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- Institute of PhysicsPL162 papers
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5 papers · 2 filters
Quantum state discrimination: a geometric approach
D. Markham, J. A. Miszczak, Z. Puchala +1
We analyse the problem of finding sets of quantum states that can be deterministically discriminated. From a geometric point of view this problem is equivalent to that of embedding…
Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive
Stanislaw J. Szarek, Elisabeth Werner, Karol Zyczkowski
We investigate the set a) of positive, trace preserving maps acting on density matrices of size N, and a sequence of its nested subsets: the sets of maps which are b) decomposable,…
Composition of quantum states and dynamical subadditivity
Wojciech Roga, Mark Fannes, Karol Zyczkowski
We introduce a composition of quantum states of a bipartite system which is based on the reshuffling of density matrices. This non-Abelian product is associative and stems from the…
Frustration, Area Law, and Interference in Quantum Spin Models
Aditi Sen De, Ujjwal Sen, Jacek Dziarmaga +2
We study frustrated quantum systems from a quantum information perspective. Within this approach, we find that highly frustrated systems do not follow any general ''area law'' of b…
Subnormalized states and trace-nonincreasing maps
Valerio Cappellini, Hans-Juergen Sommers, Karol Zyczkowski
We investigate the set of completely positive, trace-nonincreasing linear maps acting on the set M_N of mixed quantum states of size N. Extremal point of this set of maps are chara…