n-bit anticoncentrated distributions can be generated from O(log n) qubits via a holographic protocol of interleaved random unitaries and mid-circuit measurements.
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Lloyd, Science273, 1073 (1996)
12 Pith papers cite this work. Polarity classification is still indexing.
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A classical polynomial-time sampler exists for the output distribution of amplitude-damped IQP circuits with logarithmic depth and arbitrary l-local diagonal gates.
Most symmetric separable states with conserved charge N are not symmetrically separable, with number entanglement showing Gaussian concentration around a strictly positive value.
Bowtie VarQTE is a hybrid classical-quantum variational time evolution method that exploits causal light-cones to reduce quantum resource use for state preparation while achieving fidelities comparable to approximate quantum compilation.
Quantum Koopman Algorithms define an observable-space quantum framework for simulating linear quantum and nonlinear classical dynamics with polylog gate costs in some cases.
A recipe for initial points in variational compression of quantum time-evolution operators that provably converges to near-optimal O(N t polylog(N t/ε)) gate complexity for local translationally invariant Hamiltonians.
A learned shallow circuit trained on conserved charges and limited dynamics preserves observables better than direct noisy simulation of deeper circuits in integrable spin chain models.
An entangle-rotate variational circuit improves QFI for quantum metrology in noisy systems, with gains persisting as circuit depth increases even at appreciable decoherence rates.
Quantum trajectory algorithm achieves additive O(T + log(1/ε)) query complexity for simulating dissipative Lindbladians.
Variational compression of Trotterized circuits preserves reaction rate coefficients in nonadiabatic dynamics simulations while reducing circuit depth.
A framework for 2D thermal metamaterials identifies a two-channel transport mechanism where coherent nonlinear excitations coexist with incoherent modes, sensitive to geometry and nonlinearity.
Provides component-wise energy estimates for Rydberg quantum computers and reports a potential energy advantage over classical DFT execution for the Quantum Fourier Transform under ideal error-free conditions.
citing papers explorer
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Anticoncentrated $n$-bit distribution from $\log(n)$ qubits
n-bit anticoncentrated distributions can be generated from O(log n) qubits via a holographic protocol of interleaved random unitaries and mid-circuit measurements.
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Efficient simulation of noisy IQP circuits with amplitude-damping noise
A classical polynomial-time sampler exists for the output distribution of amplitude-damped IQP circuits with logarithmic depth and arbitrary l-local diagonal gates.
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The typicality of symmetry-induced entanglement
Most symmetric separable states with conserved charge N are not symmetrically separable, with number entanglement showing Gaussian concentration around a strictly positive value.
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Bowtie VarQTE: A Resource-Efficient Quantum State Preparation Primitive
Bowtie VarQTE is a hybrid classical-quantum variational time evolution method that exploits causal light-cones to reduce quantum resource use for state preparation while achieving fidelities comparable to approximate quantum compilation.
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Quantum Koopman Algorithms
Quantum Koopman Algorithms define an observable-space quantum framework for simulating linear quantum and nonlinear classical dynamics with polylog gate costs in some cases.
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Near-Optimal Quantum Time Evolution Circuits via Provably Convergent Compression
A recipe for initial points in variational compression of quantum time-evolution operators that provably converges to near-optimal O(N t polylog(N t/ε)) gate complexity for local translationally invariant Hamiltonians.
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Effective Noise Mitigation via Quantum Circuit Learning in Quantum Simulation of Integrable Spin Chains
A learned shallow circuit trained on conserved charges and limited dynamics preserves observables better than direct noisy simulation of deeper circuits in integrable spin chain models.
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Variational quantum state preparation within an entangle-rotate circuit framework for quantum-enhanced metrology in noisy systems
An entangle-rotate variational circuit improves QFI for quantum metrology in noisy systems, with gains persisting as circuit depth increases even at appreciable decoherence rates.
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Quantum algorithms based on quantum trajectories
Quantum trajectory algorithm achieves additive O(T + log(1/ε)) query complexity for simulating dissipative Lindbladians.
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Variationally Compressing Quantum Circuits to Approximate Nonadiabatic Molecular Quantum Dynamics
Variational compression of Trotterized circuits preserves reaction rate coefficients in nonadiabatic dynamics simulations while reducing circuit depth.
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Nonlinear Coherent Transport in 2D Thermal Metamaterials: From Solitons and Topological Defects to Quantum Computing
A framework for 2D thermal metamaterials identifies a two-channel transport mechanism where coherent nonlinear excitations coexist with incoherent modes, sensitive to geometry and nonlinearity.
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Energetics of Rydberg-atom Quantum Computing
Provides component-wise energy estimates for Rydberg quantum computers and reports a potential energy advantage over classical DFT execution for the Quantum Fourier Transform under ideal error-free conditions.