24 citations · 38 across the 7 of their papers we have counts for
7 papers
Orthocomplemented weak tensor products
Boris Ischi
Let L_1 and L_2 be complete atomistic lattices. In a previous paper, we have defined a set S=S(L_1,L_2) of complete atomistic lattices, the elements of which are called weak tensor…
Decoherence in a N-qubit solid-state quantum computer
B. Ischi, M. Hilke, M. Dube
We investigate the decoherence process for a quantum register composed of N qubits coupled to an environment. We consider an environment composed of one common phonon bath and seve…
Orthocomplementation and compound systems
Boris Ischi
In their 1936 founding paper on quantum logic, Birkhoff and von Neumann postulated that the lattice describing the experimental propositions concerning a quantum system is orthocom…
The Chu construction for complete atomistic coatomistic lattices
Boris Ischi, Gavin J. Seal
The Chu construction is used to define a *-autonomous structure on a category of complete atomistic coatomistic lattices. This construction leads to a new tensor product that is co…
A characterization of the Aerts product of Hilbertian lattices
Boris Ischi
Let H_1 and H_2 be complex Hilbert spaces, L_1=P(H_1) and L_2=P(H_2) the lattices of closed subspaces, and let L be a complete atomistic lattice. We prove under some weak assumptio…
Weak tensor products of complete atomistic lattices
Boris Ischi
Given two complete atomistic lattices L_1 and L_2, we define a set S(L_1,L_2) of complete atomistic lattices by means of three axioms (natural regarding the description of separate…