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 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.
Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.
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.
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.
citing papers explorer
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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 magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness of the Hubbard dimer is computed with robustness of magic and stabilizer Rényi entropy, revealing it as a resource distinct from fermionic non-Gaussianity and superselected entanglement.
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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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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.