6 citations · 10 across the 13 of their papers we have counts for
16 papers
Exact and asymptotic enumeration of unrestricted binary phylogenetic networks through automorphism weights
Josep Batle
Let $\cP_{\ell,k}$ be the set of rooted binary phylogenetic networks with labelled leaves, reticulations and no parallel edges. We write $|\cP_{\ell,k}|=W_k(\ell)+D_k(\e…
Trade-offs and experimental feasibility of nonlocal polygamy with two-outcome Bell inequalities
Josep Batle, Tomasz Rybotycki, Tomasz Białecki +2
Entanglement and Bell nonlocality have different sharing constraints across subsystems of a multipartite quantum system. We examine simultaneous violations of Bell inequalities wit…
Dipolar order across Bravais lattice space: classification, spin waves, and a four-attractor phase diagram
Josep Batle
Every crystal is a Bravais lattice decorated by a basis, so the dipolar ordering of the fourteen Bravais lattices is the natural starting point for any systematic theory of dipolar…
Classical dipolar Heisenberg models on the Archimedean and Laves lattices
Josep Batle
We study classical Heisenberg spins interacting through the dipole--dipole interaction on the eleven Archimedean and eight Laves planar lattices at canonical geometry, which reduce…
Quantum error-correcting codes from aperiodic monotiles: the Hat and the Spectre
Josep Batle, Adam Bednorz
Li and Boyle showed that the Penrose tiling defines a quantum error-correcting code: superpositions of tilings over isometry orbits protect quantum information against erasure of a…
Stable High-Order Vortices in Spin-Orbit-Coupled Spin-1 Bose-Einstein Condensates
Xin-Feng Zhang, Huan-Bo Luo, Josep Batle +2
The present contribution explores phase transitions that occur in the ground state (GS) of spin-1 Bose-Einstein condensates (BECs) with spin-orbit coupling (SOC) under the action o…
Testing time order and Leggett-Garg inequalities with noninvasive measurements on public quantum computers
Tomasz Rybotycki, Tomasz Białecki, Josep Batle +4
We demonstrate the first violation of the Leggett-Garg inequality and time-order noninvariance on public quantum computers using genuine noninvasive measurements. By gathering suff…
Closing objectivity loophole in Bell tests on a public quantum computer
Adam Bednorz, Josep Batle, Tomasz Białecki +1
We have constructed and run a Bell test of local realism focusing on the objectivity criterion. Objectivity means that the outcomes are confirmed macroscopically by a few observers…
Solitons in Bose-Einstein Condensates with Attractive Self-Interaction on a Möbius Strip
Huan-Bo Luo, Guilong Li, Fu-Quan Dou +4
We study the matter-wave solitons in Bose-Einstein condensate (BEC) trapped on a Möbius strip (MS), based on the respective Gross-Pitaevskii (GP) equation with the mean-field theor…
Thermodynamics of free bosons and fermions in the hyperball
Josep Batle, Boris A. Malomed
Many-particle systems pose commonly known computational challenges in quantum theory. The obstacles arise from the difficulty in finding sets of eigenvalues and eigenvectors of the…
Device-independent prepare-and-prepare bipartite null witness dimension test with a single joint measurement
Josep Batle, Tomasz Białecki, Tomasz Rybotycki +1
We propose a device-independent null witness dimensionality test with bipartite measurements and input from two separate parties. The dimension is determined from the rank of the m…
Violation of no-signaling on a public quantum computer
Tomasz Rybotycki, Tomasz Białecki, Josep Batle +1
No-signaling is a consequence of the no-communication theorem that states that bipartite systems cannot transfer information unless a communication channel exists. It is also a by-…
Device-independent dimension leakage null test on qubits at low operational cost
Tomasz Rybotycki, Tomasz Białecki, Josep Batle +1
We construct a null test of the two-level space of a qubit, which is both device independent and needs a small number of different experiments. We demonstrate its feasibility on IB…
Efficient discrimination between real and complex quantum theories
Josep Batle, Tomasz Białecki, Tomasz Rybotycki +2
We improve the test to show the impossibility of a quantum theory based on real numbers by a larger ratio of complex-to-real bound on a Bell-type parameter. In contrast to previous…
Cross-platform certification of the qubit space with a minimal number of parameters
Tomasz Rybotycki, Tomasz Białecki, Josep Batle +2
We demonstrate a determinant dimension witness of a qubit space. Our test has a minimal number of independent parameters. We achieve it by mapping the Bloch sphere -rotation a…
Quantum null-hypothesis device-independent Schmidt rank witness
Josep Batle, Tomasz Białecki, Tomasz Rybotycki +2
We investigate the dimensionality of bipartite quantum systems by construction of a device-independent null witness test. This test assesses whether a given bipartite state conform…