Representing multiqubit unitary evolutions via Stokes tensors
Journal Article
·
· Physical Review. A
- SISSA-ISAS, International School for Advanced Studies, via Beirut 2-4, 34014 Trieste (Italy)
For the Stokes tensor parametrization of a multiqubit density operator, we provide an explicit formulation of the corresponding unitary dynamics at the infinitesimal level. The main advantage of this formalism (clearly reminiscent of the ideas of 'coherences' and 'coupling Hamiltonians' of spin systems) is that the pattern of correlation between qubits and the pattern of infinitesimal correlation are highlighted simultaneously and can be used constructively for qubit manipulation. For example, it allows us to compute explicitly Rodrigues' formula for the one-parameter orbits of nonlocal Hamiltonians. The result is easily generalizable to orbits of Cartan subalgebras and allows us to express the Cartan decomposition of unitary propagators as a linear action directly in terms of the infinitesimal generators.
- OSTI ID:
- 20646036
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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