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Qubits and invariant theory

Qubits and invariant theory
Qubits and invariant theory
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 group-theoretic 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.
1742-6588
1-8
King, R.C.
76ae9fb3-6b19-449d-8583-dbf1d7ed2706
Welsh, T.A.
e2554d4c-3df2-4228-b9a6-467991227cf8
King, R.C.
76ae9fb3-6b19-449d-8583-dbf1d7ed2706
Welsh, T.A.
e2554d4c-3df2-4228-b9a6-467991227cf8

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).

Record type: Article

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 group-theoretic 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.

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Published date: 2006

Identifiers

Local EPrints ID: 29538
URI: http://eprints.soton.ac.uk/id/eprint/29538
ISSN: 1742-6588
PURE UUID: 33815081-5def-451e-8ea1-fdfe6e37c08c

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Date deposited: 11 May 2006
Last modified: 08 Jan 2022 15:54

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Author: R.C. King
Author: T.A. Welsh

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