Quantum 10, 2130 (2026).

https://doi.org/10.22331/q-2026-06-08-2130

We analyze the task of estimating a multi-parameter unitary belonging to the $SU(2)$ or $SU(1,1)$ groups, in a two-bosonic-mode scenario and investigate the scaling of the precision in terms of the total particle number. For the $SU(2)$ case, the total particle number is conserved by the evolution and we discuss optimal states…

As a promising footballer who’d race from goalmouth to goalmouth during a match, teenager Jamie Moran could never have imagined he had a potentially catastrophic heart condition that could have proved fatal at any moment. At just 14, the aspiring footballer from Dublin went for a routine Heartbeat Cardiac Screening. Within 24 hours, his family […]

Quantum 10, 2129 (2026).

https://doi.org/10.22331/q-2026-06-08-2129

Recent work highlighted the importance of higher-order correlations in quantum dynamics for a deeper understanding of quantum chaos and thermalization. The full Eigenstate Thermalization Hypothesis, the framework encompassing correlations, can be formalized using the language of Free Probability theory. In this context, chaotic…

Quantum 10, 2128 (2026).

https://doi.org/10.22331/q-2026-06-08-2128

Entanglement witnesses (EWs) are a collection of observables that can characterize separable states and, experimentally, estimating EWs can verify entangled states. In this work, we show that a fixed measurement setting on a multipartite entangled state, which we introduce as a network state for the purpose, can estimate EWs.…

Quantum 10, 2127 (2026).

https://doi.org/10.22331/q-2026-06-08-2127

Classical shadows provide a versatile framework for estimating many properties of quantum states from repeated, randomly chosen measurements without requiring full quantum state tomography. When prior information is available, such as knowledge of symmetries of states and operators, this knowledge can be exploited to…

Quantum 10, 2126 (2026).

https://doi.org/10.22331/q-2026-06-08-2126

The study of quantum reference frames has received renewed interest over the last years, leading to the parallel development of non-equivalent frameworks by different communities. We clarify the differences between these frameworks. At the mathematical level, they mainly differ in the kind of symmetry (either weak or strong)…

Concerns over the health of Boyzone star Mikey Graham were mounting yesterday after his appearance at the band’s reunion at the weekend. All four of the group’s remaining members appeared at London’s Emirates Stadium on Friday night – the first of two concerts by the band on consecutive nights – in front of 72,000 fans. […]

It was another weekend washout with rain bucketing down across the country. For the second weekend in a row since the start of the meteorological summer on June 1, the rain has paid every corner of the country a visit. And it looks like it is here to stay, as the grass gets even soggier […]

Concert promoter MCD is to make €61,000 available to the community of Slane as part of a deal to host two concerts at the Co. Meath venue next month. The money is being offered after locals expressed concerns over the impact on the area of two concerts by country star Luke Combs on the weekend […]

Quantum 10, 2125 (2026).

https://doi.org/10.22331/q-2026-06-02-2125

We construct a local decoder for the 2D toric code using ideas from the hierarchical classical cellular automata of Tsirelson and Gács. Our decoder is a circuit of strictly local quantum operations preserving a logical state for exponential time in the presence of circuit-level noise without the need for non-local classical…

Quantum 10, 2124 (2026).

https://doi.org/10.22331/q-2026-06-01-2124

We present a new simulation-secure quantum oblivious transfer (QOT) protocol based on one-way functions in the plain model. With a focus on practical implementation, our protocol surpasses prior works in efficiency, promising feasible experimental realization. We address potential experimental errors and their correction,…

Quantum 10, 2123 (2026).

https://doi.org/10.22331/q-2026-06-01-2123

We investigate quantum cellular automata (QCA) on one-dimensional spin systems defined over a subalgebra of the full local operator algebra – the symmetric subalgebra under a finite Abelian group symmetry $G$. For systems where each site carries a regular representation of $G$, we establish a complete classification of such…

Quantum 10, 2122 (2026).

https://doi.org/10.22331/q-2026-06-01-2122

This paper explores the sensitivity gains afforded by spin-squeezed states in atom interferometry, in particular using Bragg diffraction. We introduce a generalised input-output formalism that accurately describes realistic, non-unitary interferometers, including losses due to velocity selectivity and scattering into undesired…

Quantum 10, 2121 (2026).

https://doi.org/10.22331/q-2026-05-29-2121

A rigorous characterization of the information content of any highest-spin three-fermion wave function is presented. It is based upon a formal decomposition of the wave function into a finite set of fixed invariants, called shapes, whose sole purpose is to satisfy the Pauli principle, and a variable part, constituting the…

Quantum 10, 2120 (2026).

https://doi.org/10.22331/q-2026-05-29-2120

Haar random states are fundamental objects in quantum information theory and quantum computing. We study the density matrix resulting from sampling $t$ copies of a $d$-dimensional quantum state according to the Haar measure on the orthogonal group. In particular, we analytically compute its spectral decomposition. This allows…

Quantum 10, 2119 (2026).

https://doi.org/10.22331/q-2026-05-29-2119

Dynamical Lie algebras (DLAs) have emerged as a valuable tool in the study of parameterized quantum circuits, helping to characterize both their expressiveness and trainability. In particular, the absence or presence of barren plateaus (BPs) – flat regions in parameter space that prevent the efficient training of variational…

Quantum 10, 2118 (2026).

https://doi.org/10.22331/q-2026-05-29-2118

We propose an efficient classical algorithm to estimate the Neural Tangent Kernel (NTK) associated with a broad class of quantum neural networks. These networks consist of arbitrary unitary operators belonging to the Clifford group interleaved with parametric gates given by the time evolution generated by an arbitrary…

Quantum 10, 2117 (2026).

https://doi.org/10.22331/q-2026-05-29-2117

The availability of certain entangled resource states (catalyst states) can enhance the rate of converting several less entangled states into fewer highly entangled states in a process known as catalytic entanglement concentration (EC). Here, we extend catalytic EC from pure states to mixed states and numerically benchmark it…

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