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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Quantifying coherence,
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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.
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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.