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Codekets

Mihai Caragiu
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Abstract

To every binary linear [n,k]-code C we associate a quantum state ("codeket") belonging to the n-th tensor power of the 2-dimensional complex Hilbert space associated to the spin 1/2 particle. We completely characterize the expectation values of the products of x-, y- or z- spins measured in the state we define, for each of the particles in a chosen subset. This establishes an interesting relationship with the dual code. We also address the case of nonlinear codes, and derive both a bound satisfied by the expectations of spin products, as well as a nice algebraic identity.

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Mihai Caragiu. 2005-11-16. Codekets. https://arxiv.org/abs/quant-ph/0511165

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