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Abstract The seventh and eighth lessons provided an introduction to quantum computation. Elementary logic gates were described, and it was shown that two-qubit gates are universal, in the sense that all unitary operations on a qubit system can be …
09:30 to 10:30
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Edouard Bard
Climate and Ocean Evolution
Edouard Bard
Climate and Ocean Evolution
Opening lecture
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A Collège de France - CNED coproduction Abstract Delivered in 2002 to mark the opening of the Climate and Ocean Evolution Chair, Edouard Bard's opening lecture has lost none of its topicality. It reminds us that global warming has long been a concern …
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Abstract In the fourth lecture , we established the expression of field operators in frequency space, based on the decomposition of the signal into waves of well-defined wave vectors. The commutator of these field operators is singular : it is given by a …
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Abstract The sixth lesson showed in a general way how the sharing of pairs of entangled particles between two parties ("Alice and Bob") makes it possible to perform operations impossible in classical information (secure cryptographic key sharing, quantum …
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Abstract The fifth lesson addressed the question of how to measure entanglement by introducing the concepts of Shannon and von Neumann entropy. In a two-part system, the entropy associated with each part (calculated from their reduced density matrix) is a …
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Abstract The third lesson was devoted to the decomposition of a signal propagating along a transmission line into orthogonal discrete modes. We introduced the basic concepts of wavelet theory. It is remarkable that a signal of finite energy can be …
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Abstract The third and fourth lessons discussed the link between entanglement, decoherence and complementarity by describing and analyzing simple quantum interference and measurement situations. The concept of complementarity expresses the fact that the …
09:30 to 10:30
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