6 papers
More mutually unbiased bases
Mateo Cárdenes Wuttig, Joseph Tindall
Mutually unbiased bases (MUBs) describe quantum measurements for which certainty in one basis gives uniform outcomes in the others. Their maximum number remains unknown in dimensio…
How Good Are Frontier Models at Physics? Expert Re-Grading Reveals Broken Evaluations and Near-Saturation of Leading Benchmarks
Ali Ansari, Haoran Sun, Andy Zeyi Liu +48
Low reported scores on leading physics benchmarks, including those featured in the Artificial Analysis Intelligence Index (2026), suggest that frontier language models still strugg…
A Complete Classification of Complex Hadamard Matrices of Order Six
Mateo Cárdenes Wuttig, Joseph Tindall
Complex Hadamard matrices encode perfectly balanced unitary transformations. Their classification is complete through order five, but order six -- the first dimension in which seve…
Probing Impurity Quantum Criticality with Entanglement Witnesses
Mateo Cárdenes Wuttig, Andrew J. Millis
Entanglement is a defining feature of quantum mechanics, and its relation to quantum criticality is of considerable current interest. Here we show that measurable spin and charge f…
High-field Josephson effect enabled by a moiré Hofstadter spectrum
A. Díez-Carlón, M. Cárdenes Wuttig, N. Wei +7
Magnetic fields generally suppress phase-coherent Josephson transport, limiting superconducting interferometry to relatively low fields. Here we show that moiré-engineered graphene…
From One to Two Dimensions: Magnetic Phases in Weakly Coupled Spin Ladders
Mateo Cárdenes Wuttig, Andrew J. Millis
A large variety of materials can be approximately described by means of spin-1/2 Heisenberg ladders. Here, the Density Matrix Renormalization Group (DMRG) algorithm together with a…