The initialization-free Bernstein-Vazirani algorithm's optimal success probability is derived in closed form, with a necessary and sufficient condition for maximal performance and a proof of advantage over the standard probabilistic version.
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Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.
Cavity-mediated interaction plus self-energy renormalization in (1+2) Dirac QED produces enhanced momentum-resolved entanglement entropy and stationary Bell-like states when coherence time exceeds interlayer photon propagation time.
Quantum state evolution in variational algorithms is governed by geometric phase rather than dynamical phase, with entanglement decoupled from evolution in hardware-efficient ansatzes but acting as a dynamical resource in Hamiltonian variational ansatzes.
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Quantum Resources and Performance in the Initialization-Free Bernstein-Vazirani Algorithm
The initialization-free Bernstein-Vazirani algorithm's optimal success probability is derived in closed form, with a necessary and sufficient condition for maximal performance and a proof of advantage over the standard probabilistic version.
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Quantum magic of strongly correlated fermions $-$ the Hubbard dimer
Non-stabilizerness in the Hubbard dimer is quantified via robustness of magic and stabilizer Renyi entropy, revealing the latter's failure on mixed states and distinguishing it from non-Gaussianity and superselected entanglement.
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Entanglement (1+2) QED in a double layer of Dirac Materials
Cavity-mediated interaction plus self-energy renormalization in (1+2) Dirac QED produces enhanced momentum-resolved entanglement entropy and stationary Bell-like states when coherence time exceeds interlayer photon propagation time.
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Calibrating the Role of Entanglement in Variational Quantum Algorithms from a Geometric Perspective
Quantum state evolution in variational algorithms is governed by geometric phase rather than dynamical phase, with entanglement decoupled from evolution in hardware-efficient ansatzes but acting as a dynamical resource in Hamiltonian variational ansatzes.