dorsal/arxiv
View SchemaCodekets
| Authors | Mihai Caragiu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511165 |
| URL | https://arxiv.org/abs/quant-ph/0511165 |
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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"abstract": "To every binary linear [n,k]-code C we associate a quantum state (\"codeket\")\nbelonging to the n-th tensor power of the 2-dimensional complex Hilbert space\nassociated to the spin 1/2 particle. We completely characterize the expectation\nvalues of the products of x-, y- or z- spins measured in the state we define,\nfor each of the particles in a chosen subset. This establishes an interesting\nrelationship with the dual code. We also address the case of nonlinear codes,\nand derive both a bound satisfied by the expectations of spin products, as well\nas a nice algebraic identity.",
"arxiv_id": "quant-ph/0511165",
"authors": [
"Mihai Caragiu"
],
"categories": [
"quant-ph"
],
"title": "Codekets",
"url": "https://arxiv.org/abs/quant-ph/0511165"
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