A Lindblad-form quantum master equation is derived for the open quantum Rabi model in the perturbative deep strong coupling regime. The derivation combines secular and singular‑coupling approximations in a transformed frame. The equation is benchmarked against an alternative master equation, showing excellent agreement in time evolution and steady‑state observables. Analytical results are provided for limiting cases.
Key points
Derivation uses secular and singular‑coupling approximations.
Benchmark shows excellent agreement with an alternative master equation.
Sources
Adaptive complete quantum search with unknown number of solutions announced
Adaptive complete quantum search with unknown number of solutions is a new algorithmic approach. It uses an adaptive Bayesian method to maximize expected success probability per unit time. The authors provide theoretical proofs of optimality and performance bounds. Numerical simulations validate the analysis.
Key points
Approach: adaptive Bayesian method that maximizes expected success probability per unit execution time.
Optimality: proved asymptotically optimal for known low number of solutions within the considered search model.
Bound: derived upper bound on maximal improvement of fixed-point search versus best Grover-based score.
Sources
SpaceX acquires 800 MHz spectrum for Starlink Mobile indoor coverage
SpaceX says it has acquired 800 MHz of spectrum. The company claims this will let Starlink Mobile provide better indoor coverage and allow signals to penetrate walls and other obstacles. An AT&T CEO tweet said Starlink Mobile won’t be able to penetrate walls.
Key points
Spectrum acquisition: 800 MHz spectrum obtained by SpaceX.
Coverage claim: signals can penetrate walls and other obstacles.
Sources
Quantum Leakage from Shamir Sharing with Correlated Resources paper released
The paper studies leakage from Shamir secret sharing when each device produces a qubit from an initial quantum resource independent of the secret. It proves exponentially small trace distance between leakage states of any two secrets under specified conditions. It gives optimal exponential bases for reconstruction requiring all shares: 2√2/π for a qubit and 2/π for a classical bit.
Key points
Exponential trace distance bound holds for fixed stationary chains with an upper operator mixing condition.
Optimal exponential base is 2√2/π for a qubit and 2/π for a classical bit when reconstruction uses all shares.
Sources
Electricity Access - 92% in 2024, 78% in 2000
Humanity had access to electricity at 92% in 2024, up from 78% in 2000. Between 2021 and 2023 the number of people with electricity grew by roughly 219 million. Some interest questions whether the progress is real.
Key points
Access: 92% of humanity in 2024, 78% in 2000.
Growth: ~219 million new people with electricity from 2021‑2023.
Sources
OpenAI IPO valuation odds drop to 58%
OpenAI's chance of a $1.5 trillion IPO valuation is now 58%. Reports say its annualized revenue is $20 billion below previous estimates.
Key points
Odds: 58% chance of a $1.5 trillion IPO valuation.
Revenue: annualized revenue $20 billion below prior estimates.
