Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.
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Linear stabilizer entropy (purity minus stabilizer purity) is an exponentially reliable non-stabilizerness monotone, a 'resource proxy', over Haar-random, Clifford-orbit and random-MPS ensembles, with a positive averaged gap across the XY-model phase diagram.
Pure-state BNMR is an intrinsic function of the nonzero Schmidt spectrum via dimension reduction, yielding quadratic perturbation response, Haar-random profiles localized at symmetric cuts, and closed forms for rank-2 states.
The internal entanglement entropy of a proton is similar in magnitude to the Gibbs entropy of the QGP droplet from which the proton formed.
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.
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
Quantum many-body scars in a kicked long-range Ising model produce time-translation symmetry breaking via π-paired Floquet doublets, yielding period-doubling oscillations that scale to last exponentially long in system size for selected initial states.
A Julia package implementing Weingarten calculus and Wick contractions for symbolic Haar integration over compact groups and random matrix ensembles.
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.
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Some progress on the use of the variational method in quantum field theory
Relativistic continuous matrix product states yield competitive variational approximations to ground state energies and observables in the phi^4, Sine-Gordon, and Sinh-Gordon models, including strongly coupled regimes.
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Stabilizer entropy is trustworthy for mixed states
Linear stabilizer entropy (purity minus stabilizer purity) is an exponentially reliable non-stabilizerness monotone, a 'resource proxy', over Haar-random, Clifford-orbit and random-MPS ensembles, with a positive averaged gap across the XY-model phase diagram.
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Intrinsic spectral structure of bipartite nonlocal magic resource
Pure-state BNMR is an intrinsic function of the nonzero Schmidt spectrum via dimension reduction, yielding quadratic perturbation response, Haar-random profiles localized at symmetric cuts, and closed forms for rank-2 states.
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Looking at the Entropy in a Proton through a QGP Lens
The internal entanglement entropy of a proton is similar in magnitude to the Gibbs entropy of the QGP droplet from which the proton formed.
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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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The Maximal Entanglement Limit in Statistical and High Energy Physics
Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.
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Quantum many-body scars leading to time-translation symmetry breaking in kicked interacting spin models
Quantum many-body scars in a kicked long-range Ising model produce time-translation symmetry breaking via π-paired Floquet doublets, yielding period-doubling oscillations that scale to last exponentially long in system size for selected initial states.
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IntegrateUnitary.jl: A Julia package for symbolic integration over Haar measures
A Julia package implementing Weingarten calculus and Wick contractions for symbolic Haar integration over compact groups and random matrix ensembles.
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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.
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