Quantum Logic: A Summary of Some Issues

Enrico G. Beltrametti, Bas C. van Fraassen

M.J. Werner, Ataç İmamoğlu

Summary form only given. We investigate electromagnetically induced transparency (EIT) in the non-perturbative regime as a way to achieve maximal photon-photon interactions. In this new regime we discuss single versus multi-atom systems and conditional quantum logic operations.

Leopoldo Rom�n, B. Rumbos

Thomas A. Brody

Cynthia Sue Larson

This paper presents evidence from the fields of cognitive science and quantum information theory suggesting quantum theory to be the dominant fundamental logic in the natural world, in direct challenge to the long-held assumption that quantum logic only need be considered ‘in the quantum realm.' A summary of the evolution of quantum logic and quantum theory is presented, along with an overview for the necessity of incomplete quantum knowledge, and some representative aspects of quantum logic. A case can be made that classical logic and theory is a subset of quantum logic and theory, given that elements of quantum physics exist that can never admit classical understanding, including: Bell's theorem, Hardy's theorem, and the Pusey-Barrett-Rudolph theorem. Support can be found for the primacy of quantum logic in the natural world in the cognitive sciences, where recent research studies recognize quantum logic in studies of: the subconscious, decisions involving unknown interconnected variables, memory, and question sequencing.

Christopher R. Monroe, D. M. Meekhof, B. E. King +3 more

Summary form only given. A quantum computer is composed of quantum bits that can support superposition states and hence allow parallel processing for certain problems such as factorization. All quantum computations can, in principle, be reduced to a series of two-bit quantum logic gates accompanied by simple single-bit rotations. An example of a two-bit quantum logic gate is the controlled-NOT (CN) gate, which rotates one quantum bit by 180 dependent on the state of a second quantum bit. We demonstrate operation of a two bit CN quantum logic gate on a trapped ion.