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On the Cover

Physical Review X (PRX) is celebrating its 15th anniversary with a special cover image that honors the legacy of groundbreaking research the journal has published over the years.

From the article:

Editorial: Physical Review X at Fifteen
Denis Bartolo and Brent Grocholski
Phys. Rev. X 16, 030001 (2026)

Could Living Cells Use Phase Transitions to Process Information?

Arvind Murugan, David Zwicker, Charlotta Lorenz, and Eric R. Dufresne

Phys. Rev. X 16, 020501 (2026) - Published 12 May, 2026

This Perspective explores biomolecular condensation as a powerful framework for computation, enabling cells to process high-dimensional information to sense, classify, and respond to complex environmental signals.

Process Tensor Approaches to Non-Markovian Quantum Dynamics

Jonathan Keeling, E. Miles Stoudenmire, Mari-Carmen Bañuls, and David R. Reichman

Phys. Rev. X 16, 020502 (2026) - Published 22 June, 2026

Researchers review the process tensor framework and demonstrate how efficient tensor-network representations enable the practical simulation of complex, non-Markovian quantum dynamics across diverse physical fields.

Quantum-State-Controlled Collisions of Ultracold Polyatomic Molecules

Nathaniel B. Vilas, Paige Robichaud, Christian Hallas, Junheng Tao, Loïc Anderegg, Grace K. Li, Hana Lampson, Lucie D. Augustovičová, John L. Bohn, and John M. Doyle

Phys. Rev. X 16, 021001 (2026) - Published 1 April, 2026

Ultracold collisions between polyatomic molecules are observed and characterized, revealing how their unique internal structure can be used to shield them from loss.

Harnessing Quantum Backaction for Time-Series Processing

Giacomo Franceschetto, Marcin Płodzień, Maciej Lewenstein, Antonio Acín, and Pere Mujal

Phys. Rev. X 16, 021002 (2026) - Published 2 April, 2026

Tuning the strength of indirect measurements in quantum reservoir computing is shown to enhance memory and performance for processing time-series data, providing a way to turn quantum backaction into a resource.

Traveling-Wave Parametric Amplifier with Passive Reverse Isolation

C. S. Kow and M. T. Bell

Phys. Rev. X 16, 021003 (2026) - Published 3 April, 2026

By integrating passive reverse isolation into a multistage architecture, a new traveling-wave parametric amplifier with near-quantum-limited performance protects sensitive qubits from thermal backaction, enabling a scalable isolator-free readout architecture for superconducting quantum computers.

Observation of Nonadiabatic Landau-Zener Tunneling among Floquet States

Yun Yen, Marcel Reutzel, Andi Li, Zehua Wang, Hrvoje Petek, and Michael Schüler

Phys. Rev. X 16, 021004 (2026) - Published 3 April, 2026

Spectroscopic data reveal copper electronic states transitioning to nonadiabatic Landau-Zener tunneling among Floquet states under intense light.

Ultralow-Power Microwave Frequency Comb at a Bistable Phase Transition

Hanfeng Wang, Kurt Jacobs, Dirk R. Englund, and Matthew E. Trusheim

Phys. Rev. X 16, 021005 (2026) - Published 6 April, 2026

Leveraging a bistable phase transition in a hybrid quantum system enables the generation of a microwave frequency comb with 193 spectral teeth at unprecedentedly low driving power.

Physics-Based Factorized Machine Learning for Predicting Ionic Dielectric Tensors

Atsushi Takigawa, Shin Kiyohara, and Yu Kumagai

Phys. Rev. X 16, 021006 (2026) - Published 7 April, 2026

A machine-learning methodology helps screen thousands of candidate oxides to identify materials with excellent dielectric properties.

Targeted Calibration to Adjust Stability Biases in Complex Dynamical System Models

Daniel Pals, Sebastian Bathiany, Joel Kuettel, Richard A. Wood, and Niklas Boers

Phys. Rev. X 16, 021007 (2026) - Published 7 April, 2026

A method is introduced for systematic calibration of complex dynamical system models, targeted at adjusting system stability, with applications to climate models.

Nearly Isotropic Upper Critical Field in Pressurized Trilayer Nickelate La4Ni3O10δ

Di Peng et al.

