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Tomiyama-Type Maps With Diagonal Perturbations

Investigates two-parameter families of linear maps on matrix algebras via diagonal perturbations of classical Tomiyama maps, deriving explicit conditions for positivity and k-positivity using Choi matrix and block-positivity techniques.

#QuantumInformation #OperatorTheory #Research

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Quantum Mechanics on Real Numbers Reproduces Standard Quantum Theory via Kähler Spaces

A rigorous real-valued quantum framework using Kähler geometry perfectly reproduces all standard quantum predictions, including maximal Bell violations. Complex numbers encode geometric structure, not fundamental necessity.

#QuantumInformation #QuantumFoundations #Research

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Quantifying Entanglement in Mixed Spin States: Separable Approximations from Spin-Squeezing Inequalities

New methods for quantifying quantum entanglement in realistic mixed spin states reveal that entanglement can emerge at nonzero temperature even in classically ordered phases, refining understanding of quantum correlations beyond ground states.

#QuantumEntanglement #QuantumInformation #News

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Polarization, Maximal Concurrence, and Pure States in High-Energy Collisions

Study establishes quantitative relation between spin polarization and quantum entanglement in two-qubit systems, proving that increasing local polarization constrains maximum achievable entanglement—validated through high-energy collision analysis.

#QuantumEntanglement #QuantumInformation #Research

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Generalized Choi Maps for Detecting Bound Entanglement in Higher-Dimensional Quantum Systems

We construct explicit extensions of Kye's indecomposable maps to 4-dimensional systems, enabling detection of bound entangled states and revealing structural features of PPT-entangled regions beyond previously characterized lower dimensions.

#BoundEntanglement #QuantumInformation #Research

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Time Evolution of Quantum Gates and the Necessity of Complex Numbers

Mathematical proof that quantum gates' physical time evolution forces qubits away from real numbers. Complex phases are essential—rebits confined to real values cannot remain real during gate operations.

#QuantumInformation #QuantumTheory #Research

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Complexity-Constrained Quantum Correlations and Computationally Inaccessible Entanglement

New framework reveals computational complexity creates 'hidden' quantum correlations. Proves highly entangled states appear uncorrelated to efficient observers—separations range from logarithmic to nearly maximal in key examples.

#QuantumInformation #ComputationalComplexity #Research

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Unified Theory of Double-Scaled Embedded Ensembles and Sachdev-Ye-Kitaev Models

Novel mathematical framework proves fermionic and bosonic quantum systems exhibit universal SYK properties via q-Wick products. Establishes duality with q-oscillator Hilbert spaces, unifying 50+ years of embedded ensemble theory with quantum chaos.

#QuantumChaos #RandomMatrices #QuantumInformation

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Sharp Quantum Logarithmic Trace Inequality with Optimal Constants

Novel iterative integration-by-parts method establishes optimal constants in quantum trace inequalities, improving bounds in decoupling and convex-splitting—key primitives for finite-resource quantum information protocols.

#QuantumInformation #QuantumTheory #Research

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Recurrence Time for Finite Quantum Systems

Study derives bounds on recurrence time in finite quantum systems using Dirichlet's approximation theorem, proving when all quantum states return to initial configurations in both continuous and discrete time evolution.

#QuantumInformation #QuantumTheory #Research

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Correction: Fisher Information Criterion in Contextual Quantum Metrology

Author correction highlights mismatch between Fisher information criterion and operational quasiprobability model's sampling distribution in contextual quantum metrology framework.

#QuantumMetrology #QuantumInformation #News

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Entanglement Bounds From Bell Nonlocality in General Scenarios

Researchers establish a fundamental connection between entanglement and Bell nonlocality by showing that the distance to local correlations provides bounds on the distance to separable states, enabling new quantification of entanglement measures.

#QuantumInformation #BellNonlocality #News

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Distributed Quantum State Verification Under Communication Constraints

Researchers establish quantifiable limits for distributed quantum state verification with restricted communication, achieving O(d²/2^(nq)ε²) sample complexity and revealing public randomness dramatically improves network performance.

#QuantumNetworks #QuantumInformation #News

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Quantum-State Texture: Novel Complexity Measure and Detection Method

Researchers introduce quantum-state texture, a new measure of quantum state properties using Rényi relative entropy. Achieves 20% precision improvement and develops texture witnesses for experimental detection, advancing quantum information analysis tools.

#QuantumInformation #QuantumTheory #News

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Thermal Time and Irreversibility from Non-Commuting Observables in Accelerated Quantum Systems

Temporal ordering becomes physically meaningful when quantum states exhibit KMS thermal structure and detectors couple through non-commuting observables. Relative entropy quantifies irreversibility governed by local temperature in accelerated systems.

#QuantumInformation #UnruhEffect #Research

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Sufficiency and Petz Recovery for Positive Maps in Quantum Information Theory

This paper establishes a rigorous mathematical framework using Jordan algebras to characterize quantum state distinguishability under positive maps, proving that minimal sufficient structures are generated by hypothesis testing projectors.

