7 citations · 8 across the 10 of their papers we have counts for
10 papers
Relations between different definitions of the quantum Wasserstein distance
Géza Tóth, József Pitrik
The quantum Wasserstein distances defined by Golse, Mouhot, Paul, and Caglioti and by De Palma and Trevisan coincide for qubits when a single operator appears in the cost function.…
General method for obtaining the energy minimum of spin Hamiltonians for separable states
Géza Tóth, József Pitrik
We present a general method to determine the energy minimum of spin Hamiltonians over separable states when the single-particle reduced density matrices are fixed. For ferromagneti…
Unit distance graphs with few crossings per edge
Panna Gehér, Dömötör Pálvölgyi, Dániel G. Simon +1
A graph is called a -planar unit distance graph if it can be drawn in the plane such that every edge is a unit line segment and is involved in at most crossings. We investig…
Matchings avoiding ordered patterns
János Barát, Andrea Freschi, Géza Tóth
A {\it vertex-ordered} graph is a graph equipped with a linear ordering of its vertices. A pair of independent edges in an ordered graph can exhibit one of the following three patt…
Differential magnetometry with partially flipped Dicke states
Iagoba Apellaniz, Manuel Gessner, Géza Tóth
We study magnetometry of gradients and homogeneous background fields along the three orthogonal directions using two spatially separated spin ensembles. We derive trade-off relatio…
Quantum Wasserstein distance and its relation to several types of fidelities
Géza Tóth, József Pitrik
We consider several definitions of the quantum Wasserstein distance based on an optimization over general bipartite quantum states with given marginals. Then, we examine the quanti…
Hong-Ou-Mandel interference of more than 10 indistinguishable atoms
Martin Quensen, Mareike Hetzel, Luis Santos +4
When two indistinguishable bosons interfere at a beam splitter, they both exit through the same output port. This foundational quantum-mechanical phenomenon, known as the Hong-Ou-M…
Reference-frame-independent quantum metrology
Satoya Imai, Otfried Gühne, Géza Tóth
How can we perform a metrological task if only limited control over a quantum system is given? Here, we present systematic methods for conducting nonlinear quantum metrology in sce…
Alternatives of entanglement depth and metrological entanglement criteria
Szilárd Szalay, Géza Tóth
We work out the general theory of one-parameter families of partial entanglement properties and the resulting entanglement depth-like quantities. Special cases of these are the dep…
Partitioning perfect graphs into comparability graphs
András Gyárfás, Márton Marits, Géza Tóth
We study how many comparability subgraphs are needed to partition the edge set of a perfect graph. We show that many classes of perfect graphs can be partitioned into (at most) two…