Phys. Rev. X 16, 021008 (2026) - Published 8 April, 2026

Angle-dependent magnetotransport measurements under extreme pressure reveal an isotropic upper critical field in trilayer nickelates driven by the compensation of distinct electronic orbitals.

Active Hydrodynamic Theory of Euchromatin and Heterochromatin

S. Alex Rautu, Alexandra Zidovska, David Saintillan, and Michael J. Shelley

Phys. Rev. X 16, 021009 (2026) - Published 9 April, 2026

Researchers develop a theoretical framework that shows how mechanical forces and flows drive the spatial segregation and nucleus-wide patterning of chromatin in cells.

Subsurface Driven Size-Dependent Elasticity in Nanodiamond

Jiaqi Zhang, Chunmeng Liu, Xing Li, Dongyang Wang, Keke Zhao, Houlin Ji, Yoshifumi Oshima, Shaobo Cheng, and Chongxin Shan

Phys. Rev. X 16, 021010 (2026) - Published 10 April, 2026

Subsurface compliant regions in nanodiamond allow for an elastic response to strain, providing a method for engineering the mechanical properties of brittle materials like diamond.

Boosting the Thermoelectric Performance of α-MgAgSb through Phase-Transition-Induced Self-Doping

Kaiwei Guo, Tianyu Wang, Zhen Fan, Lunhua He, Fuhong Chen, Yi Wang, Qi Zhao, Jiawei Yang, Hangtian Zhu, Jun Li, Te-Huan Liu, and Huaizhou Zhao

Phys. Rev. X 16, 021011 (2026) - Published 10 April, 2026

A doping-free approach is able to boost thermoelectric performance, providing an attractive route for developing waste heat recovery technologies.

More is Less in Unpercolated Active Solids

Jack Binysh, Guido Baardink, Jonas Veenstra, Corentin Coulais, and Anton Souslov

Phys. Rev. X 16, 021012 (2026) - Published 13 April, 2026

By combining experiments with robotic metamaterials and theory, this work shows that increasing microscopic activity can counterintuitively cause a solid’s macroscale active response to vanish when active units are too sparse for the active forces to percolate through the structure.

Heating Dynamics of Mesoscopic Electron Baths at High Magnetic Field

F. Zanichelli, A. Veillon, C. Piquard, A. Aassime, Y. Sato, A. Cavanna, Y. Jin, J. Folk, U. Gennser, A. Anthore, and F. Pierre

Phys. Rev. X 16, 021013 (2026) - Published 14 April, 2026

Time-resolved noise thermometry on mesoscopic metallic islands reveals a two-step thermalization process arising from the interplay between electronic quantum channels and nuclear spins.

Magic Tricycles: Efficient Magic-State Generation with Finite Block-Length Quantum LDPC Codes

Varun Menon, J. Pablo Bonilla Ataides, Rohan Mehta, Andi Gu, Daniel Bochen Tan, and Mikhail D. Lukin

Phys. Rev. X 16, 021014 (2026) - Published 15 April, 2026

Quantum computing needs “magic states” for universality, but they are costly to make. New research introduces tricycle codes: high-rate QLDPC codes that can be used to generate CCZ magic states in constant depth with high noise resilience.

Model Order Reduction for Open Quantum Systems Based on Measurement-Adapted Time-Coarse Graining

Wentao Fan and Hakan E. Türeci

Phys. Rev. X 16, 021015 (2026) - Published 16 April, 2026

Researchers introduce measurement-adapted time-coarse graining, a model reduction technique that uses the time resolution of measurement channels to capture the observable dynamics of a complex quantum system.

Entropy of Strongly Correlated Electrons in a Partially Filled Landau Level

Alexandre Assouline, Taige Wang, Heun Mo Yoo, Ruihua Fan, Fangyuan Yang, Ruining Zhang, Takashi Taniguchi, Kenji Watanabe, Michael P. Zaletel, and Andrea F. Young

Phys. Rev. X 16, 021016 (2026) - Published 17 April, 2026

Entropy measurements in partially filled Landau levels reveal the successive freezing of spin and motional degrees of freedom, reaching sensitivities that constrain the isolation of topological entropy in non-Abelian quantum phases.

