On some new hook-content identities

Abstract

Based on the work of A. Vershik, we introduce two new combinatorial identities. We show how these identities can be used to prove a new hook-content identity. The main motivation for deriving this identity was a particular optimization problem in the field of quantum information processing.

arXiv comment10 pages, 1 figure

References in corpus (4)

• A Theory of Quantum Error-Correcting Codes
• Efficient use of quantum resources for the transmission of a reference frame
• Dual pairing of symmetry groups and dynamical groups in physics
• Applications of coherent classical communication and the Schur transform to quantum information theory

Cited by in corpus (2)

• Optimal probabilistic storage and retrieval of unitary channels
• Quantum Information Processing and Composite Quantum Fields