10 May 2007 Scattering theory in relation to quantum computing
Author Affiliations +
Much of the theory of quantum computing assumes the capacity to apply a chosen sequence of unitary transformations to the state of a quantum register (sometimes called a memory). It is widely recognized that this "application of a unitary transformation" requires an external influence. Here we relate the physics of external influences to the well established framework of quantum-mechanical scattering problems, in order to show how scattering is conceptually necessary to quantum computers, even in the idealization of zero temperature and no imperfections. For a single-qubit quantum register, infinitely slow limiting cases are shown in which scattering indeed results in a unitary transformation of the register. Implications for "transformation-induced decoherence" are developed and related to questions of errors and error correction.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
John M. Myers, John M. Myers, Tai Tsun Wu, Tai Tsun Wu, } "Scattering theory in relation to quantum computing", Proc. SPIE 6573, Quantum Information and Computation V, 657306 (10 May 2007); doi: 10.1117/12.721693; https://doi.org/10.1117/12.721693


Quantum models of Parrondo's games
Proceedings of SPIE (November 12 2002)
Nonclassical logics for quantum computations
Proceedings of SPIE (June 30 1997)
Lower bounds for decoherence
Proceedings of SPIE (June 30 1997)
NP problems, post-selection and weak measurements
Proceedings of SPIE (May 11 2006)
Quantum computation and hidden variables
Proceedings of SPIE (April 28 2008)

Back to Top