Prethermalization, Shadowing Breakdown, and the Absence of Trotterization Transition in Quantum Circuits

Marko Žnidarič

Phys. Rev. X 16, 021017 (2026) - Published 22 April, 2026

New research uses truncated propagators to show that shadowing time in many-body chaotic systems is finite. It also offers a method to calculate thermalization time, finding that the “Trotterization transition” is generically a finite-size effect.

Excitations across the Equilibrium and Photoinduced “Hidden” States of Magnetoresistive Manganites

Shiyu Fan, Feng Jin, Taehun Kim, Umesh Kumar, Zixun Zhang, Vivek Bhartiya, Jiemin Li, Brandon Yalin, Yanhong Gu, Mingqiang Gu, Wen Hu, Claudio Mazzoli, G. Lawrence Carr, Osor S. Barišić, Andrey S. Mishchenko, Valentina Bisogni, Sobhit Singh, Wenbin Wu, and Jonathan Pelliciari

Phys. Rev. X 16, 021018 (2026) - Published 23 April, 2026

Ultrafast photoexcitation in La2/3Ca1/3MnO3 generates a long-lived hidden phase with unique polaronic and phononic excitations that do not exist under standard equilibrium conditions.

Seeing New Depths: Three-Dimensional Flow of a Free-Swimming Alga

Gregorius Pradipta, Wanho Lee, Van Tran, Kyle Welch, Santosh K. Sankar, Yongsam Kim, Satish Kumar, Xin Yong, Jiarong Hong, Sookkyung Lim, and Xiang Cheng

Phys. Rev. X 16, 021019 (2026) - Published 24 April, 2026

Experimental three-dimensional measurements of the flow field around a free-swimming microalga reveal that microscopic organisms generate unexpected low-Reynolds-number flow phenomena, expanding our understanding of microhydrodynamics with profound biological implications for microbial motility and physiology.

Breakdown of the Thermodynamic Limit in Quantum Spin and Dimer Models

Jeet Shah, Laura Shou, Jeremy Shuler, and Victor Galitski

Phys. Rev. X 16, 021020 (2026) - Published 27 April, 2026

Geometry-induced quantum phase separation in quantum dimer models demonstrates that domain shape can fundamentally alter macroscopic ground states, challenging traditional assumptions about the thermodynamic limit.

Effect of Glass Stability on the Low Frequency Vibrations of Vapor Deposited Glasses

I. Festi, E. Alfinelli, D. Bessas, F. Caporaletti, A. I. Chumakov, M. Moratalla, M. A. Ramos, M. Rodríguez-López, C. Rodríguez-Tinoco, J. Rodríguez-Viejo, and G. Baldi

Phys. Rev. X 16, 021021 (2026) - Published 28 April, 2026

An improved inelastic x-ray scattering technique helps clarify the connections between complex vibrations and the properties of glasses.

Dipolar Nematic State in Relaxor Ferroelectrics

Yuan-Jinsheng Liu, Tyler C. Sterling, and Shi Liu

Phys. Rev. X 16, 021022 (2026) - Published 29 April, 2026

A nematic ordering underpins the behavior of relaxor ferroelectrics.

Cell Bulging and Extrusion in a Three-Dimensional Bubbly Vertex Model for Curved Epithelial Sheets

Oliver M. Drozdowski, Büşra Kocameşe-Tamgac𝚤, Kim E. Boonekamp, Michael Boutros, and Ulrich S. Schwarz

Phys. Rev. X 16, 021023 (2026) - Published 30 April, 2026

Cells at topological defects in curved epithelial sheets experience mechanical forces that facilitate extrusion.

Tracking Ultrafast Ion Diffusion Dynamics in AgCrSe2 Superionic Conductor

Jianmin Yang, Lin Xie, Mingyuan Hu, Yingpeng Qi, Jun Li, Baohai Jia, Jianghe Feng, Zijing Chen, Michel Bosman, Dao Xiang, and Jiaqing He

Phys. Rev. X 16, 021024 (2026) - Published 1 May, 2026

Direct spatial and temporal characterization of ion diffusion in superionic conductors provides a better link to macroscopic properties and high-performance material design.

