Subspace controllability of spin- 1/2 chains with symmetries

Xiaoting Wang, Daniel Burgarth, S. Schirmer

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

We develop a technique to prove simultaneous subspace controllability on multiple invariant subspaces, which specifically enables us study the controllability properties of spin systems that are not amenable to standard controllability arguments based on energy level connectivity graphs or simple induction arguments on the length of the chain. The technique is applied to establish simultaneous subspace controllability for Heisenberg spin chains subject to limited local controls. This model is theoretically important and the controllability result shows that a single control can be sufficient for complete controllability of an exponentially large subspace and universal quantum computation in the exponentially large subspace. The controllability results are extended to prove subspace controllability in the presence of control field leakage and discuss minimal control resources required to achieve controllability over the entire spin chain space.

Original languageEnglish
Article number052319
Pages (from-to)1-11
Number of pages11
JournalPhysical Review A
Volume94
Issue number5
DOIs
Publication statusPublished - 14 Nov 2016
Externally publishedYes

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