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Live trends in quantum computing research, updated daily from arXiv.

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28,188 papers found

How hard is it to verify a classical shadow?

Georgios Karaiskos, Dorian Rudolph, Johannes Jakob Meyer +2 more·Oct 9, 2025

Classical shadows are succinct classical representations of quantum states which allow one to encode a set of properties P of a quantum state rho, while only requiring measurements on logarithmically many copies of rho in the size of P. In this work,...

Quantum PhysicsComplexity

Randomized and quantum approximate matrix multiplication

Simon Apers, Arjan Cornelissen, Samson Wang·Oct 9, 2025

The complexity of matrix multiplication is a central topic in computer science. While the focus has traditionally been on exact algorithms, a long line of literature also considers randomized algorithms, which return an approximate solution in faster...

Quantum PhysicsData Structures

The communication power of indefinite causal order

Xuanqiang Zhao, Benchi Zhao, Cyril Branciard +1 more·Oct 9, 2025

Quantum theory is in principle compatible with scenarios where physical processes occur in an indefinite order, potentially yielding advantages in a broad range of information processing tasks. However, advantages in communication, the most basic for...

Quantum Physics

A Formalization of the Generalized Quantum Stein's Lemma in Lean

Alex Meiburg, Leonardo A. Lessa, Rodolfo R. Soldati·Oct 9, 2025

The Generalized Quantum Stein's Lemma is a theorem in quantum hypothesis testing that provides an operational meaning to the relative entropy within the context of quantum resource theories. Its original proof was found to have a gap, which led to a ...

Quantum Physicscs.LO

Hardness of recognizing phases of matter

Thomas Schuster, Dominik Kufel, Norman Y. Yao +1 more·Oct 9, 2025

We prove that recognizing the phase of matter of an unknown quantum state is quantum computationally hard. More specifically, we show that the quantum computational time of any phase recognition algorithm must grow exponentially in the range of corre...

Quantum Physicscond-mat.str-elComplexitycs.IT

Localizing entanglement in high-dimensional states

Christopher Vairogs, Akanksha Chablani, Leo Lee +3 more·Oct 9, 2025

In this work, we study the asymptotic behavior of protocols that localize entanglement in large multi-qubit states onto a subset of qubits by measuring the remaining qubits. We use the maximal average n-tangle that can be generated on a fixed subsyst...

Quantum Physics

Learning and certification of local time-dependent quantum dynamics and noise

Daniel Stilck França, Tim Möbus, Cambyse Rouzé +1 more·Oct 9, 2025

Hamiltonian learning protocols are essential tools to benchmark quantum computers and simulators. Yet rigorous methods for time-dependent Hamiltonians and Lindbladians remain scarce despite their wide use. We close this gap by learning the time-depen...

Quantum Physics

Quantum Probe Tomography

Sitan Chen, Jordan Cotler, Hsin-Yuan Huang·Oct 9, 2025

Characterizing quantum many-body systems is a fundamental problem across physics, chemistry, and materials science. While significant progress has been made, many existing Hamiltonian learning protocols demand digital quantum control over the entire ...

Quantum Physicscond-mat.str-elData Structures

Average-case quantum complexity from glassiness

Alexander Zlokapa, Bobak T. Kiani, Eric R. Anschuetz·Oct 9, 2025

Glassiness -- a phenomenon in physics characterized by a rough free-energy landscape -- implies hardness for stable classical algorithms. For example, it can obstruct constant-time Langevin dynamics and message-passing in random $k$-SAT and max-cut i...

Quantum Physicscond-mat.dis-nncond-mat.stat-mech

Compiling Any $\mathsf{MIP}^{*}$ into a (Succinct) Classical Interactive Argument

Andrew Huang, Yael Tauman Kalai·Oct 9, 2025

We present a generic compiler that converts any $\mathsf{MIP}^{*}$ protocol into a succinct interactive argument where the communication and the verifier are classical, and where post-quantum soundness relies on the post-quantum sub-exponential hardn...