Correlated Phase Error Bursts in a Gap-Engineered Superconducting Qubit Array

Vladislav D. Kurilovich, Gabrielle Roberts, Leigh S. Martin, Matt McEwen, Alec Eickbusch, Lara Faoro, Lev B. Ioffe, Juan Atalaya, Alexander Bilmes, John Mark Kreikebaum, Andreas Bengtsson, Paul Klimov, Matthew Neeley, Wojciech Mruczkiewicz, Kevin Miao, Igor L. Aleiner, Julian Kelly, Yu Chen, Kevin Satzinger, and Alex Opremcak

Phys. Rev. X 16, 021025 (2026) - Published 4 May, 2026

Ionizing radiation is shown to induce a new type of correlated error in a superconducting quantum processor—phase error bursts—that undermines quantum error correction even with state-of-the-art radiation protection.

Hydroplasticity of Nanocrystal Films Induced by Mesopore Change

Siyuan Liu, Yonggui Wang, Yu Yin, Xintong Meng, Zhen Lang, and Kai Zhang

Phys. Rev. X 16, 021026 (2026) - Published 5 May, 2026

A vapor training process allows for improved plasticity and better shaping of wood-derived films.

Scaling Laws of Quantum Information Lifetime in Monitored Quantum Dynamics

Bingzhi Zhang, Fangjun Hu, Runzhe Mo, Tianyang Chen, Hakan E. Türeci, and Quntao Zhuang

Phys. Rev. X 16, 021027 (2026) - Published 6 May, 2026

Researchers have discovered that recording data from midcircuit measurements can preserve quantum information for an exponentially long time. This finding offers a strategy to preserve fragile data and improve the performance of near-term quantum computers and algorithms.

Stealthy-Hyperuniform Wave Dynamics in Two-Dimensional Photonic Crystals

Maria Barsukova, Zeyu Zhang, Brian Gould, Koorosh Sadri, Christian Rosiek, Søren Stobbe, Jonas Karcher, and Mikael C. Rechtsman

Phys. Rev. X 16, 021028 (2026) - Published 7 May, 2026

While disordered stealthy hyperuniform materials are expected to be largely transparent within a particular range of wavelengths, new experiments on large-scale silicon photonic crystals reveal unexpected residual scattering driven by radiative loss.

Ballistic Spin Valve in Graphene Realized via Electron Optics

Daniel Burrow, Oktay Deveci, Rares Dragomir, Thomas Thomson, and Ivan J. Vera-Marun

Phys. Rev. X 16, 021029 (2026) - Published 7 May, 2026

Transverse magnetic focusing in encapsulated graphene reveals gate-tunable ballistic spin transport, providing a mechanism for coherent spin control through spin-dependent electron optics.

Intertwined Polar, Chiral, and Ferro-Rotational Orders in a Homo-Ferro-Rotational Insulator

Weizhe Zhang, June Ho Yeo, Xiaoyu Guo, Tony Chiang, Nishkarsh Agarwal, John T. Heron, Kai Sun, Junjie Yang, Sang-Wook Cheong, Youngjun Ahn, and Liuyan Zhao

Phys. Rev. X 16, 021030 (2026) - Published 8 May, 2026

Multimodal optical characterization of Ni3TeO6 identifies a uniform ferro-rotational state that couples polarity and chirality, leading to the formation of complex mixed-type domain walls.

Using Folded Proteins as Mechanically Well-Defined Units to Understand Fatigue Fracture in Hydrogels: Bridging Single Molecule and Bulk Studies

Liang Dong, Puyu Cao, Huiyan Chen, Yu Zhang, Ying Li, Bin Chen, Yi Cao, and Hai Lei

Phys. Rev. X 16, 021031 (2026) - Published 11 May, 2026

A force-response model helps understand fatigue behavior and provides a design strategy for fatigue resistant hydrogels and soft materials.

Liquid-Gas Criticality of Hyperuniform Fluids

Shang Gao, Hao Shang, Hao Hu, Yu-Qiang Ma, and Qun-Li Lei

Phys. Rev. X 16, 021032 (2026) - Published 11 May, 2026

Where ordinary fluids show wild fluctuations and critical opalescence, hyperuniform fluids of spinning particles stay unusually calm yet highly susceptible at the liquid–vapor critical point.

