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Euler's 36-Piece Puzzle has a Quantum Solution!

By Inés Urdaneta / Physicist and research scientist at Resonance Science Foundation

What is this 240-year-old problem all about?

Leonhard Euler (1707 - 1783), Swiss mathematician and physicist, is most popularly known for his glorious equation called Euler's Identity: e + 1 = 0, depicted below.

Geometric interpretation of Euler's identity, where i represents the imaginary axis of the complex plane and φ is the angle.

Euler’s contributions in mathematics have been indispensable for the development of physics, particularly in quantum mechanics. As if that were not enough, now the quantum solution to Euler’s puzzle will probably mark a milestone in quantum computation, and in information theory. The puzzle as such consists of the following: Euler had examined the problem of having six different regiments, each with six officers of different ranks,  and he wondered if these 36 officers can be arranged in a 6x6 square, so that each row and column...

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Experiment Shows Possibility of Using Multicellular Organism the Tardigrade in Probing Macroscopic Quantum States

Tardigrade revived after most inhospitable conditions yet documented for the meiofauna organism, setting a record for the conditions under which a complex form of life can survive.

By: William Brown, Biophysicist at the Resonance Science Foundation

A new study has claimed to have taken a tardigrade— a microscopic multicellular organism known to tolerate extreme physiochemical conditions via a latent state of life known as cryptobiosis—and prepared it in a type of superconducting Josephson junction known as a transmission line shunted plasma oscillation qubit, or transmon for short, causing the tardigrade (in the suspended cryptobiosis state) to purportedly become entangled in the qubit system.

Figure from: K. S. Lee et al., “Entanglement between superconducting qubits and a tardigrade,” arXiv:2112.07978 [physics, physics:quant-ph], Dec. 2021, Accessed: Jan. 03, 2022. [Online]. Available:

When the suspended tardigrade was...

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Quantum Simulator Reveals New State of Matter Possible with Topological Spin Liquids

By Resonance Science Foundation biophysicist William Brown

Quantum spin liquids are exotic phases of matter that offer potential applications in robust quantum information processing with topological qubits. Quantum spin liquids are a phase of matter that feature long-range quantum entanglement involving the magnetic dipoles, or spin, of electrons. Unlike in conventional magnets where the magnetic dipoles of electrons all align and freeze into place, electrons in this new exotic phase are constantly changing and fluctuating like a liquid— leading to one of the most entangled states of matter ever conceived. 

Until recent investigations it was unknown if such a highly quantum correlated magnetic state could be realized in an actual physical system. Now, using a 219-atom programmable quantum simulator a team of Harvard researchers have shown that quantum matter and protected quantum information processing are possible with topological spin liquids. Their findings...

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