4 citations · 22 across the 17 of their papers we have counts for
17 papers
The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case
Roman Gielerak, Joanna Wiśniewska, Marek Sawerwain
By a use of the Fredholm determinant theory, the unified quantum entropy notion has been extended to a case of infinite-dimensional systems. Some of the known (in the finite-dimens…
Renormalized von Neumann entropy with application to entanglement in genuine infinite dimensional systems
Roman Gielerak
A renormalized version of the von Neumann quantum entropy (which is finite and continuous in general, infinite dimensional case) and which obeys several of the natural physical dem…
Maximally entangled states of quantum systems: some numerical studies
Roman Gielerak, Marek Sawerwain
Gram matrix approach to an entanglement analysis of pure states describing -- quantum systems is being introduced. In particular, maximally entangled states are descri…
A Gramian Approach to Entanglement in Bipartite Finite Dimensional Systems: The case of pure states
Roman Gielerak, Marek Sawerwain
It has been observed that the reduced density matrices of bipartite qudit pure states possess a Gram matrix structure. This observation has opened a possibility of analysing the en…
\b{eta}-KMS Green functions generating functionals - the convexity based approach
Roman Gielerak
The notion of the stochastically positive \b{eta}-KMS (Euclidean time ) Green functionals on ( the abelian sectors of ) the CCR-algebras in Weyl form has been introduced .The main…
Schmidt decomposition of mixed-pure states for (d,infinity ) systems and some applications
Roman Gielerak
Summary. A simple derivation of finite Schmidt decomposition of pure states describing finite dimensional systems interacting with the infinite dimensional ones is presented. In pa…