Probing Excited-State Dynamics of Transmon Ionization

Zihao Wang, Benjamin D’Anjou, Philippe Gigon, Alexandre Blais, and Machiel S. Blok

Phys. Rev. X 16, 021033 (2026) - Published 12 May, 2026

Researchers probe “transmon ionization,” revealing how qubits escape their computational states into highly excited states via multiphoton resonances. Understanding these Landau-Zener transitions is an important step toward developing better readout schemes.

Beyond Stellar Rank: Control Parameters for Scalable Optical Non-Gaussian State Generation

Fumiya Hanamura, Kan Takase, Hironari Nagayoshi, Ryuhoh Ide, Warit Asavanant, Kosuke Fukui, Petr Marek, Radim Filip, and Akira Furusawa

Phys. Rev. X 16, 021034 (2026) - Published 13 May, 2026

Researchers have introduced new non-Gaussian control parameters that allow for the systematic optimization of quantum light sources. This breakthrough can increase the success rate of generating essential quantum states by orders of magnitude.

Stretching Theory of Hookean Metashells

Luca Giomi

Phys. Rev. X 16, 021035 (2026) - Published 14 May, 2026

A continuum theory that describes how mechanical metamaterials deform on surfaces takes the form of the Schrödinger equation and provides a different path for materials design.

Elastic and Structural Anisotropy in Silica Thin Films for Gravitational-Wave Detectors

Brenda Bracco, Michele Magnozzi, Stefano Colace, Maurizio Canepa, Giulio Favaro, Marco Bazzan, Massimo Granata, David Hofman, Alessandro Di Michele, Laura Silenzi, Gianpietro Cagnoli, Giovanni Carlotti, Paola Sassi, and Silvia Corezzi

Phys. Rev. X 16, 021036 (2026) - Published 15 May, 2026

Researchers find that silica films in mirror coatings of gravitational-wave detectors have hidden anisotropy that resists standard heat treatment. This discovery informs coating design and deposition and postprocessing strategies aimed at reducing thermal noise.

Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy

Beini Gao, Mahdi Ghafariasl, Mahmoud Jalali Mehrabad, Tsung-Sheng Huang, Lifu Zhang, Deric Session, Pranshoo Upadhyay, Rundong Ma, Ghadah Alshalan, Daniel Suarez, Supratik Sarkar, Suji Park, Houk Jang, Kenji Watanabe, Takashi Taniguchi, Ming Xie, You Zhou, and Mohammad Hafezi

Phys. Rev. X 16, 021037 (2026) - Published 18 May, 2026

Magneto-optical spectroscopy of twisted WSe2 reveals a spontaneous quantum anomalous Hall phase and demonstrates electric-field control over transitions between ferromagnetic and antiferromagnetic orders.

Stochastic Calculus for Pathwise Observables of Markov-Jump Processes: Unification of Diffusion and Jump Dynamics

Lars Torbjørn Stutzer, Cai Dieball, and Aljaž Godec

Phys. Rev. X 16, 021038 (2026) - Published 19 May, 2026

A complete stochastic calculus for pathwise observables of Markov-jump processes is developed, unifying, in the continuum limit, the previously disjoint theories of diffusion and jump processes.

High-Rate Discrete-Modulated Continuous-Variable Quantum Key Distribution with Composable Security

Mingze Wu, Yan Pan, Junhui Li, Heng Wang, Lu Fan, Yun Shao, Yang Li, Wei Huang, Song Yu, Bingjie Xu, and Yichen Zhang

Phys. Rev. X 16, 021039 (2026) - Published 20 May, 2026

Researchers achieve a high secret key rate for quantum communication over fiber optics. By combining advanced signal modulation with new security analysis tools, they have made highly secure, high-speed quantum networks closer to practical implementation.

Nondestructive Optical Readout and Manipulation of Circular Rydberg Atoms

Y. Machu, A. Durán-Hernández, G. Creutzer, A. A. Young, J. M. Raimond, M. Brune, and C. Sayrin

Phys. Rev. X 16, 021040 (2026) - Published 20 May, 2026

Local quantum nondemolition measurements and optical manipulation of long-lived circular Rydberg atoms are demonstrated by coupling them to an auxiliary array of low-angular-momentum Rydberg atoms.

