Abstract
We give the mathematical theory of duality computer in the density matrix formalism. This result complements the mathematical theory of duality computer of Gudder in the pure state formalism.
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S. Gudder, Mathematical Theory of Duality Quantum Computers, Quant. Inform. Process. preprint M06/04 in http://www.math.du.edu/ DOI: 10.1007/s11128-006-0040-3.
G. L. Long, Commun. Theor. Phys. 34 825–844 (2006), also available in arix:quant-ph/ 0512120.
B. d’Espagnat, Veiled Reality: An Analysis of Present-day Quantum Mechanical Concepts (Addison-Wesley, Reading, 1995).
G. L. Long, Y.-F. Zhou, J.-Q. Jin, Y. Sun, H.-W. Lee, Found. Phys. 36(8) (2006), also available in arxiv:quant-ph/0508207.
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An erratum to this article is available at http://dx.doi.org/10.1007/s11128-008-0074-9.
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Long, G.L. Mathematical Theory of the Duality Computer in the Density Matrix Formalism. Quantum Inf Process 6, 49–54 (2007). https://doi.org/10.1007/s11128-006-0042-1
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DOI: https://doi.org/10.1007/s11128-006-0042-1
- Duality computer
- quantum wave divider
- quantum wave combinor
- density matrix
- partial wave function measurement