Higher-order correlator families are recast as operator-space geometries that, when conditioned on a chosen subspace, reveal irreducible structures distinguishing free, integrable, chaotic, localized, and Floquet dynamics.
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In the large-N limit of the SYK model, quantum magic of pure KM states dual to black holes is linear in N with a temperature-tunable slope between 0 and 1/2.
Defines Clifford ergotropy with universal upper bounds that decrease with magic (via infinite-order filtered stabilizer Rényi entropy), shows results for 1-2 qubit systems including a control landscape transition, and derives a Clifford-restricted second law for typical many-body states.
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
Unitaries have an exactly quantifiable purity-constrained imaginarity-generating power that depends on intrinsic unitary properties and concentrates near its maximum for typical Haar-random dynamics in high dimensions.
Complex measurements in three-qubit entanglement protocols concentrate more bipartite entanglement and cut required bond occupation probability by 22.7% in honeycomb-lattice quantum network percolation.
A sampling method combining fast Walsh-Hadamard transform and Clifford-preconditioned Monte Carlo reduces Pauli-string sampling cost from O(2^N) to O(N) with sample count independent of N for stabilizer Rényi entropies and nullity.
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
Rugosity acts as an order parameter for type-I dynamical quantum phase transitions and equals the density of the Loschmidt rate function for type-II transitions in suitable bases.
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
Entanglement asymmetry for inhomogeneous U(1) charges in fragmented systems scales extensively, is bounded by a universal fraction of its maximum, and distinguishes classical from quantum fragmentation.
A new optimization-based protocol estimates quantum coherence from scarce data with system-size-independent cost and is experimentally demonstrated.
Within a restricted low-energy spin-sector ansatz for n-p scattering, direction-averaged magic is locally minimized at the CP-conserving point heta-bar=0 when the effective phase equals heta/4 or lies in specific windows.
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.
Generalized robustness of quantum channel incompatibility lower-bounds the total error of any approximate joint realization, unifying measurement uncertainty and no-disturbance principles.
The paper derives necessary and sufficient conditions for emergent quantum dynamics as a Bayesian inference problem, validates them via semidefinite programming in paradigmatic cases, and defines a new robustness measure against noise.
Defines isoergotropic states and ergotropy-preserving operations that redistribute coherent-incoherent or displacement-squeezing components in quantum batteries without changing total ergotropy.
A computable spectral multipartite entanglement measure based on entanglement graphs is proposed that satisfies standard axioms and yields a generic monogamy relation extending beyond qubits.
citing papers explorer
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Irreducible Geometry of Higher-Order Correlator Families
Higher-order correlator families are recast as operator-space geometries that, when conditioned on a chosen subspace, reveal irreducible structures distinguishing free, integrable, chaotic, localized, and Floquet dynamics.
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Tuning quantum magic of pure quantum chaotic states with a gravity dual
In the large-N limit of the SYK model, quantum magic of pure KM states dual to black holes is linear in N with a temperature-tunable slope between 0 and 1/2.
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Clifford Ergotropy
Defines Clifford ergotropy with universal upper bounds that decrease with magic (via infinite-order filtered stabilizer Rényi entropy), shows results for 1-2 qubit systems including a control landscape transition, and derives a Clifford-restricted second law for typical many-body states.
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Nonlocal nonstabilizerness in free fermion models
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
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Imaginarity-generating power of unitaries: A resource-theoretic approach
Unitaries have an exactly quantifiable purity-constrained imaginarity-generating power that depends on intrinsic unitary properties and concentrates near its maximum for typical Haar-random dynamics in high dimensions.
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Entanglement concentration via measurement:- role of imaginarity
Complex measurements in three-qubit entanglement protocols concentrate more bipartite entanglement and cut required bond occupation probability by 22.7% in honeycomb-lattice quantum network percolation.
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Exponentially Accelerated Sampling of Pauli Strings for Nonstabilizerness
A sampling method combining fast Walsh-Hadamard transform and Clifford-preconditioned Monte Carlo reduces Pauli-string sampling cost from O(2^N) to O(N) with sample count independent of N for stabilizer Rényi entropies and nullity.
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Rise and fall of nonstabilizerness via random measurements
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
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Quantum state texture of dynamical criticality
Rugosity acts as an order parameter for type-I dynamical quantum phase transitions and equals the density of the Loschmidt rate function for type-II transitions in suitable bases.
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Coherence dynamics in quantum many-body systems with conservation laws
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
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Universal Non-stabilizerness Dynamics Across Quantum Phase Transitions
Stabilizer Rényi entropies and Pauli spectrum cumulants show universal power-law scaling with driving rate in slow processes across quantum phase transitions, with the logarithmic Pauli spectrum asymptotically Gaussian, demonstrated in the transverse-field Ising model and long-range Kitaev models.
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Enhancing entanglement asymmetry in fragmented quantum systems
Entanglement asymmetry for inhomogeneous U(1) charges in fragmented systems scales extensively, is bounded by a universal fraction of its maximum, and distinguishes classical from quantum fragmentation.
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Scalable protocol to coherence estimation from scarce data: Theory and experiment
A new optimization-based protocol estimates quantum coherence from scarce data with system-size-independent cost and is experimentally demonstrated.
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Local Minimum of Spin-Sector Magic at the CP-Conserving Point in Low-Energy Neutron-Proton Scattering
Within a restricted low-energy spin-sector ansatz for n-p scattering, direction-averaged magic is locally minimized at the CP-conserving point heta-bar=0 when the effective phase equals heta/4 or lies in specific windows.
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Quantum magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.
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Joint Realizability Tradeoffs Bounded by Quantum Channel Incompatibility
Generalized robustness of quantum channel incompatibility lower-bounds the total error of any approximate joint realization, unifying measurement uncertainty and no-disturbance principles.
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Emergent Quantum Dynamics as a Bayesian Inference Problem: A Critical Analysis
The paper derives necessary and sufficient conditions for emergent quantum dynamics as a Bayesian inference problem, validates them via semidefinite programming in paradigmatic cases, and defines a new robustness measure against noise.
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Charge-Preserving Operations in Quantum Batteries
Defines isoergotropic states and ergotropy-preserving operations that redistribute coherent-incoherent or displacement-squeezing components in quantum batteries without changing total ergotropy.
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Spectral Multipartite Entanglement
A computable spectral multipartite entanglement measure based on entanglement graphs is proposed that satisfies standard axioms and yields a generic monogamy relation extending beyond qubits.
- Quantum Computational Resources and Conformal Field Theory: Unifying Spins, Bosons, and Fermions