Robust Orbital-Selective Flat Bands in Layered Transition-Metal Oxyhalides at Room Temperature

Xiangyu Luo, Ludovica Zullo, Sahaj Patel, Dongjin Oh, Willa Mihalyi-Koch, Emma Lian, Jiaruo Li, Qian Song, Asish K. Kundu, Anil Rajapitamahuni, Elio Vescovo, Natalia Olszowska, Rafał Kurleto, Dawid Wutke, Xavier Roy, Giorgio Sangiovanni, and Riccardo Comin

Phys. Rev. X 16, 021041 (2026) - Published 21 May, 2026

Angle-resolved photoemission spectroscopy of layered transition-metal oxyhalides reveals intrinsic flat bands that remain stable at room temperature, providing a tunable platform for investigating strongly correlated electron states.

Passive Quantum Error Correction of Photon Loss at Breakeven

Shruti Shirol, Sean van Geldern, Hanzhe Xi, and Chen Wang

Phys. Rev. X 16, 021042 (2026) - Published 22 May, 2026

Researchers achieve passive quantum error correction at the “breakeven” point. Using continuous drives instead of active measurements, they extended a qubit’s lifetime past its physical limits.

Three-Dimensional XY Universality and Nonlinear Magnetic Susceptibility in a Kagome Ice Compound

Kan Zhao, Hao Deng, Hua Chen, Nvsen Ma, Noah Oefele, Jiesen Guo, Xueling Cui, Chen Tang, Matthias J. Gutmann, Thomas Mueller, Yixi Su, Vladimir Hutanu, Changqing Jin, and Philipp Gegenwart

Phys. Rev. X 16, 021043 (2026) - Published 26 May, 2026

Nonlinear magnetic susceptibility measurements in the kagome spin ice HoAgGe reveal hidden time-reversal symmetry breaking in the ground states, reached via a three-dimensional XY universality class transition.

Anyon Superfluidity of Excitons in Quantum Hall Bilayers

Zhaoyu Han, Taige Wang, Zhihuan Dong, Michael P. Zaletel, and Ashvin Vishwanath

Phys. Rev. X 16, 021044 (2026) - Published 27 May, 2026

Theoretical analysis of quantum Hall bilayers reveals that topological criticality facilitates the emergence of anyonic exciton superfluids, offering a robust mechanism for engineering exotic collective quantum states.

Super-resonance: Breaking the Bandwidth Limit of Resonant Modes and Its Application to Flow Control

Adam R. Harris, Armin Kianfar, David Roca, Daniel Yago, Christoph Brehm, and Mahmoud I. Hussein

Phys. Rev. X 16, 021045 (2026) - Published 28 May, 2026

Super-resonance maintains a broadband out-of-phase response well beyond the characteristic bandwidth of conventional resonance, enabling broadband flow stabilization among other applications.

General Framework Enabling Polarity-Tunable Time-Reversal Symmetric Superconducting Diode Effects in Gate-Defined Homojunctions

Hongwei Zhang, Chunsheng Wang, Ran Wang, Senyang Pan, Hengning Wang, Jiaqiang Cai, Yonglai Liu, Zhe Qu, Xiangde Zhu, Wei Ning, Chuanying Xi, Jinglei Zhang, Ning Hao, Guolin Zheng, and Mingliang Tian

Phys. Rev. X 16, 021046 (2026) - Published 29 May, 2026

Local protonic gating in NbSe2 homojunctions induces a time-reversal symmetric superconducting diode effect, enabling the magnetic-field-free control of nonreciprocal critical currents.

Reconfigurable Dissipative Entanglement between Many Spin Ensembles: From Robust Quantum Sensing to Many-Body State Engineering

Anjun Chu, Mikhail Mamaev, Martin Koppenhöfer, Ming Yuan, and Aashish A. Clerk

Phys. Rev. X 16, 021047 (2026) - Published 1 June, 2026

Researchers transform common cavity noise into a powerful tool to stabilize reconfigurable entangled states for ultraprecise sensing and topological matter.

Predicting Physical Links in Networks

Shuai Li, Wei Chen, and Jan Nagler

Phys. Rev. X 16, 021048 (2026) - Published 2 June, 2026

A physics-informed framework allows for inferring general causal links across a wide range of networked dynamics systems.

