Simulation of Topological Field Theories¶by Quantum Computers
نویسندگان
چکیده
منابع مشابه
Simulation of topological field theories by quantum computers
Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilbert space by local gates, which can be implemented by applying a local Hamiltonian H for a time t. In contrast to this quantum engineering, the most abstract reaches of theoretical physics has spawned “topological models” having a finite dimensional internal state space with no natural tensor produ...
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A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical vie...
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We intruduce a new invariant for σ models (and foliations more generally) using the even pairing between K-homology and cyclic homology. We try to calculate it for the simplest case of foliations, namely principal bundles. We end up by discussing some possible physical applications primarily in Quantum Gravity and M-Theory. PACS classification: 11.10.-z; 11.15.-q; 11.30.-Ly
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2002
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s002200200635