A coherence law based on the readout-visible aligned coherence rate (a Rayleigh quotient of the noise generator) predicts gradient survival in noisy U(1)-equivariant QNNs, with simulations confirming R²=0.979 and a special channel test showing no loss where predicted.
Mixed citations
Quantifying coherence,
Mixed citation behavior. Most common role is background (67%).
13
Pith papers citing it
2,491
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Background
67% of classified citations
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representative citing papers
Hard-core boson algebra is reviewed and extended for quantum circuit simulation with reported speedups over Qiskit and a new genetic-algorithm application for circuit synthesis.
Two Bell states keep constant coherence while the other two show parameter-dependent oscillations with frequencies set by coupling and tunnelling under unitary dynamics.
Presents optimization framework and closed-form solutions for convex approximation of quantum channels under α-affinity metric for SU(2)-covariant, Pauli, and amplitude-damping cases.
Negative quantum states from discrete Wigner functions show resilience advantages over Bell states under non-Markovian dynamics, are protected via weak measurements, and are realized on IBM superconducting hardware.
Fractional time order modulates coherence, entanglement, and nonlocality in dimeric PBI molecules via dipole-dipole interactions.
In neutrino oscillations treated as open quantum systems, coherence outlasts steering and negativity under amplitude damping, phase flip, and phase damping, showing memory-induced revivals in non-Markovian regimes.
Closed-form expressions show fidelity, coherence, and entanglement of formation in a four-qubit XXX chain evolve periodically with phase φ = (α + 1)t and freeze completely at α = -1.
A new average correlation for bipartite quantum systems is defined as the difference between global and local skew information; it satisfies non-negativity, contractivity under local channels, and local unitary invariance, with equivalence proven between MUB and Haar-measure definitions plus a wave-
Surveys theoretical concepts of polariton Bose-Einstein condensates, emphasizing that linear and non-interacting effects explain much of the phenomenology including bosonic correlations and coherence buildup.
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.
A literature review synthesizing developments in quantum Wasserstein distances, their applications, and unresolved questions.
citing papers explorer
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A Coherence Law for Trainability in Noisy Equivariant Quantum Neural Networks
A coherence law based on the readout-visible aligned coherence rate (a Rayleigh quotient of the noise generator) predicts gradient survival in noisy U(1)-equivariant QNNs, with simulations confirming R²=0.979 and a special channel test showing no loss where predicted.
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Hard-core Bosons in Action: Applications to Quantum Circuits
Hard-core boson algebra is reviewed and extended for quantum circuit simulation with reported speedups over Qiskit and a new genetic-algorithm application for circuit synthesis.
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Analytic $C_{\ell_1}$ norm of Coherence Evolution for Bell States under a Two-Qubit Superconducting Hamiltonian
Two Bell states keep constant coherence while the other two show parameter-dependent oscillations with frequencies set by coupling and tunnelling under unitary dynamics.
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Optimal convex approximation of quantum channels based on $\alpha$-affinity
Presents optimization framework and closed-form solutions for convex approximation of quantum channels under α-affinity metric for SU(2)-covariant, Pauli, and amplitude-damping cases.
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Discrete and Continuous Wigner Functions in Open Quantum Systems: Non-Markovian and Thermodynamic Effects
Negative quantum states from discrete Wigner functions show resilience advantages over Bell states under non-Markovian dynamics, are protected via weak measurements, and are realized on IBM superconducting hardware.
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Dimeric Perylene-Bisimide Organic Molecules: Fractional-Time Control of Quantum Resources
Fractional time order modulates coherence, entanglement, and nonlocality in dimeric PBI molecules via dipole-dipole interactions.
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Dephasing Effects on the Dynamical Evolution of Quantum Correlations and Coherence in Neutrino Oscillations
In neutrino oscillations treated as open quantum systems, coherence outlasts steering and negativity under amplitude damping, phase flip, and phase damping, showing memory-induced revivals in non-Markovian regimes.
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Unitary dynamics and resource trade-offs in a four-qubit isotropic Heisenberg XXX chain with tunable next-nearest-neighbor coupling
Closed-form expressions show fidelity, coherence, and entanglement of formation in a four-qubit XXX chain evolve periodically with phase φ = (α + 1)t and freeze completely at α = -1.
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Quantum average correlation based on average coherence
A new average correlation for bipartite quantum systems is defined as the difference between global and local skew information; it satisfies non-negativity, contractivity under local channels, and local unitary invariance, with equivalence proven between MUB and Haar-measure definitions plus a wave-
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Polariton BECs: Theory and Concepts
Surveys theoretical concepts of polariton Bose-Einstein condensates, emphasizing that linear and non-interacting effects explain much of the phenomenology including bosonic correlations and coherence buildup.
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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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Wasserstein Distances on Quantum Structures: an Overview
A literature review synthesizing developments in quantum Wasserstein distances, their applications, and unresolved questions.
- A Deficiency-Based Approach for the Operational Interpretation of Quantum Resources with Applications