Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
Evenly dis- tributed unitaries: On the structure of unitary de- signs,
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The frame potential of a disordered Tomonaga-Luttinger liquid decays as a power law at early times and saturates to a late-time plateau controlled by a single coupling parameter.
The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
A framework for partially-blind single-qubit classification (PB-SQC) is proposed and simulated on a credit-card fraud dataset using realistic hardware parameters in a heterogeneous quantum network, with performance approaching a classical deep-belief network.
QFTLM computes thermal expectation values on quantum computers by merging quantum Krylov methods with efficient typical-state preparation for trace estimation.
A Julia package implementing Weingarten calculus and Wick contractions for symbolic Haar integration over compact groups and random matrix ensembles.
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits
Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
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Solvable Random Unitary Dynamics in a Disordered Tomonaga-Luttinger Liquid
The frame potential of a disordered Tomonaga-Luttinger liquid decays as a power law at early times and saturates to a late-time plateau controlled by a single coupling parameter.
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Operational interpretation of the Stabilizer Entropy
The stabilizer Rényi entropy governs the exponential rate at which Clifford orbits become indistinguishable from Haar-random states and sets the optimal distinguishability from stabilizer states in property testing.
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Partially-Blind Single-Qubit Classification over a Prototype Hybrid Quantum Network
A framework for partially-blind single-qubit classification (PB-SQC) is proposed and simulated on a credit-card fraud dataset using realistic hardware parameters in a heterogeneous quantum network, with performance approaching a classical deep-belief network.
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Quantum Finite Temperature Lanczos Method
QFTLM computes thermal expectation values on quantum computers by merging quantum Krylov methods with efficient typical-state preparation for trace estimation.
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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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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.