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7 papers · 2 filters
Multiplicativity properties of entrywise positive maps
Christopher King, Michael Nathanson, Mary Beth Ruskai
Multiplicativity of certain maximal p -> q norms of a tensor product of linear maps on matrix algebras is proved in situations in which the condition of complete positivity (CP) is…
Conditions for the multiplicativity of maximal l_p-norms of channels for fixed integer p
Vittorio Giovannetti, Seth Lloyd, Mary Beth Ruskai
We introduce a condition for memoryless quantum channels which, when satisfied guarantees the multiplicativity of the maximal l_p-norm with p a fixed integer. By applying the condi…
Vacuum fluctuations and Brownian motion of a charged test particle near a reflecting boundary
Hongwei Yu, L. H. Ford
We study the Brownian motion of a charged test particle coupled to electromagnetic vacuum fluctuations near a perfectly reflecting plane boundary. The presence of the boundary modi…
Casimir Force between a Small Dielectric Sphere and a Dielectric Wall
V. Sopova, L. H. Ford
The possibility of repulsive Casimir forces between small metal spheres and a dielectric half-space is discussed. We treat a model in which the spheres have a dielectric function g…
Qubit Channels Which Require Four Inputs to Achieve Capacity: Implications for Additivity Conjectures
Masahito Hayashi, Hiroshi Imai, Keiji Matsumoto +2
An example is given of a qubit quantum channel which requires four inputs to maximize the Holevo capacity. The example is one of a family of channels which are related to 3-state c…
External Time-Varying Fields and Electron Coherence
Jen-Tsung Hsiang, L. H. Ford
The effect of time-varying electromagnetic fields on electron coherence is investigated. A sinusoidal electromagnetic field produces a time varying Aharonov-Bohm phase. In a measur…