#QuantumInformation #JordanAlgebras #Research

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Lorentzian Symmetries Emerge Naturally from Quantum Information Principles

Novel mathematical framework shows relativistic (Lorentz) symmetries emerge from quantum information itself, without assuming spacetime. Linear entropy preservation on single qubits naturally produces restricted Lorentz transformations.

#QuantumInformation #LorentzInvariance #Research

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Fermionic Entanglement and Quantum Correlations in Molecular Systems

Novel entanglement measures for fermionic systems analyzed in water molecule ground and thermal states across dissociation curve using quantum information theory, introducing two-body negativities and mutual information measures.

#QuantumInformation #QuantumChemistry #Research

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Two-State Vector Formalism: Deriving Born Rule from Time-Symmetric Hidden Variables

Gedik generalizes Bell's hidden variable model to arbitrary dimensions, attributing physical meaning to backward-in-time states. A deterministic, time-symmetric rule recovers the Born rule and provides a novel demonstration of the PBR theorem.

#QuantumFoundations #QuantumInformation #Research

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Bundle Isomorphism Linking Complex Velocity Fields to Quantum Fisher Operators

New bundle isomorphism connects Madelung-Bohm complex velocity to the symmetric logarithmic derivative operator, unifying stochastic gravity, quantum information geometry, and topological phases potentially detectable via atom interferometry.

#QuantumInformation #StochasticGravity #Research

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Periodic Orbit Trace Formula for Quantum Scrambling via Normally Hyperbolic Invariant Manifolds

Derives a semiclassical OTOC expansion as a coherent sum over unstable periodic orbits on the NHIM near index-1 saddle points, linking quantum scrambling rates to classical transition-state geometry and enabling mode-selective control predictions.

#QuantumChaos #QuantumInformation #Research

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Mutual Information Harvesting by Circularly Accelerated Detectors Near a Reflecting Boundary

Circularly accelerated UDW detectors near a reflecting boundary show oscillatory mutual information harvesting at high acceleration and small radius (fast rotation), with boundary reflections intensifying oscillations via coherent superposition.

#QuantumInformation #RelativisticQuantum #Research

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Entanglement Concentration via Imaginary Measurement Bases in Three-Qubit Systems

Complex-valued (imaginary) measurement bases outperform standard GHZ-basis in three-qubit entanglement concentration and swapping, reducing quantum network percolation bond occupation probability by 22.7% and entanglement requirements by 10.6%.

#QuantumInformation #QuantumNetworks #Research

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Distinguishability of Locally Diagonal Orthogonally Invariant Quantum States

New framework reduces quantum state discrimination complexity from n⁴ to O(n²) for LDOI states (Werner, isotropic, X-states, Dicke). Proves LOCC=SEP=PPT optima for all two-qubit cases; PPT-LOCC gap bounded by (n-2)/(2n²), max 1/16 at n=4.

#QuantumInformation #QuantumStateDiscrimination #Research

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Partial Majorization and Schur Concave Functions on Quantum and Classical States

New tight upper bounds on entropy differences under m-partial majorization generalize key quantum information inequalities. Introduces ε-sufficient majorization rank, a novel metric characterizing quantum state spectrum decay rates.

#QuantumInformation #QuantumEntropy #Research

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Observer Effect Modulates Classification in a Quantum Epistemic Framework

Using Lindblad master equation & adaptive POVM, sensory inputs are encoded as quantum oscillator states entangled with observer beliefs, yielding subjective probabilistic classification where sceptic-believer position governs noise robustness.

#QuantumCognition #QuantumInformation #News

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LOCC Cannot Locally Mark Tripartite Unitaries Despite Global Distinguishability

Researchers prove 3 tripartite product unitaries are globally distinguishable yet impossible to locally mark via LOCC — contradicting quantum state behavior and establishing a strict hierarchy: local discrimination < local marking < global discrimination.

#QuantumInformation #LOCC #News

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Nonlocal Games: Bell Locality to Quantum Pseudo-Telepathy via Representation Theory

Unifies CHSH, GHZ, and Magic Square games across four frameworks—correlation, Bell functional, entangled-value, and NPA hierarchy—demonstrating quantum strategies achieve perfect win probabilities impossible classically, including pseudo-telepathy.

#QuantumInformation #BellInequality #Research

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Quantum Algorithm for Trace Distance Estimation via Density Matrix Exponentiation and Improved QPE

New algorithm using LMR density matrix exponentiation and Improved QPE estimates trace distance between arbitrary pure/mixed quantum states in O(N^8) time, validated with proof-of-principle runs on IBM Brisbane quantum hardware.

#QuantumAlgorithms #QuantumInformation #Research

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⚛️🧪 Our scope covers (but not limited to):
🔹 Integrable vs chaotic dynamics
🔹 Quantum algebras & groups
🔹 Spin chains
🔹 Exact scattering & S-matrices
🔹 Statistical mechanics
🔹 Quantum info & computation

#QuantumInformation #StatisticalMechanics #PhysicsResearch

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