Generating Arbitrary Superpositions of Nonclassical Quantum Harmonic Oscillator States

S. Saner, O. Băzăvan, D. J. Webb, G. Araneda, D. M. Lucas, C. J. Ballance, and R. Srinivas

Phys. Rev. X 16, 021049 (2026) - Published 3 June, 2026

Researchers have developed a method to generate arbitrary superpositions of non-Gaussian states in trapped-ion systems and applied it to realize superpositions of squeezed, trisqueezed, and higher-order squeezed states, with applications in quantum sensing and error correction.

Reassessing the Boundary between Classical and Nonclassical for Individual Quantum Processes

Yujie Zhang, David Schmid, Yìlè Yīng, and Robert W. Spekkens

Phys. Rev. X 16, 021050 (2026) - Published 4 June, 2026

Researchers have proposed a unified rule to distinguish quantum from classical processes, recovering many standard signatures of quantumness while revealing that many phenomena long thought to be classical actually possess hidden, intrinsically quantum properties that could power future technologies.

Are Neural Networks Collision Resistant?

Marco Benedetti, Andrej Bogdanov, Enrico M. Malatesta, Marc Mézard, Gianmarco Perrupato, Alon Rosen, Nikolaj I. Schwartzbach, and Riccardo Zecchina

Phys. Rev. X 16, 021051 (2026) - Published 5 June, 2026

A study of the computational complexity of finding collisions in a simple one-layer neural network shows that efficient algorithms fail to find collisions, a result of direct relevance for the definition of new cryptographic protocols based on machine-learning models.

Lieb-Mattis States for Robust Entangled Differential Phase Sensing

Raphael Kaubruegger, Diego Fallas Padilla, Athreya Shankar, Christoph Hotter, Sean R. Muleady, Jacob Bringewatt, Youcef Baamara, Erfan Abbasgholinejad, Alexey V. Gorshkov, Klaus Mølmer, James K. Thompson, and Ana Maria Rey

Phys. Rev. X 16, 021052 (2026) - Published 9 June, 2026

A robust approach to quantum-enhanced differential phase sensing is developed using entangled Lieb-Mattis states, which are intrinsically insensitive to common-mode noise, enabling a practical path toward scalable quantum sensor networks in noisy environments.

Fate of Topological Dirac Magnons in van der Waals Ferromagnets at Finite Temperature

Rintaro Eto, Ignacio Salgado-Linares, Masahito Mochizuki, Johannes Knolle, and Alexander Mook

Phys. Rev. X 16, 021053 (2026) - Published 10 June, 2026

Theoretical modeling of magnon interactions at finite temperatures demonstrates that topological magnon gaps remain surprisingly stable near the Curie point, providing a roadmap for designing robust spintronic devices.

General Approach to Solving Spin Moiré Superstructures

Paul M. Neves, Takashi Kurumaji, Joshua P. Wakefield, Arno Hiess, Paul Steffens, Navid Qureshi, Robert Cubitt, Lisa M. DeBeer-Schmitt, Johanna C. Palmstrom, Satoru Hayami, Marek Bartkowiak, Markus Zolliker, Jonathan S. White, and Joseph G. Checkelsky

Phys. Rev. X 16, 021054 (2026) - Published 11 June, 2026

Mapping of spin textures in EuAg4Sb2 reveals three distinct, tunable magnetic phases, establishing a design framework for materials that manipulate information via spin-based vortex lattices.

Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere

Zheng Zhou (周正), Davide Gaiotto, and Yin-Chen He

Phys. Rev. X 16, 021055 (2026) - Published 12 June, 2026

Researchers use noncommutative “fuzzy” spheres to study three-dimensional fermionic conformal field theories, uncovering emergent supersymmetry.

Dynamics of Quantum Chiral Solitons

Leandro M. Chinellato, Oleg A. Starykh, and Cristian D. Batista

Phys. Rev. X 16, 021056 (2026) - Published 15 June, 2026

A nonperturbative quantization framework for chiral solitons in spin chains demonstrates that they condense into a Tomonaga-Luttinger liquid, appearing as low-energy excitations above the ferromagnetic phase and becoming detectable via inelastic neutron scattering.

