Chennai Mathematical Institute


3.30 pm, Seminar Hall
CMI Silver Jubilee Lecture
Classical and Quantum Cloning

Joseph Samuel
Raman Research Institute, Bangalore.


Both classical and quantum mechanics are rigidly constrained structures. Classical dynamics respects the symplectic structure of phase space and quantum evolution respects the linear structure of Hilbert space and the projective geometry of ray space. These constraints limit our ability to clone or copy states, as evidenced by the famous "no cloning theoremâ" in quantum mechanics. I will explore some of the constraints imposed by mechanics on copying states, both in classical and quantum theory. I will illustrate the mathematical treatment with a few experimentally realizable systems.