11 citations · 13 across the 3 of their papers we have counts for
5 papers
Intrinsic volumes of the quantum state space and mutually unbiased bases
Zsombor Szilágyi, Mihály Weiner
Previous studies on the geometrical properties of the state space of a finite-level quantum system have determined its volume and surface area. Building on this foundation, we deri…
Higher rank antipodality
Márton Naszódi, Zsombor Szilágyi, Mihály Weiner
Motivated by general probability theory, we say that the set in is \emph{antipodal of rank }, if for any elements , there is an…
On a conjecture regarding quantum hypothesis testing
Zsombor Szilágyi
In this MSc thesis I consider the asymptotic behaviour of the symmetric error in composite hypothesis testing. In the classical case, when the null and alternative hypothesis are f…
On the error exponents of binary state discrimination with composite hypotheses
Milán Mosonyi, Zsombor Szilágyi, Mihály Weiner
The trade-off between the two types of errors in binary state discrimination may be quantified in the asymptotics by various error exponents. In the case of simple i.i.d. hypothese…
Rigidity and a common framework for mutually unbiased bases and k-nets
Sloan Nietert, Zsombor Szilágyi, Mihály Weiner
Many deep, mysterious connections have been observed between collections of mutually unbiased bases (MUBs) and combinatorial designs called -nets (and in particular, between com…