42 citations · 184 across the 21 of their papers we have counts for
24 papers
Local Clustering Decoder as a fast and adaptive hardware decoder for the surface code
Abbas B. Ziad, Ankit Zalawadiya, Canberk Topal +4
To avoid prohibitive overheads in performing fault-tolerant quantum computation, the decoding problem needs to be solved accurately and at speeds sufficient for fast feedback. Exis…
Demonstrating real-time and low-latency quantum error correction with superconducting qubits
Laura Caune, Luka Skoric, Nick S. Blunt +22
Quantum error correction (QEC) will be essential to achieve the accuracy needed for quantum computers to realise their full potential. The field has seen promising progress with de…
Leakage Mobility in Superconducting Qubits as a Leakage Reduction Unit
Joan Camps, Ophelia Crawford, György P. Gehér +3
Leakage from the computational subspace is a damaging source of noise that degrades the performance of most qubit types. Unlike other types of noise, leakage cannot be overcome by…
Accommodating Fabrication Defects on Floquet Codes with Minimal Hardware Requirements
Campbell McLauchlan, György P. Gehér, Alexandra E. Moylett
Floquet codes are an intriguing generalisation of stabiliser and subsystem codes, which can provide good fault-tolerant characteristics while benefiting from reduced connectivity r…
Error-corrected Hadamard gate simulated at the circuit level
György P. Gehér, Campbell McLauchlan, Earl T. Campbell +2
We simulate the logical Hadamard gate in the surface code under a circuit-level noise model, compiling it to a physical circuit on square-grid connectivity hardware. Our paper is t…
Isometric rigidity of Wasserstein spaces over Euclidean spheres
György Pál Gehér, Aranka Hrušková, Tamás Titkos +1
We study the structure of isometries of the quadratic Wasserstein space over the sphere endowed with the distance inherited from…
Tangling schedules eases hardware connectivity requirements for quantum error correction
Gyorgy P. Geher, Ophelia Crawford, Earl T. Campbell
Quantum computers have the potential to change the way we solve computational problems. Due to the noisy nature of qubits, the need arises to correct physical errors occurring duri…
Compilation of a simple chemistry application to quantum error correction primitives
Nick S. Blunt, György P. Gehér, Alexandra E. Moylett
A number of exciting recent results have been seen in the field of quantum error correction. These include initial demonstrations of error correction on current quantum hardware, a…
When is the variance of one observable less than or equal to that of another with respect to all quantum states?
György Pál Gehér, Nazar Miheisi
In quantum mechanics, the well-known Loewner order expresses that one observable's expectation value is less than or equal than that of another with respect to all quantum states.…
Quantum Wasserstein isometries on the qubit state space
György Pál Gehér, József Pitrik, Tamás Titkos +1
We describe Wasserstein isometries of the quantum bit state space with respect to distinguished cost operators. We derive a Wigner-type result for the cost operator involving all t…
Isometric rigidity of Wasserstein tori and spheres
György Pál Gehér, Tamás Titkos, Dániel Virosztek
We prove isometric rigidity for -Wasserstein spaces over finite-dimensional tori and spheres for all . We present a unified approach to proving rigidity that relies on the ro…
The isometry group of Wasserstein spaces: the Hilbertian case
György Pál Gehér, Tamás Titkos, Dániel Virosztek
Motivated by Kloeckner's result on the isometry group of the quadratic Wasserstein space , we describe the isometry group $\mathrm{Isom}\lef…
Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations
Gyorgy Pal Geher, Peter Semrl
The Hilbert space effect algebra is a fundamental mathematical structure which is used to describe unsharp quantum measurements in Ludwig's formulation of quantum mechanics. Each e…
Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
L. Brightmore, G. P. Geher, A. R. Its +4
We calculate the entanglement entropy of a non-contiguous subsystem of a chain of free fermions. The starting point is a formula suggested by Jin and Korepin, \texttt{arXiv:1104.10…
On isometric embeddings of Wasserstein spaces -- the discrete case
György Pál Gehér, Tamás Titkos, Dániel Virosztek
The aim of this short paper is to offer a complete characterization of all (not necessarily surjective) isometric embeddings of the Wasserstein space ,…
Maps on positive definite operators preserving the quantum -divergence
Hong-Yi Chen, György Pál Gehér, Chih-Neng Liu +3
We describe the structure of all bijective maps on the cone of positive definite operators acting on a finite and at least two-dimensional complex Hilbert space which preserve the…
A characterisation of isometries with respect to the Lévy-Prokhorov metric
György Pál Gehér, Tamás Titkos
According to the fundamental work of Yu.V. Prokhorov, the general theory of stochastic processes can be regarded as the theory of probability measures in complete separable metric…
Symmetries of projective spaces and spheres
György Pál Gehér
Let be either a complex inner product space of dimension at least two, or a real inner product space of dimension at least three. Let us fix an …
Surjective Kuiper isometries
György Pál Gehér
Characterizations of surjective isometries with respect to the Kuiper distance on three classes of Borel probability measures of (or equivalently, probability distribu…
On -norm preservers and the Aleksandrov conservative -distance problem
Gy. P. Gehér
The goal of this paper is to point out that the results obtained in the recent papers [7,8,10,11] can be seriously strengthened in the sense that we can significantly relax the ass…
Isometries of Grassmann spaces
György Pál Gehér, Peter Šemrl
Botelho, Jamison, and Moln\' ar have recently described the general form of surjective isometries of Grassmann spaces on complex Hilbert spaces under certain dimensionality assumpt…
Bilateral weighted shift operators similar to normal operators
György Pál Gehér
We prove that an injective, not necessarily bounded weighted bilateral shift operator on is similar to a normal operator if and only if it is similar to a scal…
Characterisation of Cesàro and -Asymptotic Limits of Matrices
György Pál Gehér
The main goal of this paper is to characterise all the possible Cesàro and -asymptotic limits of powerbounded, complex matrices. The investigation of the -asymptotic limit of…
Asymptotic limits of operators similar to normal operators
György Pál Gehér
Sz.-Nagy's famous theorem states that a bounded operator which acts on a complex Hilbert space is similar to a unitary operator if and only if is invertible a…