ...
... and most likely adapt them to the peculiarities of his/her own setting. The models we discuss are always continuous in time: this of course leaves out a significant number of interesting results, but allows for a more consistent presentation and, in our opinion, a closer connection to classical cont ...
On the equivalence of separability and extendability of quantum states
... It is fairly simple to see that separability implies complete extendability. The proof of the converse depends on an application of the quantum de Finetti theorem [?, ?], according to which any exchangable state is, indeed, separable. The link between separability and extendability has found applica ...
... It is fairly simple to see that separability implies complete extendability. The proof of the converse depends on an application of the quantum de Finetti theorem [?, ?], according to which any exchangable state is, indeed, separable. The link between separability and extendability has found applica ...
Solution of the Lindblad equation for spin helix states arXiv
... superdiffusive nonequilibrium stationary states “spin helix states” (SHS), in analogy to phenomena in spin-orbit-coupled two-dimensional electron systems [4, 5, 6]. We focus on one-dimensional spin chains, which are of great current interest. However, it will transpire that analogous SHS will appear ...
... superdiffusive nonequilibrium stationary states “spin helix states” (SHS), in analogy to phenomena in spin-orbit-coupled two-dimensional electron systems [4, 5, 6]. We focus on one-dimensional spin chains, which are of great current interest. However, it will transpire that analogous SHS will appear ...
Quantum Dot Computing Gates
... of the electron is restricted within such a very small regime, energy quantization or momentum quantization is observed and quantum effects become apparent. Therefore the electron states are not continuous but discrete. This phenomenon is known as the size quantization effect. A proposal for QD-base ...
... of the electron is restricted within such a very small regime, energy quantization or momentum quantization is observed and quantum effects become apparent. Therefore the electron states are not continuous but discrete. This phenomenon is known as the size quantization effect. A proposal for QD-base ...
A straightforward introduction to continuous quantum measurement
... literature. This is what we do here. Don’t be put off by the length of this article—a reading of only a fraction of the article is sufficient to understand how to derive the basic equation that describes continuous measurement, the mathematics required to manipulate it (the so-called Itô calculus), an ...
... literature. This is what we do here. Don’t be put off by the length of this article—a reading of only a fraction of the article is sufficient to understand how to derive the basic equation that describes continuous measurement, the mathematics required to manipulate it (the so-called Itô calculus), an ...
