Self-Organizing Trivalent Spin Network

Spin dynamics in a Loop Quantum Gravity model with self-organized criticality leads to avalanches. Employing ergodic concepts, a perimeter–entropy relation is derived for the dimensionally reduced black hole. This entropy originates from the excitation–relaxation spin dynamics during avalanche cycles. For further details, see article number 2400109 by Christine C. Dantas.

This review explores the Microscopic Markov Chain Approach (MMCA), a probabilistic framework well-suited for modeling epidemic dynamics using discrete-time states. It highlights MMCA's ability to precisely estimate the likelihood of epidemiological states over daily intervals, offering insightful perspectives into the spread of epidemics.

Using ergodic concepts, this work formalizes spin dynamics in a Loop Quantum Gravity model exhibiting self-organizing criticality (SOC). A perimeter-entropy form is derived, which can be reduced to the Bekenstein-Hawking law for the (2+1)-D BTZ black hole by adjusting a potential function in the formalism. The microscopic origin of this SOC entropy is the excitation-relaxation spin dynamics in the avalanche cycles.

It is predicted, that the active medium population fluctuation effect on the cavity mode spontaneous emission causes the super-thermal photon statistics (g2$$>$$2) in a small quantum super-radiant LED with a bad cavity of the linwidth $$2{\kappa }>{\gamma }{\bot }$$, which is the active medium transition width, and a strong field-matter coupling $$\Omega$$.

The three first sidebands corresponding to the central transmission band T0 (blue), and the first two sidebands T-1 (red) and T1 (green) are shown as a function of the energy.

A three-qubit and $$\mathbb {C}^{2}\otimes \mathbb {C}^{3}\otimes \mathbb {C}^{3}$$ controlled-SWAP gate with linear optical elements is presented. Moreover, the implementation of a controlled-SWAP gate where the target position is a d-level system is further proposed. It requires less linear optical elements. The optical depth of the program is still five. Moreover, the fidelity of the scheme for the three-qubit controlled-SWAP gate is improved.

The study analyzed late Universe expansion using the Hořava–Lifshitz (HL) Model with 281 observational data points, optimizing cosmological parameters without CMB priors. It is found $$H_0 = 69.828 \pm 1.010$$ km $${\rm s}^{-1}\, {\rm Mpc}^{-1}$$ and $$r_d = 146.826 \pm 2.202$$ Mpc for $$\Lambda{\rm CDM}$$, and $$H_0 = 69.966 \pm 1.404$$ km $${\rm s}^{-1}\, {\rm Mpc}^{-1}$$ and $$r_d = 145.843 \pm 2.470$$ Mpc for HL. Statistical criteria favor $$\Lambda{\rm CDM}$$, though HL shows substantial evidence, underscoring the value of alternative models.

The article delves into the realm of correlated non-Markovian channels, presenting the potential memory resulting from the correlated action of the channels as well as the memory effects arising from non-Markovian dynamics. It reveals the intriguing connection between the channel correlation factor and non-Markovianity, further demonstrating the benefits of memory in error correction.

A quantum Otto cycle model using a central atom interacting with multiple Heisenberg spin chains is examined. The system turns into a spin-star model and work, heat transfer, and efficiency for X, XX, and XYZ configurations are studied. The study explores how frequency and coupling parameters affect performance. The X-configuration demonstrates superior efficiency, with increased central atom frequency.

Through the generalized fractional derivative, it is studied how the decay term and the fractional parameter affect the quantum system, specifically the interaction between the SU(1,1) algebraic system and a three-level atom. The influence of decay and fractional parameter on phenomena such as revival and collapse, entropy squeezing, purity, and concurrence are investigated. Results demonstrate how both decay and fractal parameter affect periods of collapse and revival. It is worth noting that the decay parameter shortens the collapse periods, while an increase in the fractional parameter leads to longer collapse periods. The decay parameter also reduces the degree of entanglement between the different components of the quantum system, while increasing the fractional parameter enhances the entanglement within the quantum system.

This paper studies the influence of different types of next-nearest-neighbor couplings on the dispersion relation of the lattice model and the dynamics of the corresponding giant-atom system. By tailoring the next-nearest-neighbor coupling terms, the lattice can be either Hermitian or non-Hermitian, which enable essentially different dynamics.

Simplified quantum circuits for teleporting arbitrary single-qubit message via GHZ state, two-qubit cluster state, three-qubit cluster state, Brown state, Borras state, and entanglement swapping are presented. The gate-count/cost/depth is dramatically decreased, and no classical feed-forward recover operation is required.

Two protocols for achieving interconversion between W state and Knill–Laflamme–Milburn state assisted by quantum dot (QD)-cavity systems and quantum control gates are proposed. The protocols employ a heralded approach to predict failures and facilitate interaction between the QD-cavity system and photons. The proposed two protocols achieve remarkable utilization of photons and achieve near-unit fidelities and high efficiencies in principle.