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Characterizing the entangling capacity of n-qubit computations, ed. by E. Donkor, A.R. Pirich, and H.E. Brandt

Stephen S. Bullock

Published Jan 1, 2004• 0 citations
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The idea of this work was to generalize the Donkor model (Quantum Information and Computation IX, edited by Eric Donkor, Andrew R. Pirich, Howard E. Brandt, Proc. of SPIE Vol. 8057) about the application of induced dipole-dipole forbidden transitions to quantum computation. Using computer algebra we were able to reproduce the original Donkor model. Then we applied some modifications to this model and obtained the respective solutions. It is expected that this model has applications for quantum computation.
at iona l Co n f er ence \ Qu an tu m O p t i cs V " , Ko ƒci el isko, Po la nd , 200 1 O n M i x ed St ate s Entan gle m ent an d Q u antu m C om m u n ication : As p ects of Qu antu m C h an n els Th eor y P .H oro d eck i Fa cul t y of A ppl i ed Phy sics and Ma the mati cs, T echnical Uni versity of Gda ¥sk Naruto wi cza 11/ 12, 80 -952 G da¥sk, Po l and Basi c aspects of qua ntu m communication based on quantum channe ls theo ry are re view ed to gether w ith suitable examples .T he key notion of quantum channel capacity is discussed.T he role of mixed states entanglement as a practical to ol in quantum channels theory is explain ed in detail.A pplication of recent results on non-positi ve partial transp ose bound entanglement con j ecture to binding entanglement channels show s that validity of the conj ecture for some states implies n o n a dd i t i v it y of tw o-w ay quantum channel capacity .Some asp ects of robustness of entanglement in context of positive maps theory are also discussed .
Two-qubit operations may be characterized by their capacities for communication, both with and without free entanglement, and their capacity for creating entanglement. We establish a set of inequalities that give an ordering to the capacities of two-qubit unitary operations. Specifically, we show that the capacities for entanglement creation and bidirectional communication without entanglement assistance are at least as great as half the bidirectional communication capacity with entanglement assistance. In addition, we show that the bidirectional communication that can be performed using an ensemble may be increased via a two-qubit unitary operation by twice the operation's capacity for entanglement.