69 citations · 110 across the 13 of their papers we have counts for
14 papers
Directional Codes: a new family of quantum LDPC codes on hexagonal- and square-grid connectivity hardware
György P. Gehér, David Byfield, Archibald Ruban
Utility-scale quantum computing requires quantum error correction (QEC) to protect quantum information against noise. Currently, superconducting hardware is a promising candidate f…
To reset, or not to reset -- that is the question
György P. Gehér, Marcin Jastrzebski, Earl T. Campbell +1
Whether to reset qubits, or not, during quantum error correction experiments is a question of both foundational and practical importance for quantum computing. Text-book quantum er…
The structure of maps on the space of all quantum pure states that preserve a fixed quantum angle
György Pál Gehér, Michiya Mori
Let be a Hilbert space and be the projective space of all quantum pure states. Wigner's theorem states that every bijection that preserves the qua…
Maps preserving absolute continuity and singularity of positive operators
György Pál Gehér, Zsigmond Tarcsay, Titkos Tamás
In this paper we consider the cone of all positive, bounded operators acting on an infinite dimensional, complex Hilbert space, and examine bijective maps that preserve absolute co…
Isometric study of Wasserstein spaces --- the real line
György Pál Gehér, Tamás Titkos, Dániel Virosztek
Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space . It turned out that the case of the rea…
Isometries of Grassmann spaces, II
Gy. P. Gehér, P. Šemrl
Botelho, Jamison, and Molnár \cite{BJM}, and Geh\' er and Šemrl \cite{GeS} have recently described the general form of surjective isometries of Grassmann spaces of all projections…
Wigner's theorem on Grassmann spaces
György Pál Gehér
Wigner's celebrated theorem, which is particularly important in the mathematical foundations of quantum mechanics, states that every bijective transformation on the set of all rank…
Is it possible to determine a point lying in a simplex if we know the distances from the vertices?
György Pál Gehér
It is an elementary fact that if we fix an arbitrary set of affine independent points in , then the Euclidean distances $\{|x-p_j|\}_{j=0}^d…
Asymptotic behaviour of Hilbert space operators with applications
György Pál Gehér
This dissertation summarizes my investigations in operator theory during my PhD studies. The first chapter is an introduction to that field of operator theory which was developed b…
A contribution to the Aleksandrov conservative distance problem in two dimensions
György Pál Gehér
Let be a two-dimensional real normed space. In this paper we show that if the unit circle of does not contain any line segment such that the distance between its endpoints…
Maps on real Hilbert spaces preserving the area of parallelograms and a preserver problem on self-adjoint operators
György Pál Gehér
In this paper first we describe all (not necessarily linear or bijective) transformations on with which preserve the area of parallelograms spanned…
Maps on classes of Hilbert space operators preserving measure of commutativity
György Pál Gehér, Gergő Nagy
In this paper first we give a partial answer to a question of L. Molnár and W. Timmermann. Namely, we will describe those linear (not necessarily bijective) transformations on the…
An elementary proof for the non-bijective version of Wigner's theorem
Gy. P. Gehér
The non-bijective version of Wigner's theorem states that a map which is defined on the set of self-adjoint, rank-one projections (or pure states) of a complex Hilbert space and wh…
Asymptotic Behaviour and Cyclic Properties of Weighted Shifts on Directed Trees
György Pál Gehér
In this paper we investigate a new class of operators called weighted shifts on directed trees introduced recently in [Z. J. Jablonski, I. B. Jung and J. Stochel, A Non-hyponormal…