Jeffrey C. Y. Teo1 and Yichen Hu21Department of Physics, University of Virginia, Charlottesville, VA22904, USA2The Rudolf Peierls Centre for Theoretical Physics, University of Oxford,...

IntroductionOne of the great episodes in the history of mathematics began on October 23, 1852. In a letter to Sir William Rowan Hamilton, Augustus...

IntroductionThink of the tune to “Pop Goes the Weasel.” Now sing these lyrics: Neg-a-tive b, plus or minusThe square root of b squaredmi-nus four a...

IntroductionIs there more to mathematics than the equal sign? A pair of shoes is different from a pair of gloves, yet we recognize a...

Pei Yuan and Shengyu ZhangTencent Quantum Laboratory, Tencent, Shenzhen, Guangdong 518057, ChinaFind this paper interesting or want to discuss? Scite or leave a...

Mladen PavicicCenter of Excellence CEMS, Photonics and Quantum Optics Unit, Ruder Bošković Institute and Institute of Physics, Zagreb, CroatiaFind this paper interesting or want...

Thinh P. Le1, Chiara Meroni2, Bernd Sturmfels3,4, Reinhard F. Werner5, and Timo Ziegler51Institute for Quantum Optics and Quantum Information Vienna, Boltzmanngasse 3 1090 Vienna,...

IntroductionIn a new proof, a long-neglected mathematical object has finally gotten its moment in the spotlight. At first glance, modular forms — functions whose abundant...

Jonathan F. San Miguel1, Dominic J. Williamson1,2, and Benjamin J. Brown21Department of Physics, Stanford University, Stanford, CA 943052Centre for Engineered Quantum Systems, School...

IntroductionLek-Heng Lim longs for a renaissance that would reunite pure and applied mathematics. He points out that the distinction, which in modern math appears...

Aleksander Kubica1,2 and Nicolas Delfosse31Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada2Institute for Quantum Computing, University of Waterloo, Waterloo, ON N2L 3G1,...

A binary colloidal mixture can exist in up to six phases at the same time,...