Introduces practical witnesses of fermionic non-Gaussianity via antiflatness from covariance matrices, with two efficient measurement protocols, a purity-corrected version for mixed states, and experimental results on an IQM processor showing noise effects and requirements for pseudorandom states.
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Mpemba effects in quantum complexity
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In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
A new Gaussian asymmetry measure is defined that quantifies the minimal distance from a Gaussian state to the manifold of symmetric Gaussian states while capturing established dynamical signatures of entanglement asymmetry.
A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
Efficient algorithms compute stabilizer Rényi entropy and mana for quantum states from vectors at O(N d^{2N}) cost using fast Hadamard transform, with open-source implementation.
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.
Memoryful open random quantum circuits sustain entanglement and magic growth like unitary circuits while memoryless ones show decaying entanglement but persistent magic, with memoryful dynamics approaching k-designs more effectively.
Haar random qubit states show vanishing fermionic non-Gaussianity for subsystems smaller than half the total size without symmetry, small but finite non-Gaussianity with U(1) symmetry, and extensive non-Gaussianity for larger subsystems.
Quenching the cavity decay rate in the Jaynes-Cummings model produces faster atomic excitation decay than constant dissipation, realizing the quantum Pontus-Mpemba effect.
Closed-form formula computes non-local magic for fermionic Gaussian states from two-point correlations in polynomial time.
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.
In chaotic quantum systems with conservation laws, states initially farther from equilibrium can thermalize faster than closer ones via hydrodynamic relaxation differences, realizing the quantum Mpemba effect.
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.
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
citing papers explorer
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Practical Tests and Witnesses of Fermionic non-Gaussianity
Introduces practical witnesses of fermionic non-Gaussianity via antiflatness from covariance matrices, with two efficient measurement protocols, a purity-corrected version for mixed states, and experimental results on an IQM processor showing noise effects and requirements for pseudorandom states.
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Nonstabilizerness Mpemba Effects
In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
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A Gaussian asymmetry measure
A new Gaussian asymmetry measure is defined that quantifies the minimal distance from a Gaussian state to the manifold of symmetric Gaussian states while capturing established dynamical signatures of entanglement asymmetry.
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Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond
A resource theory for strong symmetry breaking is formulated, with the variance of the conserved quantity characterizing its asymptotic manipulation for U(1) symmetry and enabling tracking of weak-to-strong conversion in open systems.
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Computing quantum magic of state vectors
Efficient algorithms compute stabilizer Rényi entropy and mana for quantum states from vectors at O(N d^{2N}) cost using fast Hadamard transform, with open-source implementation.
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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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Resource generation and dynamical complexities in open random quantum circuits
Memoryful open random quantum circuits sustain entanglement and magic growth like unitary circuits while memoryless ones show decaying entanglement but persistent magic, with memoryful dynamics approaching k-designs more effectively.
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Non-Gaussianity of random quantum states
Haar random qubit states show vanishing fermionic non-Gaussianity for subsystems smaller than half the total size without symmetry, small but finite non-Gaussianity with U(1) symmetry, and extensive non-Gaussianity for larger subsystems.
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Pontus-Mpemba effect in cavity quantum electrodynamics
Quenching the cavity decay rate in the Jaynes-Cummings model produces faster atomic excitation decay than constant dissipation, realizing the quantum Pontus-Mpemba effect.
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Non-Local Magic Resources for Fermionic Gaussian States
Closed-form formula computes non-local magic for fermionic Gaussian states from two-point correlations in polynomial time.
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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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Quantum Mpemba effect in chaotic systems with conservation laws
In chaotic quantum systems with conservation laws, states initially farther from equilibrium can thermalize faster than closer ones via hydrodynamic relaxation differences, realizing the quantum Mpemba effect.
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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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Lecture Notes on Replica Tensor Networks for Random Quantum Circuits
Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.