Quantifying Quantum Computational Advantage on a Processor of Ultracold Atoms

Yong-Guang Zheng, Ying-Chao Shen, Wei-Yong Zhang, An Luo, Ying Liu, Ming-Gen He, Hao-Ran Zhang, Wan Lin, Han-Yi Wang, Zi-Hang Zhu, Pei-Yue Qiu, Tian-Yi Wang, Ming-Cheng Chen, Chao-Yang Lu, Supanut Thanasilp, Dimitris G. Angelakis, Zhen-Sheng Yuan, and Jian-Wei Pan

Phys. Rev. X 16, 021057 (2026) - Published 18 June, 2026

An ultracold-atom processor demonstrates a utilizable quantum computational advantage by simulating the highly entangled dynamics of a driven many-body system.

Ghost Mechanism: An Analytical Model of Abrupt Learning in Recurrent Networks

Fatih Dinc, Ege Cirakman, Bariscan Kurtkaya, Mert Yuksekgonul, Yiqi Jiang, Mark J. Schnitzer, and Hidenori Tanaka

Phys. Rev. X 16, 021058 (2026) - Published 23 June, 2026

This study establishes the ghost mechanism as an underlying mechanism for abrupt learning, whereby the recurrent neural network develops ghost points—transient dynamical bottlenecks—and identifies ways to overcome the training instabilities.

Complexity-Theoretic Foundations of BosonSampling with a Linear Number of Modes

Adam Bouland, Daniel Brod, Ishaun Datta, Bill Fefferman, Daniel Grier, Felipe Hernández, and Michał Oszmaniec

Phys. Rev. X 16, 021059 (2026) - Published 24 June, 2026

Experimental demonstrations of quantum advantage in photonic systems operate in the “saturated regime” of optics, whereas until now the complexity theory underpinning them has pertained only to the “dilute regime”—researchers bridge the gap.

Above-Unity Coherent Cooperativity of Tin-Vacancy Centers in Diamond Photonic Crystal Cavities

Nina Codreanu, Tim Turan, Daniel Bedialauneta Rodriguez, Matteo Pasini, Lorenzo de Santis, Maximilian Ruf, Christian F. Primavera, Leonardo G. C. Wienhoven, Caroline E. Smulders, Simon Gröblacher, and Ronald Hanson

Phys. Rev. X 16, 021060 (2026) - Published 25 June, 2026

Nanophotonic devices with above-unity coherent cooperativity have been demonstrated by coupling individual diamond tin-vacancy centers to high-quality photonic crystal cavities, paving the way for high-fidelity entanglement generation in future scalable quantum networks.

Rare Cage Escapes Drive Relaxation in Deeply Supercooled Liquids

Francesco Rusciano, Raffaele Pastore, Francesco Greco, and Walter Kob

Phys. Rev. X 16, 021061 (2026) - Published 26 June, 2026

Simulations conducted significantly below the mode coupling temperature allow dynamic properties of glass forming systems to be uncovered.

Observation of Synchronization between Two Quantum van der Pol Oscillators in Trapped Ions

Jiarui Liu, Qiming Wu, Joel E. Moore, Hartmut Haeffner, and Christopher W. Wächtler

Phys. Rev. X 16, 021062 (2026) - Published 29 June, 2026

Synchronization between two quantum van der Pol oscillators is achieved by engineering dissipation in a trapped-ion quantum simulator, where the synchronized state is encoded in a fixed relative phase accessible only through joint measurement.

Multiscale Interfacial Mechanics of Soft Solids

Nicolas Bain, Lawrence A. Wilen, Dominic Gerber, Mengjie Zu, Carl P. Goodrich, Senthilkumar Duraivel, Kaarthik Varma, Harsha Koganti, Robert W. Style, and Eric R. Dufresne

Phys. Rev. X 16, 021063 (2026) - Published 30 June, 2026

Using high-precision 3D location and tracking of nanotracers, this work investigates interfacial properties and mechanical response of soft polymer solids, revealing the multiscale nature of soft solid interfaces.

Erratum: Opposite Effects of the Rotational and Translational Energy on the Rates of Ion-Molecule Reactions near 0 K: The D2++NH3 and D2++ND3 Reactions [Phys. Rev. X 14, 011034 (2024)]

Raphaël Hahn, David Schlander, Valentina Zhelyazkova, and Frédéric Merkt

Phys. Rev. X 16, 029901 (2026) - Published 20 May, 2026

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