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Live trends in quantum computing research, updated daily from arXiv.
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Hardware platform mentions in abstracts — Photonic leads
Quantum ergodicity and semiclassical measures: mathematical results
Stéphane Nonnenmacher·Jun 10, 2026
In this chapter we review some results describing the high-frequency eigenmodes of the Laplacian on compact manifolds, or Euclidean domains, for which the geodesic flow is chaotic. We focus on the macroscopic distribution of these eigenmodes, which i...
Necessary and Sufficient Conditions for Universal Gates with Pauli Strings and Beyond
Isaac D. Smith, Hans J. Briegel, Hendrik Poulsen Nautrup·Jun 10, 2026
Any quantum computation consists of a sequence of unitary evolutions described by a finite set of Hamiltonians. For the case where this set consists of only products of Pauli operators, known as Pauli strings, we provide a necessary and sufficient co...
Non-Hermitian Delocalization Realizes Random Dirac Criticality in One Dimension
Bo Li, Shen Zhang, Ren Zhang·Jun 10, 2026
Non-Hermitian systems can evade Anderson localization and exhibit delocalized states even in one dimension. Here, we show that such non-Hermitian delocalized states under periodic boundary conditions (PBC) are intrinsically critical, realizing the un...
Bound State Solutions of the Relativistic Finite-difference Equation for the Ring-shaped Quesne Oscillator Potential
Sh. M. Nagiyev, Narmin Nasibova, V. A. Tarverdiyeva +1 more·Jun 10, 2026
We solve exactly the relativistic finite-difference equation for the quantum three-dimensional ring-shaped Quesne oscillator potential. Our investigation is based on a finite-difference version of relativistic quantum mechanics. So-called relativisti...
A semi-definite programming formulation of the device-dependent guessing probability
Raffaele D'Avino, Aurora Mugnai, Miguel Navascués +2 more·Jun 10, 2026
In quantum mechanics, a measurement applied to a state in general produces some amount of intrinsic randomness. This is not only a fundamental feature of the theory, but is also at the basis of any quantum process to generate random numbers. The simp...
The quantum harmonic oscillator and the real Hilbert space
Sergio Giardino·Jun 10, 2026
The harmonic oscillator is considered within generalized frameworks using complex and quaternionic numbers. The classical oscillator is considered in terms of a complex position function, and quantum oscillators are examined in terms of complex wave ...
Clifford disentanglers for entanglement reduction in molecular electronic structure simulations
Longfei Chang, Zibo Wu, Yunzhi Li +5 more·Jun 10, 2026
Entanglement is a key bottleneck limiting the efficiency of tensor-network and quantum simulations of molecular electronic structures. Here, we systematically assess and extend Clifford disentanglers as a structure-preserving approach to entanglement...
A Geometric Family of Correlations Containing the Quantum Singlet
E. Aldo Arroyo·Jun 10, 2026
We introduce a geometrically constrained hidden-variable framework that generates a family of correlations parametrized by a boundary function, within which the quantum singlet correlation appears as a particular member. Exact expressions for the cor...
Shadow Engineering of Quantum Processes
Tian-Ci Tian, De-Tao Jiang, Wei-Ming Zhu +3 more·Jun 10, 2026
Characterizing quantum processes is essential for hardware benchmarking, error diagnosis, and algorithm verification. While recent work [PRX QUANTUM \textbf{4}, 040337 (2023)] extended classical shadows from quantum state to quantum process, enabling...
Measurement-Free Toric-Code Memory in Array Globally Controlled Rydberg Array
Han Wang, Yusheng Zhao, Xiuhao Deng +1 more·Jun 10, 2026
The central prerequisite of any fault-tolerant quantum architecture is a quantum memory: a block of encoded physical qubits whose logical state is actively preserved against noise across many rounds of error correction. In neutral-atom Rydberg arrays...
Experimental Tabletop Petz recovery of a photonic qubit
Hui Li, Jinyan Chen, Yue Pan +4 more·Jun 10, 2026
The quantum information lost in open evolutions cannot be fully recovered, but partial recovery is possible. The Petz recovery map guarantees almost optimal recovery, notably if the chosen reference state is close to the real one. This map has been w...
Dark state spectroscopy in nonlinear waveguide quantum electrodynamics
Shay Nadel, Amir Sivan, Aviv Karnieli·Jun 10, 2026
Quantum systems face a fundamental trade-off: they must remain decoupled from the environment to maintain long coherence times, yet they require interactions with the environment to be accessible for measurement. As a prime example, emitter arrays co...
Super-Heisenberg Non-Equilibrium Quantum Sensing with Waveguide-Coupled Emitters
Mohammad B. Arjmandi·Jun 10, 2026
We explore an array of quantum emitters as non-equilibrium probes, coupled to a one-dimensional photonic waveguide, aiming to estimate its properties such as wave number which encodes the waveguide frequency and dispersive characteristics. By conside...
Controlled ion-ion interactions and cavity-enhanced emission of a coherent dinuclear Eu$^{3+}$ complex
Evgenij Vasilenko, Vishnu Unni Chorakkunnath, Barbora Brachnakova +4 more·Jun 10, 2026
Molecular rare-earth-ion complexes offer unique opportunities for quantum technologies by combining the intrinsic coherence properties of rare-earth ions with chemically tunable molecular environments. A crucial capability is the realization of multi...
Tensor-Network Algorithm for Many-Body Trace Norms
Seunghun Lee, Eun-Gook Moon·Jun 10, 2026
Trace norms are fundamental to quantum information theory, yet in many-body systems their evaluation remains a major computational bottleneck, as it generally requires diagonalizing exponentially large operators. Here, we overcome this bottleneck by ...
Quantum iterative approach to the Traveling Salesman Problem
Arturo Rodríguez-Almazán, Guillermo Rivas, Ricardo S. Alonso +2 more·Jun 10, 2026
The Traveling Salesman Problem (TSP) is a classical NP-hard problem in combinatorial optimization, where determining the shortest route among a set of cities becomes computationally prohibitive as the problem size increases. This work explores quantu...
Large Fluctuations in Open Quantum Systems
V. Yu. Mylnikov, S. O. Potashin, A. Kamenev·Jun 10, 2026
We study statistics of atypical measurement outcomes in the steady states of driven open quantum systems. In equilibrium, the probability distribution over the phase space, as encoded in, e.g., the Wigner function, is analytic in the phase-space coor...
Sparsified Kolmogorov-Arnold Networks for Interpretable Quantum State Tomography
Xinge Wu, Huaxin Wang, Jiajun Liu +4 more·Jun 10, 2026
Machine-learning approaches to quantum state tomography can achieve high reconstruction fidelity, but the physical structure used by the trained model often remains implicit. Here we ask whether a sparsified Kolmogorov-Arnold Network (KAN) can be use...
Mathematical Basis for Analyzing Superconducting Phase Transitions Using Catastrophe Theory
Jiu Hui Wu, Hua Tian, Kejiang Zhou·Jun 10, 2026
We establish a rigorous mathematical bridge from quantum many-body path integrals to the cusp catastrophe model by Lyapunov-Schmidt reduction, which provides a theoretical foundation for analyzing superconducting phase transition using the catastroph...
Enhancing Many-Body Chaos via Entropy Injection from Environment
Yuke Zhang, Wenbo Zhou, Pengfei Zhang·Jun 10, 2026
In closed quantum systems, local information spreads throughout the entire system and becomes highly complex under unitary evolution. In contrast, when the system is embedded in an environment, system-environment coupling can transfer information fro...