Researchers derive exact analytical expressions for multipartite entanglement exponents near measurement-induced phase transitions in quantum circuits, revealing power-law long-range correlations that circumvent entanglement monogamy constraints.

Researchers derive exact analytical expressions for multipartite entanglement exponents near measurement-induced phase transitions in quantum circuits, revealing power-law long-range correlations that circumvent entanglement monogamy constraints.
EPFL researchers proved quantum interactive proof systems can verify solutions with perfect certainty using only 1-2 communication rounds instead of 3+. Uses block-encoded matrices and turn-halving transformations, resolving longstanding protocol limits.
Resolves a 30-year conjecture: accessible information of quantum dichotomies is attained by projective measurements. Provides explicit construction of optimal measurements and frames the computation as a convex optimization problem.
Introduces computable upper bounds on asymptotic relative entropy of entanglement via k-multinegativity, proves additivity for Werner states and related families, and disproves finite collapse conjectures for entanglement cost hierarchies.
Extended mutually unbiased bases to arbitrary-rank measurements with new structural relations. Proved incompatibility robustness equals λ₃,ₙ/3 for all 3-UMs. Hadamard-Clifford construction yields first non-binary examples.
Researchers construct operator solutions to linear systems over odd primes with no classical solutions, extending the Mermin-Peres magic square and resolving a long-open problem in quantum information theory.
Proves hypercontractivity implies entropy contraction for quantum channels; derives modified log-Sobolev bounds for KMS-symmetric quantum Markov semigroups and establishes quantitative connections to approximate tensorization of relative entropy.
Efficient protocols now enable learning of Hamiltonian parameters in bosonic quantum systems with logarithmic sample complexity—using only heterodyne measurements, dramatically reducing observations needed.
Proves minimum-output Rényi-entropy additivity fails by almost one bit simultaneously at all orders using direct products of free groups and tensorized Haagerup inequalities with finite-dimensional quantum channels.
Derived asymmetric bounds on quantum thermalization using thermal analyticity. Gravitational scrambling in holographic systems saturates the strongest directional constraints, linking quantum chaos to information theory.
Analytical and numerical investigation of Rényi and Tsallis entropies for position-dependent mass harmonic oscillators using Gegenbauer polynomials and Bessel functions, demonstrating convergence to Shannon entropy at asymptotic limits.
Establishes unbounded two-use Holevo additivity gaps in finite quantum channels with explicit dimension bounds. Gap grows linearly with channel uses, proving entanglement provides arbitrarily large classical communication advantages.
Establishes exact tradeoff between bath dimension and initialization entropy for implementing quantum channels repeatedly in closed systems, characterizing achievable rate regions determined by entropy exchange and a smoothed extension cost metric.
Study reveals how measurements extract information from quantum systems, quantifying the fundamental gap between classical measurements and quantum precision limits through explicit geometric tensor framework on qutrit platforms.
Establishes sharp upper bounds on quantum state purity for APPT states, determines exact minimum von Neumann entropy for qubit-qudit systems, and proves exponential decay rate ln(27/4) for spectral volumes. Disproves the Dũng–Khôi conjecture.
Researchers show min-relative nonlocal magic can detect subtle reorganization of quantum entanglement during ergodic-to-localized phase transitions, revealing phenomena invisible to conventional entanglement entropy measures.
Study establishes bounds on equally antidistinguishable state sets and demonstrates that polygonal models can exceed quantum performance on exclusion tasks, with implications for probing nonclassicality beyond quantum mechanics.
Proves generalized quantum Stein's lemma holds when null hypothesis deviates from ideal i.i.d. regime using Wasserstein distance metric, establishing robust performance bounds for quantum hypothesis testing and resource manipulation.
Optimal qubit state conversion rates determined by Fisher information eigenvalues. Both concentration & dilution protocols implementable using only SWAP tests—no additional gates required.
Optimal bounds for k-learnable quantum states enable partial state identification without errors. Results include exact copy complexity for stabilizer states, SIC-POVMs, MUBs, and applications to quantum anomaly and changepoint detection.