Qubits and invariant theory
King, R.C. and Welsh, T.A. (2006) Qubits and invariant theory. Journal of Physics: Conference Series, 30, 1-8. (doi:10.1088/1742-6596/30/1/001)
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Official URL: http://dx.doi.org/10.1088/1742-6596/30/1/001
Description/Abstract
The invariants of a mixed two-qubit system are discussed. These are polynomials in the elements of the corresponding density matrix. They are counted by means of grouptheoretic branching rules and the Molien function is determined. The fundamental invariants are then explicitly constructed and the relations between them are found in the form of syzygies. In this way, complete sets of primary and secondary invariants are identified: there are 10 of the former and 15 of the latter.
| Item Type: | Article |
|---|---|
| ISSN: | 1742-6588 (print) |
| Related URLs: | http://www.iop.org/EJ/abstract...6/30/1/001 http://dx.doi.org/10.1088/1742...6/30/1/001 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| ePrint ID: | 29538 |
| Deposited On: | 11 May 2006 |
| Last Modified: | 01 Jun 2011 05:19 |
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