Quantum PhysicsCryptography

Quartic quantum speedups for community detection

Alexander Schmidhuber, Alexander Zlokapa·Oct 9, 2025

Community detection is a foundational problem in data science. Its natural extension to hypergraphs captures higher-order correlations beyond pairwise interactions. In this work, we develop a quantum algorithm for hypergraph community detection that ...

Quantum PhysicsData Structures

Optimal Distillation of Qubit Clocks

Sujay Kazi, Iman Marvian·Oct 9, 2025

We study coherence distillation under time-translation-invariant operations: given many copies of a quantum state containing coherence in the energy eigenbasis, the aim is to produce a purer coherent state while respecting the time-translation symmet...

Quantum Physicscond-mat.stat-mechMathematical Physicsmath.ST

Fractional quantum Hall states under density decoherence

Zijian Wang, Ruihua Fan, Tianle Wang +2 more·Oct 9, 2025

Fractional quantum Hall states are promising platforms for topological quantum computation due to their capacity to encode quantum information in topologically degenerate ground states and in the fusion space of non-abelian anyons. We investigate how...

cond-mat.str-elcond-mat.quant-gascond-mat.stat-mechQuantum Physics

Guess your neighbor's input: Quantum advantage in Feige's game

Simon Schmidt, Sigurd A. L. Storgaard, Michael Walter +1 more·Oct 9, 2025

In this article, we study a nonlocal game with two questions and three answers per player, which was first considered by Feige in 1991, and show that there is quantum advantage in this game. We prove that the game is a robust self-test for the $3$-di...

Quantum Physics

Completeness for Fault Equivalence of Clifford ZX Diagrams

Maximilian Rüsch, Benjamin Rodatz, Aleks Kissinger·Oct 9, 2025

Two circuits are considered to be equivalent under noise if the effect of faults on one circuit is no worse than the effect of faults on the other circuit. We call this relationship fault equivalence. Fault equivalence offers a way to transform circu...

Quantum Physics

Universality and kernel-adaptive training for classically trained, quantum-deployed generative models

Andrii Kurkin, Kevin Shen, Susanne Pielawa +2 more·Oct 9, 2025

The instantaneous quantum polynomial (IQP) quantum circuit Born machine (QCBM) has been proposed as a promising quantum generative model over bitstrings. Recent works have shown that the training of IQP-QCBM is classically tractable w.r.t. the so-cal...

Quantum Physics

High-Sensitivity Optical Detection of Electron-Nuclear Spin Clusters in Diamond

Louis Chambard, Alrik Durand, Julien Voisin +3 more·Oct 9, 2025

We perform sensitive nuclear magnetic resonance (NMR) with spin ensembles which are polarized by nitrogen vacancy centers (NV centers) in diamond at room-temperature. With a near shot-noise-limited photoluminescence detection and a highly uniform mag...

Quantum Physics

An Improved Quantum Algorithm for 3-Tuple Lattice Sieving

Lynn Engelberts, Yanlin Chen, Amin Shiraz Gilani +3 more·Oct 9, 2025

The assumed hardness of the Shortest Vector Problem in high-dimensional lattices is one of the cornerstones of post-quantum cryptography. The fastest known heuristic attacks on SVP are via so-called sieving methods. While these still take exponential...

Quantum PhysicsCryptography

Agnostic Product Mixed State Tomography via Robust Statistics

Alvan Arulandu, Ilias Diakonikolas, Daniel Kane +1 more·Oct 9, 2025

We study the complexity of two closely related learning problems, one quantum and one classical. In the quantum setting, we consider agnostic tomography for the natural class of product mixed states. Given $N$ copies of an $n$-qubit state $ρ$, the go...

Quantum PhysicsData Structures

Learning Coulomb Potentials and Beyond with Free Fermions in Continuous Space

Andreas Bluhm, Marius Lemm, Tim Möbus +1 more·Oct 9, 2025

The first-principles formulation of quantum mechanics relevant for quantum chemistry and trapped quantum gases involves particles in the continuous space $\mathbb R^d$. We present a unified framework and modular algorithm for learning external potent...

Quantum PhysicsMathematical Physics
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