the rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. for noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. in this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, generaliz...

quantum organizations are referred where stakeholders know how to access the infinite potential of the quantum field. viewing healthcare organizations from perspective of quantum theory suggest new approaches into management techniques for effective and efficient delivery of healthcare services. this research is aimed to determine the quantum skills, quantum leadership characteristics and funct...

A simple semi-phenomenological model, which accurately predicts the dependence of thresholdcurrent for temperature of Resonant-phonon three well quantum cascade laser based on verticaltransitions is offered. We found that, the longitude optical phonon scattering of thermally excitedelectrons is the most important limiting factor for thermal performance of high frequency THz QCLs.In low frequenc...

We analyze the optimal unambiguous discrimination of two arbitrary mixed quantum states. We show that the optimal measurement is unique and we present this optimal measurement for the case where the rank of the density operator of one of the states is at most 2 (“solution in 4 dimensions”). The solution is illustrated by some examples. The optimality conditions proved by Eldar et al. [Phys. Rev...

We first give a complete, albeit brief, review of the discovery of mirror symmetry in N = 2 string/conformal field theory. In particular, we describe the naturality arguments which led to the initial mirror symmetry conjectures and the subsequent work which established the existence of mirror symmetry through direct construction. We then review a number of striking consequences of mirror symmet...

The current observations seem to suggest that the universe has a positive cosmological constant of the order of H 2 0 while the most natural value for the cosmological constant will be L −2 P where L P = (G¯ h/c 3) 1/2 is the Planck length. This reduction of the cosmological constant from L −2 P to L −2 P (L P H 0) 2 may be interpreted as due to the ability of quantum micro structure of spaceti...

We introduce a twisted quantum affine algebra associated to each simply laced finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with a Drinfeld-type comultiplication. We obtain this algebra by considering its vertex representation. The vertex representation quantizes the twisted vertex operators of Lepowsky-Wilson and Frenkel-LepowskyMeurman. We also introduce a twisted ...