Dynamical equations of quantum information and Gaussian channel |
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| Affiliation: | 1. Center for Advanced Nanotechnology, University of Toronto, Canada M5S 3E4;2. Wuhan University of Technology, Wuhan 430071, China;1. Department of Mathematics & Computer Science, Mount Allison University, Sackville, NB, E4L 1E4, Canada;2. Department of Mathematics & Statistics, University of Guelph, Guelph, ON, N1G 2W1, Canada;3. Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA;1. Neuropharmacology Division, Department of Pharmacology, I.S.F College of Pharmacy, Moga, Punjab, India;2. Research Scholar, I. K. Gujral Punjab Technical University, Jalandhar, India;1. Ashoka University, Sonepat, Haryana, 131029, India;2. Indian Statistical Institute, New Delhi 110016, India;1. Department of Mathematics & Computer Science, Mount Allison University, Sackville, NB, E4L 1E4 Canada;2. Department of Mathematics & Statistics, University of Guelph, Guelph, ON, N1G 2W1, Canada;1. Department of Computer Science, The University of Hong Kong, Pok Fu Lam Road, Hong Kong;2. Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford, UK;3. Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada;4. Institute for Quantum Computing and Department of Pure Mathematics, University of Waterloo, Waterloo, Waterloo, ON, N2L 3G1, Canada;5. Univ Lyon, ENS Lyon, UCBL, CNRS, Inria, LIP, F-69342, Lyon Cedex 07, France;1. Department of Physics, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, Iran;2. Center for Research on Laser and Plasma, Shahid Chamran University of Ahvaz, Ahvaz, Iran |
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| Abstract: | A subdynamic based kinetic equation (SKE) for quantum information density (QID) is presented and using this is shown that the Liouville equation, Master equation and Fokker–Planck equation for QID all share the same formalism as the density operator. This allows one to directly use QID for studying quantum communication and to construct a quantum Gaussian channel. The channel is described by a quantum Fokker–Planck equation, which permits harmonic oscillator encoded information to transmit quantum signals with quantum parallelism. The quantum dynamical mutual information for this channel is also calculated. |
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