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Balázs Pozsgay and Ian M. Wanless, Quantum 8, 1339 (2024). Absolutely maximally entangled (AME) states of $k$ qudits (also known as perfect tensors) are quantum states that have maximal entanglement for all possible bipartitions of the sites/parties. We consider the problem of whether such states can be decomposed into a tensor network with a small number of tensors, such that all physical and all auxiliary spaces have the same dimension $D$. We find that certain AME states with $k=6$ can be decomposed into a network with only three 4-leg tensors; we provide concrete solutions for local dimension $D=5$ and higher. Our result implies that certain AME states with six parties can be created with only three two-site unitaries from a product state of three Bell pairs, or equivalently, with six two-site unitaries acting on a product state on six qudits. We also consider the problem for $k=8$, where we find similar tensor network decompositions with six 4-leg tensors.

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When an ordinary electrical conductor—such as a metal wire—is connected to a battery, the electrons in the conductor are accelerated by the electric field created by the battery. While moving, electrons frequently collide with impurity atoms or vacancies in the crystal lattice of the wire, and convert part of their motional energy into lattice vibrations. The energy lost in this process is converted into heat that can be felt, for example, by touching an incandescent light bulb.

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Sperm whales rattle off a series of rapid-fire clicks that researchers have named “codas.” Each coda consists of between three and 40 clicks. In addition to changing the number of clicks they make in quick succession, whales often speed up or slow down the tempo of each coda—researchers call this “rubato.” Sometimes, they add an extra “click” at the end of a coda, which scientists call “ornamentation.”

In the end, the team identified 156 distinct codas, each with its own rubato, ornamentation, tempo and rhythm. On their own, these codas may simply be meaningless sounds. But when combined, they could add up to something akin to syllables, words or even sentences.

“We’re now starting to find the first building blocks of whale language,” says study co-author David Gruber, a marine biologist and the founder of Project CETI, to the Associated Press’ Maria Cheng.

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BYD officially launched its new Sea Lion 7, a mid-size smart electric SUV poised to rival Tesla’s top-selling Model Y. Starting at 189,800 yuan ($26,250), the BYD Sea Lion 7 is the first EV based on its new e-Platform 3.0 Evo.

After unveiling the Sea Lion 07 at the Guangzhou Auto Show in November, BYD officially launched the new electric SUV last week.

BYD said it was its first “medium-sized urban smart electric SUV.” It’s also the first EV based on BYD’s new e-Platform 3.0 Evo. The new EV platform is an upgrade from the e-Platform 3.0 with improved charging and powertrain capability.

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