Pre-reqs: A knowledge of quantum mechanics. Knowing bra-ket notation, density matrices, quantum entanglement and Fock space notation would be helpful, but an overview of these four concepts will be provided in the talk.

Quantum field theoretic calculations are usually carried out in the Fock space occupation basis. Expressing single particle states in the occupation basis allows us to interpret them as exhibiting quantum entanglement. Single particle entanglement, if it exists, will have huge impacts on quantum computation, communication and quantum error correction. This talk will focus on the validity of such claims and look at the underlying mathematical structures in the light of physical concepts.

By the end of this talk, the audience is expected to have an understanding of Fock space notation and the mathematical description of quantum entanglement. The talk will aim to impress upon the audience how the interplay of empirical physics knowledge and mathematical rigour influences the progress of theoretical physics. (Disclaimer: This is an ongoing project so the talk will not conclude to concrete results.)

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Tags:
  • #QUANTUM_INFORMATION
  • #QFT
  • #ENTANGLEMENT
  • #THEORY