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Exponential error rates in multiple state discrimination on a quantum spin chain
Exponential error rates multiple state discrimination quantum spin chain
2015/8/25
We consider decision problems on finite sets of hypotheses represented by pairwise different shift-invariant states on a quantum spin chain. The decision in favor of one of the hypotheses is based on ...
The three-state toric homogeneous Markov chain model has Markov degree two
three-state toric Markov chain model Markov degree two Statistics Theory
2012/7/9
We prove that the three-state toric homogenous Markov chain model has Markov degree two. In algebraic terminology, that a certain class of toric ideals are generated by quadratic binomials. This was c...
Emergence of Periodic Structure from Maximizing the Lifetime of a Bound State Coupled to Radiation
Analysis of PDEs (math.AP) Mathematical Physics (math-ph) Optimization and Control (math.OC) Pattern Formation and Solitons (nlin.PS)
2010/11/11
Consider a system governed by the time-dependent Schr\"odinger equation in its ground state. When subjected to weak (size $\epsilon$) parametric forcing by an "ionizing field" (time-varying), the stat...
Improved ground-state estimate by thermal resummation
Improved ground-state estimate thermal resummation
2010/12/16
For the deconfining phase of SU(2) Yang-Mills thermodynamics and for high temperatures we point out that a linear dependence on temperature of a one-loop selfconsistently resummed thermal correction t...